Updated on 2024/07/28

Information

 

写真a

 
SHIRAI TOMOYUKI
 
Organization
Institute of Mathematics for Industry Division of Fundamental mathematics Professor
School of Sciences Department of Mathematics（Joint Appointment）
Graduate School of Mathematics Department of Mathematics（Joint Appointment）
Joint Graduate School of Mathematics for Innovation （Joint Appointment）
School of Engineering Department of Electrical Engineering and Computer Science（Joint Appointment）
School of Engineering （Joint Appointment）
Title
Professor
Contact information
メールアドレス
Profile
It is known that the eigenvalues of a random matrix called Gaussian unitary ensemble have fermionic nature as a random point field. We abstract it and construct a class of random point fields called deteminantal point processes or fermion random fields. The representation of infinite dimensional symmetric group or the zeros of a certain random power series can be expressed as an example. I am now studying its further generalization. There are intimate connections between random walks on graphs, spectra of Laplacians on graphs and the geometric properties of graphs, which I am interested in and would like to clarify. Recently, I am also working on random topology.
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External link

Degree

  • Ph.D (Mathematical Sciences)

Research History

  • 金沢大学理学部計算科学科助教授,　2002年4月〜2004年3月 東京工業大学理工学研究科数学専攻助手、1998年9月〜2002年3月 京都大学数理解析研究所学振特別研究員、1996年5月〜1998年8月

Research Interests・Research Keywords

  • Research theme：Bitcoin graph and stochastic models

    Keyword：bitcoin graph

    Research period： 2022.4

  • Research theme：Random fields and machine learning

    Keyword：random fields, machine learning

    Research period： 2020.4 - 2023.3

  • Research theme：Persistent homology of random simplicial complexes

    Keyword：Persistent homology, random simplicial complexes

    Research period： 2013.4

  • Research theme：Determinantal probability

    Keyword：determinantal point processes

    Research period： 2009.9 - 2028.3

  • Research theme：Random walks on graphs and spectral geometry

    Keyword：ランダムウォーク、スペクトル幾何

    Research period： 1996.9

  • Research theme：Fermion random fields and its generalization

    Keyword：ランダム場，fermion, boson, alpha-determinant

    Research period： 1996.9

Awards

  • 日本数学会 2016年JMSJ論文賞

    2016.3   日本数学会   Ginibre-type point processes and their asymptotic behavior, JMSJ Volume 67, Number 2 (2015), 763-787.

Papers

  • Torsion-weighted spanning acycle entropy in cubical lattices and Mahler measures Reviewed International journal

    Yasuaki Hiraoka and Tomoyuki Shirai

    Journal of Applied and Computational Topology   2024.2

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    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： https://doi.org/10.1007/s41468-024-00163-y

  • Local universality of determinantal point processes on Riemannian manifolds Reviewed International journal

    Proc. Japan Acad. Ser. A Math. Sci. 98 (2022) 95-100. oepn access   98   95 - 100   2022.10

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    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： https://doi.org/10.3792/pjaa.98.018

  • Zeros of the i.i.d. Gaussian Laurent Series on an Annulus: Weighted Szegő Kernels and Permanental-Determinantal Point Processes Reviewed International journal

    392   1099 - 1151   2022.6

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    Language：English   Publishing type：Research paper (scientific journal)  

    On an annulus 𝔸𝑞:={𝑧∈ℂ:𝑞<|𝑧|<1} with a fixed 𝑞∈(0,1), we study a Gaussian analytic function (GAF) and its zero set which defines a point process on 𝔸𝑞 called the zero point process of the GAF. The GAF is defined by the i.i.d. Gaussian Laurent series such that the covariance kernel parameterized by 𝑟>0 is identified with the weighted Szegő kernel of 𝔸𝑞 with the weight parameter r studied by McCullough and Shen. The GAF and the zero point process are rotationally invariant and have a symmetry associated with the q-inversion of coordinate 𝑧↔𝑞/𝑧 and the parameter change 𝑟↔𝑞2/𝑟. When 𝑟=𝑞 they are invariant under conformal transformations which preserve 𝔸𝑞. Conditioning the GAF by adding zeros, new GAFs are induced such that the covariance kernels are also given by the weighted Szegő kernel of McCullough and Shen but the weight parameter r is changed depending on the added zeros. We also prove that the zero point process of the GAF provides a permanental-determinantal point process (PDPP) in which each correlation function is expressed by a permanent multiplied by a determinant. Dependence on r of the unfolded 2-correlation function of the PDPP is studied. If we take the limit 𝑞→0, a simpler but still non-trivial PDPP is obtained on the unit disk 𝔻. We observe that the limit PDPP indexed by 𝑟∈(0,∞) can be regarded as an interpolation between the determinantal point process (DPP) on 𝔻 studied by Peres and Virág (𝑟→0) and that DPP of Peres and Virág with a deterministic zero added at the origin (𝑟→∞).

    DOI： https://doi.org/10.1007/s00220-022-04365-2

  • Disordered complex networks: energy optimal lattices and persistent homology Reviewed International journal

    Subhroshekhar Ghosh, Naoto Miyoshi and Tomoyuki Shirai

    IEEE Transactions on Information Theory   2022.4

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    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： doi: 10.1109/TIT.2022.3163604

  • Partial Isometry, Duality, and Determinantal Point Processes Reviewed International journal

    Makoto Katori and Tomoyuki Shirai

    Random Matrices: Theory and Applications   ( 2250025 (70 pages) )   2021.10

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    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： https://dx.doi.org/10.1142/S2010326322500253

  • Limit theorems for persistence diagrams Reviewed International journal

    Yasuaki Hiraoka, Tomoyuki Shirai, Khanh Duy Trinh

    Annals of Applied Probability   28 ( 5 )   2740 - 2780   2018.10

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    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： 10.1214/17-AAP1371

  • Minimum spanning acycle and lifetime of persistent homology in the Linial–Meshulam process Reviewed International journal

    51 ( 2 )   315 - 340   2017.9

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    Language：English   Publishing type：Research paper (scientific journal)  

    This paper studies a higher dimensional generalization of Frieze's ζ(3) -limit theorem on the d-Linial–Meshulam process. First, we define spanning acycles as a higher dimensional analogue of spanning trees, and connect its minimum weight to persistent homology. Then, our main result shows that the expected weight of the minimum spanning acycle behaves in Θ (n^{d-1}).

    DOI： 10.1002/rsa.20718

  • Quasi-symmetries and rigidity for determinantal point processes associated with de Branges spaces Reviewed International journal

    Alexander Igorevich Bufetov, Tomoyuki Shirai

    Proceedings of the Japan Academy Series A: Mathematical Sciences   93 ( 1 )   1 - 5   2017.1

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    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： 10.3792/pjaa.93.1

  • The mean spectral measures of random Jacobi matrices related Gaussian beta ensembles Reviewed International journal

    Tomoyuki Shirai, Trinh Khanh Duy

    Electoric Communications of Probability   20 ( 68 )   1 - 13   2015.10

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    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： 10.1214/ECP.v20-4252

  • Absolute continuity and singularity of Palm measures of the Ginibre point process Reviewed International journal

    Tomoyuki Shirai, Hirofumi Osada

    Probability Theory and Related Fields   20 ( 68 )   725 - 770   2015.7

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    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： 10.1007/s00440-015-0644-6

  • Ginibre-type point processes and their asymptotic behavior Reviewed International journal

    Tomoyuki Shirai

    JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN   67 ( 2 )   763 - 787   2015.4

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    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： 10.2969/jmsj/06720763

  • Limit theorem for random analytic functions and their zeros Invited Reviewed

    Tomoyuki Shirai

    2012.7

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    Language：English   Publishing type：Research paper (scientific journal)  

  • Exact computation for the cover times of certain classes of trees Reviewed International journal

    Takuya Ohwa, Yusuke Higuchi and Tomoyuki Shirai

    Journal of Math-for-Industry   2 ( A )   2010.4

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    Language：English   Publishing type：Research paper (scientific journal)  

  • Random point fields associated with certain Fredholm determinants I Fermion, poisson and boson point processes Reviewed

    Tomoyuki Shirai, Yoichiro Takahashi

    Journal of Functional Analysis   205 ( 2 )   414 - 463   2003.12

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    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： 10.1016/S0022-1236(03)00171-X

  • Random point fields associated with certain Fredholm determinants II Fermion shifts and their ergodic and Gibbs properties Reviewed

    Tomoyuki Shirai, Yoichiro Takahashi

    Annals of Probability   31 ( 3 )   1533 - 1564   2003.7

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    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： 10.1214/aop/1055425789

  • Persistent homology and its application to chainlets in the Bitcoin graph Invited Reviewed International journal

    Tomoyuki Shirai

    JPS Conference Proceedings of Blockchain Kaigi 2022 (BCK2022)   40 ( 011001 )   1 - 14   2023.1

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    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： https://doi.org/10.7566/JPSCP.40.011

  • Expected number of zeros of random power series with finitely dependent Gaussian coefficients Reviewed International journal

    Kohei Noda and Tomoyuki Shirai

    Journal of Theoretical Probability   36   1534 - 1554   2022.11

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    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： https://doi.org/10.1007/s10959-022-01203-y

  • Limit theorem for persistence diagrams of random filtered complexex built over marked point processes Invited Reviewed International journal

    Tomoyuki Shirai and Kiyotaka Suzaki

    Modern Stochastics: Theory and Applications   1 - 18   2022.9

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    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： DOI 10.15559/22-VMSTA214

  • Local number variances and hyperuniformity of the Heisenberg family of determinantal point processes Reviewed International journal

    Takato Matsui, Makoto Katori and Tomoyuki Shirai

    Journal of Physics A: Mathematical and Theoretical   54 ( 165201 (22pp) )   2021.4

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    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： https://doi.org/10.1088/1751-8121/abecaa

  • Zeta functions of periodic cubical lattices and cyclotomic-like polynomials Invited Reviewed International journal

    Yasuaki Hiraoka, Hiroyuki Ochiai, and Tomoyuki Shirai

    Advanced Studies in Pure Mathematics   84   93 - 121   2020.5

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    Language：English   Publishing type：Research paper (scientific journal)  

  • Scaling limit for determinantal point processes on spheres Reviewed International journal

    Makoto Katori and Tomoyuki Shirai

    B79   123 - 138   2020.4

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    Language：English   Publishing type：Research paper (scientific journal)  

    Other Link： http://hdl.handle.net/2433/260647

  • A mixed optimal control approach for upstream fish Migration Reviewed International journal

    Hidekazu Yoshioka, Tomoyuki Shirai, Daisuke Tagami

    Journal of Sustainable Development of Energy, Water and Environment Systems   7 ( 1 )   101 - 121   2019.3

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    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： 10.13044/j.sdewes.d6.0221

  • On the zeros of the MacDonald functions Reviewed International journal

    Yuji Hamana, Hiroyuki Matsumoto, Tomoyuki Shirai

    Opuscula Mathematica   39 ( 3 )   2019.1

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    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： 10.7494/OpMath.2019.39.3.361

  • Pore Geometry Characterization by Persistent Homology Theory Reviewed International journal

    Fei Jiang, Takeshi Tsuji, Tomoyuki Shirai

    Water Resources Research   54 ( 6 )   4150 - 4163   2018.6

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    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： 10.1029/2017WR021864

  • Dynamic determinantal point processes International journal

    Takayuki Osogami, Rudy Raymond, Akshay Goel, Tomoyuki Shirai, Takanori Maehara

    Proceedings of the Thirty-Second AAAI Conference on Artificial Intelligence (AAAI-18)   3868 - 3875   2018.2

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    Language：English   Publishing type：Research paper (international conference proceedings)  

  • Tail asymptotics of signal-to-interference ratio distribution in spatial cellular network models Reviewed International journal

    Naoto Miyoshi, Tomoyuki Shirai

    Probability and Mathematical Statistics   37 ( 2 )   431 - 453   2017.1

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    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： 10.19195/0208-4147.37.2.12

  • Solvable and algebraic systems on infinite ladder Reviewed International journal

    Tomoyuki Shirai, Evgeny Verbitskiy

    Indagationes Mathematicae   27 ( 5 )   1162 - 1183   2016.12

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    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： 10.1016/j.indag.2016.02.003

  • Spatial modeling and analysis of cellular networks using the ginibre point process A tutorial Reviewed

    Naoto Miyoshi, Tomoyuki Shirai

    IEICE Transactions on Communications   E99B ( 11 )   2247 - 2255   2016.11

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    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： 10.1587/transcom.2016NEI0001

  • A cellular network model with Ginibre configured base stations Reviewed

    Naoto Miyoshi, Tomoyuki Shirai

    Advances in Applied Probability   46 ( 3 )   832 - 845   2014.9

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    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： 10.1239/aap/1409319562

  • Correlation functions for zeros of a Gaussian power series and Pfaffians Reviewed

    Sho Matsumoto, Tomoyuki Shirai

    Electronic Journal of Probability   18   2013.4

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    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： 10.1214/EJP.v18-2545

  • Remarks on positivity of α-determinants via SDP relaxation Reviewed

    5 ( A )   1 - 10   2013.4

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    Language：English   Publishing type：Research paper (scientific journal)  

  • Note on the spectrum of discrete Schrodinger operators Reviewed International journal

    Tomoyuki Shirai, Fumio Hiroshima, Itaru Sasaki, Akito Suzuki

    Journal of Math-for-Industry   2012B4   105 - 108   2012.9

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    Language：English   Publishing type：Research paper (scientific journal)  

  • A remark on monotonicity for the Glauber dynamics on finite graphs Reviewed

    Tomoyuki Shirai

    Proceedings of the Japan Academy Series A: Mathematical Sciences   86 ( 2 )   33 - 37   2010.2

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    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： 10.3792/pjaa.86.33

  • Joint distribution of the cover time and the last visited point of finite Markov chains Reviewed

    Takuya Ohwa, Tomoyuki Shirai

    Kyushu Journal of Mathematics   62 ( 1 )   281 - 292   2008.6

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    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： 10.2206/kyushujm.62.281

  • Variance of the linear statistics of the Ginibre random point field

    Hirofumi Osada, Tomoyuki Shirai

    B6   193 - 200   2008.6

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    Language：English   Publishing type：Research paper (other academic)  

  • Remarks on the positivity of α-determinants Reviewed

    61 ( 1 )   169 - 189   2007.6

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    Language：English   Publishing type：Research paper (scientific journal)  

    We give a probabilistic expression of the α-determinant by using the Wishart distribution on the cone of positive definite matrices. As a corollary, we give a partial answer to a positivity problem for the α-determinant which is equivalent to the existence problem of certain multivariate probability distributions. We also give a concrete example to support our conjecture for the positivity.

    DOI： 10.2206/kyushujm.61.169

  • Non-bipartiteness of graphs and the upper bounds of Dirichlet forms Reviewed International journal

    Yusuke Higuchi, Tomoyuki Shirai

    Potential Analysis   25 ( 3 )   259 - 268   2006.11

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    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： 10.1007/s11118-006-9027-z

  • Large deviations for the fermion point process associated with the exponential kernel Reviewed International journal

    Tomoyuki Shirai

    Journal of Statistical Physics   123 ( 3 )   615 - 629   2006.5

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    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： 10.1007/s10955-006-9026-x

  • Random point fields associted with fermion, boson and other statistics Reviewed

    Tomoyuki Shirai, Yoichiro Takahashi

    Adv. Stud. Pure Math.   2004.1

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    Language：English   Publishing type：Research paper (other academic)  

  • Some spectral and geometric properties for infinite graphs Reviewed International journal

    Tomoyuki Shirai, Yu.Higuchi

    Contemporary Mathematics 347   2004.1

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    Language：English   Publishing type：Research paper (international conference proceedings)  

  • Isoperimetric constants of (d,f)-regular planar graphs Reviewed

    Tomoyuki Shirai, Yu. Higuchi

    Interdisp. Inform. Sci.   2003.1

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    Language：English   Publishing type：Research paper (scientific journal)  

  • Long time behavior of the transition probability of a random walk with drift on an abelian covering graph Reviewed

    Tomoyuki Shirai

    Tohoku Mathematical Journal   55 ( 2 )   255 - 269   2003.1

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    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： 10.2748/tmj/1113246940

  • Glauber dynamics for fermion point processes Reviewed

    Tomoyuki Shirai, Hyun Jae Yoo

    Nagoya Mathematical Journal   168   139 - 166   2002.1

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    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： 10.1017/S0027763000008412

  • Weak Bloch property for discrete magnetic Schrodinger operators Reviewed International journal

    Yusuke Higuchi, Tomoyuki Shirai

    Nagoya Mathematical Journal   161   127 - 154   2001.1

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    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： 10.1017/S0027763000022157

  • Asymptotic behavior of the transition probability of a simple random walk on a line graph Reviewed

    Tomoyuki Shirai

    Journal of the Mathematical Society of Japan   52 ( 1 )   99 - 108   2000.1

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    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： 10.2969/jmsj/05210099

  • The spectrum of infinite regular line graphs Reviewed

    Tomoyuki Shirai

    Transactions of the American Mathematical Society   352 ( 1 )   115 - 132   2000.1

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    Language：English   Publishing type：Research paper (scientific journal)  

  • The Spectrum of Magnetic Schrödinger Operators on a Graph with Periodic Structure Reviewed

    169 ( 2 )   456 - 480   1999.12

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    Language：English   Publishing type：Research paper (scientific journal)  

    For discrete magnetic Schrödinger operators on covering graphs of a finite graph, we investigate two spectral properties: (1) the relationship between the spectrum of the operator on the covering graph and that on a finite graph, (2) the analyticity of the bottom of the spectrum with respect to magnetic flow. Also we compute the second derivative of the bottom of the spectrum and represent it in terms of geometry of a graph.

    DOI： 10.1006/jfan.1999.3478

  • A remark on the spectrum of magnetic Laplacian on a graph Reviewed

    Tomoyuki Shirai, Yusuke Higuchi

    Yokohama Mathematical Journal   1999.1

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    Language：English   Publishing type：Research paper (other academic)  

  • Asymptotic Behavior of the Transition Probability of a Random Walk on an Infinite Graph Reviewed

    Motoko Kotani, Tomoyuki Shirai, Toshikazu Sunada

    Journal of Functional Analysis   159 ( 2 )   664 - 689   1998.11

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    Language：English   Publishing type：Research paper (scientific journal)  

    DOI： 10.1006/jfan.1998.3322

  • A factorization of determinant related to some random matrices Reviewed

    Tomoyuki Shirai

    Journal of Statistical Physics   90 ( 5-6 )   1449 - 1459   1998.3

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    Language：English   Publishing type：Research paper (scientific journal)  

  • A trace formula for discrete Schrödinger operators Reviewed

    34 ( 1 )   27 - 41   1998.1

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    Language：English   Publishing type：Research paper (scientific journal)  

    We discuss two types of trace formula which arise from the inverse spectral problem for discrete Schrödinger operators as L = -Δ + V (x) where V is a bounded potential. One is the relationship between a potential and spectral data, and another is the one between the green function of L and periodic orbits of a state space.

    DOI： 10.2977/prims/1195144826

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Books

  • Finite Markov Chains and Markov Decision Processes

    （ Role： Joint author）

    Springer Verlag  2014.7 

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    Responsible for pages：5, 189--206   Language：English   Book type：Scholarly book

    Finite Markov chains and Markov Decision Processes

  • 白井朋之、香取眞理

    白井朋之（ Role： Joint author）

    朝倉書店  2023.6 

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    Language：Japanese   Book type：Scholarly book

  • 確率論ハンドブック

    白井 朋之（ Role： Joint author）

    丸善出版  2012.7 

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    Language：Japanese   Book type：General book, introductory book for general audience

    Repository Public URL： http://hdl.handle.net/2324/1001486205

Presentations

  • Zeros of random power series with stationary Gaussian coefficients Invited International conference

    Tomoyuki Shirai

    Random Matrices and Related Topics in Jeju  2024.5 

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    Event date： 2024.5

    Language：English   Presentation type：Oral presentation (general)  

    Country：Korea, Republic of  

    Other Link： http://newton.kias.re.kr/~namgyu/index.html/Jeju24/

  • Zeros of the i.i.d. Gaussian Laurent series on an annulus Invited International conference

    Tomoyuki Shirai

    The Statistical Physics of Continuum Particle Systems with Strong Interactions  2022.8 

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    Event date： 2022.8 - 2022.9

    Language：Japanese   Presentation type：Oral presentation (general)  

    Country：Japan  

  • Determinantal point processes associated with extended kernels and spanning trees on series-parallel graphs Invited International conference

    Tomoyuki Shirai

    Function theory and dynamics of point processes  2017.6 

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    Event date： 2017.6

    Language：English   Presentation type：Oral presentation (general)  

    Country：Russian Federation  

  • Persistent homology and minimum spanning acycle for certain random complexes International conference

    Workshop on "High-Dimensional Expanders 2016"  2016.6 

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    Event date： 2016.6

    Language：English   Presentation type：Oral presentation (general)  

    Country：Switzerland  

  • Probabilistic apsects of persistent homology International conference

    La Trobe-Kyushu Joint Seminar on Mathematics for Industry  2016.6 

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    Event date： 2016.6

    Language：English   Presentation type：Oral presentation (general)  

    Country：Japan  

  • Lifetime Sum of Persistent Homology and Minimum Spanning Acycles in Random Simplicial Complexes International conference

    Topological Data Analysis on Materials Science  2015.2 

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    Event date： 2015.2

    Language：English   Presentation type：Oral presentation (general)  

    Country：Japan  

  • Persistent homology of certain random simplicial complexes International conference

    13thSALSIS The 13th workshop on "Stochastic Analysis on Large Scale Interacting Systems"  2014.11 

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    Event date： 2014.11

    Language：English   Presentation type：Oral presentation (general)  

    Country：Japan  

  • Absolute continuity and singularity for the Ginibre point process and its Palm measures International conference

    UK-Japan Stochastic Analysis School  2014.9 

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    Event date： 2014.9

    Language：English   Presentation type：Oral presentation (general)  

    Country：Japan  

  • 確率論とフェルミオン構造 Invited

    白井 朋之

    研究会「物質科学の数学的手法と数理物理  2012.6 

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    Event date： 2012.6

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：理化学研究所   Country：Japan  

  • Zeros of random analytic functions Invited

    Tomoyuki Shirai

    2011.12 

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    Event date： 2011.12

    Presentation type：Oral presentation (invited, special)  

    Country：Japan  

  • Ginibre point process and its Palm measures: absolute continuity and singularity Invited International conference

    Tomoyuki Shirai

    10th Workshop on Stochastic Analysis on Large Scale Interacting Systems  2011.12 

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    Event date： 2011.12

    Presentation type：Oral presentation (general)  

    Country：Japan  

  • Determinantal point processes and the zeros of analytic functions Invited International conference

    Tomoyuki Shirai

    Functions in number theory and their probabilistic aspects  2010.12 

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    Event date： 2010.12

    Presentation type：Oral presentation (general)  

    Country：Japan  

    Random analytic functions and their zeros

  • ガウス型べき級数の実零点過程の相関関数とパフィアン

    白井 朋之

    日本数学会  2012.9 

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    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：九州大学伊都キャンパス   Country：Japan  

  • Zeros of Gaussian power series with dependent coefficients Invited International conference

    Tomoyuki Shirai

    iPOD seminar at Mathematics Institute  2024.3 

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    Event date： 2024.3

    Language：English   Presentation type：Oral presentation (general)  

    Country：Netherlands  

  • Zeros of random power series with stationary Gaussian coefficients Invited International conference

    Tomoyuki Shirai

    French Japanese Conference on Probability and Interactions  2024.3 

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    Event date： 2024.3

    Language：English   Presentation type：Oral presentation (general)  

    Country：France  

  • Zeros of random power series with stationary Gaussian coefficients Invited International conference

    Tomoyuki Shirai

    Random Interacting Systems, Scaling Limits, and Universality. Workshop in Honour of Takashi Hara  2023.12 

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    Event date： 2023.12

    Language：English   Presentation type：Oral presentation (general)  

    Country：Singapore  

  • Zeros of Gaussian power series with dependent coefficients Invited International conference

    Tomoyuki Shirai

    The 21st Symposium Stochastic Analysis on Large Scale Interacting Systems  2023.10 

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    Event date： 2023.10

    Language：English   Presentation type：Oral presentation (general)  

    Country：Japan  

  • Zeros of random power series with dependent Gaussian coefficients Invited International conference

    Tomoyuki Shirai

    Mini-Symposium with Prof. G. Schehr  2023.5 

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    Event date： 2023.8

    Language：English   Presentation type：Oral presentation (general)  

    Country：Japan  

  • Correlations between zeros of Gaussian polyanalytic functions Invited

    Tomoyuki Shirai

    2022.12 

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    Event date： 2022.12

    Language：Japanese   Presentation type：Oral presentation (general)  

    Country：Japan  

  • 行列式点過程の数理とその応用 ---ランダム行列から機械学習へ--- Invited

    白井朋之

    AIE講演会  2022.12 

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    Event date： 2022.12

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：Tohoku University, Sendai.   Country：Japan  

  • Zeros of the i.i.d. Gaussian Laurent series on an annulus Invited

    Tomoyuki Shirai

    Non-Commutative Probability and Related Topics 2022  2022.11 

    　More details

    Event date： 2022.11

    Language：Japanese   Presentation type：Oral presentation (general)  

    Country：Japan  

  • Persistent homology and its applications Invited International conference

    Tomoyuki Shirai

    Blockchain Kaigi 2022 (BCK2022)  2022.8 

    　More details

    Event date： 2022.8

    Language：English   Presentation type：Oral presentation (general)  

    Country：Japan  

  • α行列式点過程のポアソン表現 Invited

    白井朋之

    2022.6 

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    Event date： 2022.6

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：中央大学   Country：Japan  

  • Zeros of random analytic functions with dependent Gaussian coefficients Invited

    2022.6 

    　More details

    Event date： 2022.6

    Language：English   Presentation type：Oral presentation (general)  

    Country：Japan  

  • アルファ行列式の正値性と点過程 Invited

    白井朋之

    統計数理研共同研究ISMCRP2001  2022.1 

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    Event date： 2022.1

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：統計数理研究所.   Country：Japan  

  • パーシステントホモロジーとその応用 Invited

    白井朋之

    日本オペレーションズ・リサーチ学会 待ち行列研究部会 第299部会  2021.12 

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    Event date： 2021.12

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：オンライン   Country：Japan  

  • Zeros of random analytic functions with dependent Gaussian coefficients Invited

    2021.11 

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    Event date： 2021.11

    Language：Japanese   Presentation type：Oral presentation (general)  

    Country：Japan  

  • Duality of determinantal point processes

    Random matrices, Determinantal point processes and Gaussian analytic functions  2021.3 

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    Event date： 2021.3

    Language：Japanese   Presentation type：Oral presentation (general)  

    Country：Japan  

  • Persistent homology and its applications Invited International conference

    Tomoyuki Shirai

    2020 I2CNER & IMI Joint International Workshop on Applied Math for Energy  2020.6 

    　More details

    Event date： 2020.6

    Language：English   Presentation type：Oral presentation (general)  

    Country：Japan  

  • Limit theorems for persistence diagrams Invited

    Tomoyuki Shirai

    KTH seminar  2020.6 

    　More details

    Event date： 2020.6

    Language：English   Presentation type：Oral presentation (general)  

    Country：Sweden  

  • Limit theorems for determinantal point processes Invited International conference

    Tomoyuki Shirai

    Probability Conference on Random Matrices and Related Topics  2019.5 

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    Event date： 2019.5

    Language：English   Presentation type：Oral presentation (general)  

    Country：Korea, Republic of  

  • Probabilistic aspects of persistent homology

    2019.4 

    　More details

    Event date： 2019.4

    Language：Japanese  

    Country：Japan  

  • Limit theorems for determinantal point processes Invited International conference

    Tomoyuki Shirai

    International Conference on Mathematical Methods in Physics  2019.4 

    　More details

    Event date： 2019.4

    Language：English   Presentation type：Oral presentation (general)  

    Country：Morocco  

  • Limit theorems for persistence diagrams Invited

    Tomoyuki Shirai

    The 5th Institute of Mathematical Statistics, Asia Pacific Rim Meeting  2018.6 

    　More details

    Event date： 2018.6 - 2020.6

    Language：English   Presentation type：Oral presentation (general)  

    Country：Singapore  

  • Dynamic determinantal point processes

    Takayuki Osogami, Rudy Raymond, Tomoyuki Shirai, Akshay Goel, Takanori Maehara

    32nd AAAI Conference on Artificial Intelligence, AAAI 2018  2018.1 

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    Event date： 2018.2

    Language：English  

    Country：United States  

  • Limit theorems for persistence diagrams Invited International conference

    Tomoyuki Shirai

    the Japanese-German Open Conference on Stochastic Analysis (JP-GER Conference 2017)  2017.9 

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    Event date： 2017.9

    Language：English   Presentation type：Oral presentation (general)  

    Country：Germany  

  • Determinantal point processes associated with de Branges spaces Invited International conference

    Tomoyuki Shirai

    Various Aspects of Multiple Zeta Functions  2017.8 

    　More details

    Event date： 2017.8

    Language：English   Presentation type：Oral presentation (general)  

    Country：Japan  

  • A sufficient condition for tail asymptotics of SIR distribution in downlink cellular networks

    Naoto Miyoshi, Tomoyuki Shirai

    14th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks, WiOpt 2016  2016.6 

    　More details

    Event date： 2016.5

    Language：English  

    Country：United States  

  • Downlink coverage probability in a cellular network with Ginibre deployed base stations and Nakagami-m fading channels

    Naoto Miyoshi, Tomoyuki Shirai

    2015 13th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks, WiOpt 2015  2015.7 

    　More details

    Event date： 2015.5

    Language：English  

    Country：India  

  • Persistent homology for certain random simplicial complexes International conference

    International Conference on "Stochastic Processes, Analysis and Mathematical Physics  2014.8 

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    Event date： 2014.8

    Language：English   Presentation type：Oral presentation (general)  

    Country：Japan  

  • Mixing-time regularized policy gradient

    Tetsuro Morimura, Takayuki Osogami, Tomoyuki Shirai

    28th AAAI Conference on Artificial Intelligence, AAAI 2014, 26th Innovative Applications of Artificial Intelligence Conference, IAAI 2014 and the 5th Symposium on Educational Advances in Artificial Intelligence, EAAI 2014  2014 

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    Event date： 2014.7

    Language：English  

    Country：Canada  

  • Padé approximation for coverage probability in cellular networks

    2014 

    　More details

    Event date： 2014.5

    Language：English  

    Venue：Hammamet   Country：Tunisia  

    Coverage probability is one of the most important metrics for evaluating the performance of wireless networks. However, the spatial stochastic models for which a computable expression of the coverage probability is available are restricted (such as the Poisson based or α-Ginibre based models). Furthermore, even if it is available, the practical numerical computation may be time-consuming (in the case of α-Ginibre based model). In this paper, we propose the application of Padé approximation to the coverage probability in the wireless network models based on general spatial stationary point processes. The required Maclaurin coefficients are expressed in terms of the moment measures of the point process, so that the approximants are expected to be available for a broader class of point processes. Through some numerical experiments for the cellular network model, we demonstrate that the Padé approximation is effectively applicable for evaluating the coverage probability.

  • Correlation functions for zeros of a Gaussian power series and Pfaffians Invited International conference

    Tomoyuki Shirai

    Seminars on determinantal processes and related topics  2013.3 

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    Event date： 2013.3

    Language：English   Presentation type：Public lecture, seminar, tutorial, course, or other speech  

    Country：Japan  

  • On the zeros of random analytic functions Invited International conference

    Tomoyuki Shirai

    Markov processes and stochastic analysis  2013.1 

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    Event date： 2013.1

    Language：English  

    Country：Japan  

  • ガウス型べき級数の実零点過程の相関関数とパフィアン

    白井 朋之

    確率論シンポジウム  2012.12 

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    Event date： 2012.12

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：京都大数理解析研究所   Country：Japan  

  • グラフ上の行列式点過程 Invited

    白井 朋之

    離散数学セミナー2012 in 小山  2012.8 

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    Event date： 2012.8

    Language：Japanese   Presentation type：Oral presentation (general)  

    Venue：小山高専   Country：Japan  

  • A cellular network model with Ginibre configurated base stations Invited

    Tomoyuki Shirai

    2012.3 

    　More details

    Event date： 2012.3

    Presentation type：Oral presentation (general)  

    Country：Japan  

  • A functional limit theorem for random analytic functions Invited

    Tomoyuki Shirai

    2011.12 

    　More details

    Event date： 2011.12

    Presentation type：Oral presentation (general)  

    Country：Japan  

  • Central limit theorem for random analytic functions and its application Invited

    Tomoyuki Shirai

    2011.11 

    　More details

    Event date： 2011.11

    Presentation type：Oral presentation (general)  

    Country：Japan  

  • Ginibre点過程のPalm測度：絶対連続性と特異性 Invited

    研究集会「無限粒子系，確率場の諸問題VII」  2011.10 

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    Event date： 2011.10

    Presentation type：Oral presentation (general)  

    Venue：奈良女子大学   Country：Japan  

  • Positivity for α-deteminant via SDP relaxzation Invited

    2011.9 

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    Event date： 2011.9

    Presentation type：Oral presentation (general)  

    Venue：IBM Tokyo   Country：Japan  

  • マルコフ連鎖と混合時間 Invited

    2011.9 

    　More details

    Event date： 2011.9

    Presentation type：Oral presentation (general)  

    Venue：IBM Tokyo   Country：Japan  

  • Limit theorems for random analytic functions and their zeros Invited

    Tomoyuki Shirai

    2011.6 

    　More details

    Event date： 2011.6

    Presentation type：Oral presentation (general)  

    Country：Japan  

  • Random analytic functions and their zeros Invited

    Tomoyuki Shirai

    The Eve of IMI \& FM, Ito One Day Workshop  2011.3 

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    Event date： 2011.3

    Presentation type：Oral presentation (general)  

    Country：Japan  

  • Random analytic functions and their zeros Invited International conference

    Tomoyuki Shirai

    Analysis on Graphs in Sendai 2011  2011.2 

    　More details

    Event date： 2011.2

    Presentation type：Oral presentation (general)  

    Country：Japan  

  • 確率論における共形不変性 Invited

    東大数理談話会  2011.1 

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    Event date： 2011.1

    Presentation type：Oral presentation (general)  

    Venue：Komaba Campus, The University of Tokyo   Country：Japan  

  • On the zeros of certain complex Wiener integrals Invited

    Tomoyuki Shirai

    2011.1 

    　More details

    Event date： 2011.1

    Presentation type：Oral presentation (general)  

    Country：Japan  

  • On positivity for α-determinants Invited International conference

    2009.1 

    　More details

    Event date： 2009.1

    Presentation type：Oral presentation (general)  

    Country：Korea, Republic of  

  • Randomized values of Riemann's zeta function on the critical line Invited International conference

    Tomoyuki Shirai

    The 3rd Workshop on Infinite Dimensional Analysis and Quantum Probability  2009.1 

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    Event date： 2009.1

    Presentation type：Oral presentation (general)  

    Country：Korea, Republic of  

  • Determinantal processes associated with non-symmetric kernel Invited International conference

    Tomoyuki Shirai

    Stochastic Analysis on Large Scale Interacting Systems  2008.10 

    　More details

    Event date： 2008.10

    Presentation type：Oral presentation (general)  

    Country：Japan  

  • Random walk on abelian covering graphs Invited

    T.Shirai

    JAMS workshop ``Discrete Geometric Analysis''  2002.12 

    　More details

    Presentation type：Oral presentation (general)  

    Country：Japan  

  • 1) Fermion and boson measures and alpha-determinant I 2) Fermion and boson measures and alpha-determinant II Invited International conference

    Tomoyuki Shirai

    7-th Volterra-CIRM International School Quantum Probability and  2004.1 

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    Presentation type：Oral presentation (general)  

    Country：Italy  

  • 1) Large deviations for the fermion point process associated with the exponential kernel 2) Alpha-determinant and related point processes Invited International conference

    Tomoyuki Shirai

    The Bedlewo Workshop 2005, "NON-COMMUTATIVE HARMONIC ANALYSIS WITH APPLICATIONS TO PROBABILITY",  2005.8 

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    Presentation type：Oral presentation (general)  

    Country：Poland  

  • On the variance of randomized values of Riemann's zeta function on the critical line Invited International conference

    Tomoyuki Shirai

    Probability seminar at University of Wahington  2007.4 

    　More details

    Presentation type：Oral presentation (general)  

    Country：United States  

  • On the number of eigenvalues of the Ginibre matrix Invited International conference

    Tomoyuki Shirai

    Probability seminar at University of Washington  2006.11 

    　More details

    Presentation type：Oral presentation (general)  

    Country：United States  

  • Determinantal processes associated with non-symmetric kernels Invited International conference

    Tomoyuki Shirai

    Stochastic Analysis on Large Scale Interacting Systems  2007.10 

    　More details

    Presentation type：Oral presentation (general)  

    Country：Japan  

    Other Link： http://stokhos.shinshu-u.ac.jp/salsis2007/index.html

  • Variance of randomized values of Riemann's zeta function on the critical line Invited International conference

    Tomoyuki Shirai

    Number theory and probability theory  2007.10 

    　More details

    Presentation type：Oral presentation (general)  

    Country：Japan  

    Other Link： http://www2.math.kyushu-u.ac.jp/~shirai/numprob2007/index.html

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MISC

  • 巻頭言 (特集◎統計力学の視点で捉える確率論）

    白井朋之

    数理科学　サイエンス社   2023.3

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    Language：Japanese   Publishing type：Article, review, commentary, editorial, etc. (scientific journal)  

  • マルコフ連鎖と混合時間 (特集◎ランダムウォークの進む道)

    白井朋之

    数学セミナー（日本評論社）   2022.10

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    Language：Japanese   Publishing type：Article, review, commentary, editorial, etc. (scientific journal)  

  • ネットワークとランダムウォーク (特集：　ネットワークから見る世界　数理でつながりを読み解く)

    白井朋之

    数理科学   2020.2

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    Language：Japanese   Publishing type：Article, review, commentary, editorial, etc. (scientific journal)  

  • ランダム行列から点過程へ (特集◎ランダム行列)

    白井朋之

    数学セミナー（日本評論社）   2019.2

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    Language：Japanese   Publishing type：Article, review, commentary, editorial, etc. (scientific journal)  

  • 書評 T.Tao : Topics in Random Matrix Theory, Grad. Stud. Math., 132, Amer. Math. Soc., 2012年．数学第66巻第2号 2014年4月 春季号．

    白井朋之

    数学(日本数学編集)， 岩波書店．   2014.4

    　More details

    Language：Japanese   Publishing type：Book review, literature introduction, etc.  

  • スミルノフ (特集◎国際数学者会議2010)

    白井朋之

    数学セミナー（日本評論社）   2011.1

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    Language：Japanese   Publishing type：Article, review, commentary, editorial, etc. (scientific journal)  

  • SLE:Schramm-Loewner Evolution--ローラー・シュラム・ヴェルナー (特集 確率論的物理観--数学と物理の共進化)

    白井朋之

    数理科学（サイエンス社）   2008.12

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    Language：Japanese   Publishing type：Article, review, commentary, editorial, etc. (scientific journal)  

  • ヴェルナー (ICM関連企画--フィールズ賞業績紹介)

    白井朋之

    数学セミナー（日本評論社）   2007.2

    　More details

    Language：Japanese   Publishing type：Article, review, commentary, editorial, etc. (scientific journal)  

  • 書評 W. Woess: Random Walks on Infinite Graphs and Groups (Cambridge Tracts in Math., 138)

    白井朋之

    2006.10

    　More details

    Language：Japanese   Publishing type：Book review, literature introduction, etc.  

  • ランダム行列とその周辺 (特集 数学による物理の表現--その共進化と多様な可能性)

    白井朋之

    数理科学(サイエンス社）   2001.12

    　More details

    Language：Japanese   Publishing type：Article, review, commentary, editorial, etc. (scientific journal)  

  • 量子カオスの数学的側面 --準位統計、Gutzwiller跡公式、ランダム行列

    白井朋之

    数理科学(サイエンス社）   1997.9

    　More details

    Language：Japanese   Publishing type：Article, review, commentary, editorial, etc. (scientific journal)  

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Industrial property rights

Patent   Number of applications: 1   Number of registrations: 1
Utility model   Number of applications: 0   Number of registrations: 0
Design   Number of applications: 0   Number of registrations: 0
Trademark   Number of applications: 0   Number of registrations: 0

Professional Memberships

  • 日本数学会

Committee Memberships

  • Steering committee member   Domestic

    2018.4 - 2020.3   

  • Steering committee member   Domestic

    2016.4 - 2018.3   

  • Steering committee member   Domestic

    2006.4 - 2008.3   

Academic Activities

  • CREST領域アドバイザー

    Role(s)： Review, evaluation

    2024.5 - 2032.3

    　More details

    Type：Scientific advice/Review 

  • JPS Conference Proceedings of Blockchain Kaigi 2023 (BCK2023) International contribution

    2023.10 - 2024.10

    　More details

    Type：Academic society, research group, etc. 

  • Scientific Committe International contribution

    Japanese-German Open Conference on Stochastic Analysis 2019  （ Japan ） 2019.9

    　More details

    Type：Competition, symposium, etc. 

    Number of participants：100

  • 主催 International contribution

    （ 九州大学　椎木講堂 ） 2019.7 - 2019.8

    　More details

    Type：Competition, symposium, etc. 

    Number of participants：100

  • 主催 International contribution

    （ Leiden大学 ） 2019.5

    　More details

    Type：Competition, symposium, etc. 

    Number of participants：40

  • Screening of academic papers

    Role(s)： Peer review

    2019

    　More details

    Type：Peer review 

    Number of peer-reviewed articles in foreign language journals：2

  • 科研費第1段審査（書面審査）委員

    Role(s)： Review, evaluation

    日本学術振興会  2018.6 - 2019.6

    　More details

    Type：Scientific advice/Review 

  • Screening of academic papers

    Role(s)： Peer review

    2018

    　More details

    Type：Peer review 

    Number of peer-reviewed articles in foreign language journals：2

  • Journal of Mathematical Society of Japan International contribution

    2017.6 - 2023.6

    　More details

    Type：Academic society, research group, etc. 

  • 科研費第1段審査（書面審査）委員

    Role(s)： Review, evaluation

    日本学術振興会  2017.6 - 2018.6

    　More details

    Type：Scientific advice/Review 

  • Screening of academic papers

    Role(s)： Peer review

    2017

    　More details

    Type：Peer review 

    Number of peer-reviewed articles in foreign language journals：9

  • International Journal of Math-for-Industry International contribution

    2012.9 - Present

    　More details

    Type：Academic society, research group, etc. 

  • 座長

    日本数学会  （ 近畿大学 ） 2008.3

    　More details

    Type：Competition, symposium, etc. 

    Number of participants：150

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Research Projects

  • 日蘭二国間研究交流 International coauthorship

    2024.8

    日本 

    　 More details

    Authorship：Principal investigator 

    Workshop on Probabilistic Methods in Statistical Mechanics of Random Media and Random Fields

  • 行列式点過程の普遍性とランダム現象の解析

    Grant number：23H01077  2023 - 2027

    日本学術振興会  科学研究費助成事業  基盤研究(B)

    　 More details

    Authorship：Principal investigator  Grant type：Scientific research funding

  • データ記述科学創出に向けた数学的基盤構築

    2022.10 - 2027.3

    九州大学 

    　 More details

    Authorship：Principal investigator 

    データ記述科学創出に向けた数学的基盤構築

  • 日蘭二国間研究交流 International coauthorship

    2022.4 - 2023.3

    日本 

    　 More details

    Authorship：Principal investigator 

    Workshop on Probabilistic Methods in Statistical Mechanics of Random Media and Random Fields

  • データ記述科学創出に向けた数学的基盤構築

    Grant number：22H05105  2022 - 2026

    日本学術振興会・文部科学省  科学研究費助成事業  学術変革領域研究(A)

    　 More details

    Authorship：Principal investigator  Grant type：Scientific research funding

  • ランダム媒質と確率場の統計力学における確率論的方法3

    2022

    日本学術振興会  二国間交流

    　 More details

    Authorship：Principal investigator  Grant type：Joint research

  • 日蘭二国間研究交流 International coauthorship

    2021.4 - 2022.3

    日本 

    　 More details

    Authorship：Principal investigator 

    Workshop on Probabilistic Methods in Statistical Mechanics of Random Media and Random Fields

  • ランダム媒質と確率場の統計力学における確率論的方法2

    2021

    日本学術振興会  二国間交流

    　 More details

    Authorship：Principal investigator  Grant type：Joint research

  • 行列式確率場と機械学習

    Grant number：20K20884  2020 - 2022

    日本学術振興会  科学研究費助成事業  挑戦的研究（萌芽）

    　 More details

    Authorship：Principal investigator  Grant type：Scientific research funding

  • ランダム媒質と確率場の統計力学における確率論的方法

    2019

    日本学術振興会  二国間交流

    　 More details

    Authorship：Principal investigator  Grant type：Joint research

  • Disordered complex networks International coauthorship

    2018.6 - 2022.3

    Singapore Japan 

    　 More details

    Authorship：Collaborating Investigator(s) (not designated on Grant-in-Aid) 

  • 行列式点過程の視点によるランダム現象の解析とその応用

    Grant number：18H01124  2018 - 2022

    日本学術振興会  科学研究費助成事業  基盤研究(B)

    　 More details

    Authorship：Principal investigator  Grant type：Scientific research funding

  • ホモロジー論的視点からのパーコレーションの高次元化の研究

    Grant number：17K18740  2017 - 2019

    日本学術振興会  科学研究費助成事業  挑戦的研究（萌芽）

    　 More details

    Authorship：Principal investigator  Grant type：Scientific research funding

  • CREST

    2015.10 - 2021.3

    JST 

    　 More details

    Authorship：Coinvestigator(s) 

  • ソフトマター記述言語の創造に向けた位相的データ解析理論の構築

    2015 - 2021

    戦略的創造研究推進事業 (文部科学省)

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    Authorship：Coinvestigator(s)  Grant type：Contract research

  • 行列式過程とその一般化に関する研究

    Grant number：26287019  2014 - 2017

    日本学術振興会  科学研究費助成事業  基盤研究(B)

    　 More details

    Authorship：Principal investigator  Grant type：Scientific research funding

  • ランダムグラフとパーシステントホモロジー

    Grant number：26610025  2014 - 2016

    科学研究費助成事業  挑戦的萌芽研究

    　 More details

    Authorship：Principal investigator  Grant type：Scientific research funding

  • ２次元クーロンポテンシャルによって相互作用する無限粒子系の確率幾何と確率力学

    Grant number：24244010  2012 - 2016

    日本学術振興会  科学研究費助成事業  基盤研究(A)

    　 More details

    Authorship：Coinvestigator(s)  Grant type：Scientific research funding

  • 行列式構造をもつ確率過程の研究

    Grant number：22340020  2010 - 2013

    日本学術振興会  科学研究費助成事業  基盤研究(B)

    　 More details

    Authorship：Principal investigator  Grant type：Scientific research funding

  • ランダムな解析関数の零点過程の研究

    Grant number：18540130  2006 - 2009

    日本学術振興会  科学研究費助成事業  基盤研究(C)

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    Authorship：Principal investigator  Grant type：Scientific research funding

  • フェルミオン・ボソンランダム場の一般化に関する研究

    Grant number：15740055  2003 - 2005

    科学研究費助成事業  若手研究(B)

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    Authorship：Principal investigator  Grant type：Scientific research funding

  • 確率論のスペクトル論的研究

    Grant number：13740057  2000 - 2002

    科学研究費助成事業  奨励研究(A)

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    Authorship：Principal investigator  Grant type：Scientific research funding

  • 確率論とスペクトル理論の融合的研究（ランダム行列とランダムウォークへの応用）

    Grant number：11740056  1998 - 1999

    科学研究費助成事業  奨励研究(A)

    　 More details

    Authorship：Principal investigator  Grant type：Scientific research funding

▼display all

Educational Activities

  • I teach probability theory for undergraduate and graduate students,
    and applied probability and differential equations for engeering students.
    I advise three doctor course students, two master course students and also three undergraduate student at their seminar.

Class subject

  • 応用確率論

    2024.10 - 2025.3   Second semester

  • 卓越論報

    2024.4 - 2025.3   Full year

  • 微分積分（編入）

    2024.4 - 2024.9   First semester

  • 数学特論B4

    2023.12 - 2024.2   Winter quarter

  • 応用確率論

    2023.10 - 2024.3   Second semester

  • 数学特論B4

    2022.12 - 2023.2   Winter quarter

  • 応用確率論

    2022.10 - 2023.3   Second semester

  • 卓越論報

    2022.4 - 2023.3   Full year

  • MMA実務講義

    2022.4 - 2023.3   Full year

  • MMA特別実習

    2022.4 - 2023.3   Full year

  • 常微分方程式（A）

    2022.4 - 2022.9   First semester

  • 数学特論B4

    2021.12 - 2022.2   Winter quarter

  • 応用確率論

    2021.10 - 2022.3   Second semester

  • MMA特別実習

    2021.4 - 2022.3   Full year

  • MMA特別実習

    2021.4 - 2022.3   Full year

  • MMA実務講義

    2021.4 - 2022.3   Full year

  • MMA講究C

    2021.4 - 2021.9   First semester

  • 常微分方程式（A）

    2021.4 - 2021.9   First semester

  • 応用確率論

    2020.10 - 2021.3   Second semester

  • 数学特論B4

    2020.10 - 2020.12   Fall quarter

  • MMA特別実習

    2020.4 - 2021.3   Full year

  • MMA実務講義

    2020.4 - 2021.3   Full year

  • 常微分方程式(Aクラス）

    2020.4 - 2020.9   First semester

  • 数学ⅠA(Bクラス）

    2020.4 - 2020.9   First semester

  • 常微分方程式(Bクラス）

    2020.4 - 2020.9   First semester

  • MMA講究C

    2020.4 - 2020.9   First semester

  • 数学ⅠA(Aクラス）

    2020.4 - 2020.9   First semester

  • 応用確率論

    2019.10 - 2020.3   Second semester

  • 確率論大意

    2019.10 - 2020.3   Second semester

  • ＭＭＡ特別実習

    2019.4 - 2020.3   Full year

  • ＭＭＡ実務講義

    2019.4 - 2020.3   Full year

  • 常微分方程式

    2019.4 - 2019.9   First semester

  • 数学ⅠＡ

    2019.4 - 2019.9   First semester

  • 数学特論10

    2018.10 - 2019.3   Second semester

  • 応用確率論

    2018.10 - 2019.3   Second semester

  • MMA実務講義

    2018.4 - 2019.3   Full year

  • 数学演習IA

    2018.4 - 2018.9   First semester

  • 数学的モデリング

    2018.4 - 2018.9   First semester

  • 常微分方程式

    2018.4 - 2018.9   First semester

  • 応用確率論

    2017.10 - 2018.3   Second semester

  • 数理モデリング

    2017.4 - 2017.9   First semester

  • 常微分方程式

    2017.4 - 2017.9   First semester

  • 機能数理学概論Ⅰ

    2017.4 - 2017.9   First semester

  • 数学特論10

    2017.4 - 2017.9   First semester

  • 数学演習IA

    2017.4 - 2017.9   First semester

  • 機能数理学概論Ⅰ

    2016.4 - 2016.9   First semester

  • 常微分方程式

    2016.4 - 2016.9   First semester

  • 数学特論10

    2016.4 - 2016.9   First semester

  • 数学モデリング

    2016.4 - 2016.9   First semester

  • 数学特論B4

    2015.10 - 2016.3   Second semester

  • 応用確率論

    2015.10 - 2016.3   Second semester

  • 数理学講究I

    2015.4 - 2016.3   Full year

  • 数理学講究第II

    2015.4 - 2016.3   Full year

  • 機能数理学概論Ⅰ

    2015.4 - 2015.9   First semester

  • 常微分方程式

    2015.4 - 2015.9   First semester

  • 応用確率論

    2014.10 - 2015.3   Second semester

  • 数理学講究第II

    2014.4 - 2015.3   Full year

  • 数理学講究I

    2014.4 - 2015.3   Full year

  • 数学IA

    2014.4 - 2014.9   First semester

  • 基礎数学演習III

    2014.4 - 2014.9   First semester

  • 機能数理学概論Ⅰ

    2014.4 - 2014.9   First semester

  • 微分積分学・同演習B

    2013.10 - 2014.3   Second semester

  • 応用確率論

    2013.10 - 2014.3   Second semester

  • 数理学講究第II

    2013.4 - 2014.3   Full year

  • 数理学講究I

    2013.4 - 2014.3   Full year

  • 基礎数学演習III

    2013.4 - 2013.9   First semester

  • 微分積分学・同演習A

    2013.4 - 2013.9   First semester

  • 微分積分学・同演習B

    2012.10 - 2013.3   Second semester

  • 応用確率論

    2012.10 - 2013.3   Second semester

  • 数理学講究第II

    2012.4 - 2013.3   Full year

  • 数理学講究I

    2012.4 - 2013.3   Full year

  • 数学コアセミナー

    2012.4 - 2012.9   First semester

  • 微分積分学・同演習A

    2012.4 - 2012.9   First semester

  • MMA講究A

    2012.4 - 2012.9   First semester

  • 数理学講究第I

    2011.10 - 2012.3   Second semester

  • 応用確率論

    2011.10 - 2012.3   Second semester

  • 微分積分学・演習B

    2011.10 - 2012.3   Second semester

  • 数理学基礎論究

    2011.4 - 2012.3   Full year

  • 数理学講究II

    2011.4 - 2012.3   Full year

  • 数理学講究第II

    2011.4 - 2012.3   Full year

  • 微分積分学・演習A

    2011.4 - 2011.9   First semester

  • 数学コアセミナー

    2011.4 - 2011.9   First semester

  • 数理統計学

    2011.4 - 2011.9   First semester

  • 応用確率論

    2010.10 - 2011.3   Second semester

  • 微分積分学・演習B

    2010.10 - 2011.3   Second semester

  • 確率論大意

    2010.4 - 2010.9   First semester

  • 微分積分学・演習A

    2010.4 - 2010.9   First semester

  • 基礎数学演習III

    2010.4 - 2010.9   First semester

  • 数学展望

    2010.4 - 2010.9   First semester

  • 基礎数学演習III

    2009.4 - 2009.9   First semester

  • 数学IB

    2009.4 - 2009.9   First semester

  • 数学IB

    2009.4 - 2009.9   First semester

  • 確率論基礎・演習

    2009.4 - 2009.9   First semester

  • 数学特論C4

    2008.10 - 2009.3   Second semester

  • 微分積分学・演習

    2008.4 - 2009.3   Full year

  • 数学IB

    2008.4 - 2008.9   First semester

  • 数学IB

    2008.4 - 2008.9   First semester

  • 数学特論Ｃ４

    2007.10 - 2008.3   Second semester

  • 確率論基礎・演習

    2007.10 - 2008.3   Second semester

  • 解析学Ｃ・演習

    2007.10 - 2008.3   Second semester

  • 数学特論１０

    2006.4 - 2006.9   First semester

  • 数学２Ｃ

    2006.4 - 2006.9   First semester

  • 数学２Ｃ

    2006.4 - 2006.9   First semester

  • 確率論大意

    2006.4 - 2006.9   First semester

  • 確率論大意

    2005.4 - 2005.9   First semester

  • 数学特論Ｃ

    2004.10 - 2005.3   Second semester

  • 微分積分学

    2004.4 - 2005.3   Full year

  • 確率論基礎・演習

    2004.4 - 2004.9   First semester

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FD Participation

  • 2022.4   Role：Participation   Title：数理学府FD

    Organizer：[Undergraduate school/graduate school/graduate faculty]

  • 2012.5   Role：Participation   Title：入試の報告と成績調査分析

    Organizer：[Undergraduate school/graduate school/graduate faculty]

  • 2011.3   Role：Participation   Title：入試の報告と成績調査分析

    Organizer：[Undergraduate school/graduate school/graduate faculty]

Visiting, concurrent, or part-time lecturers at other universities, institutions, etc.

  • 2022  金沢大学  Classification:Intensive course  Domestic/International Classification:Japan 

    Semester, Day Time or Duration：前期

  • 2021  University of Illinois Urbana-Champaign/Department of Mathematics Illinois Geometry Lab  Classification:Faculty conurrently holding another post  Domestic/International Classification:Overseas 

    Semester, Day Time or Duration：Tuesday at 6pm~7pm Illinois time, autumn semester, 2021

  • 2020  名古屋大学  Classification:Intensive course  Domestic/International Classification:Japan 

    Semester, Day Time or Duration：前期

  • 2020  関西学院大学  Classification:Intensive course  Domestic/International Classification:Japan 

    Semester, Day Time or Duration：前期

  • 2017  東京大学・数理科学研究科  Classification:Intensive course  Domestic/International Classification:Japan 

    Semester, Day Time or Duration：前期

  • 2017  福岡大学  Classification:Intensive course  Domestic/International Classification:Japan 

    Semester, Day Time or Duration：前期

  • 2016  京都大学理学部  Classification:Intensive course  Domestic/International Classification:Japan 

    Semester, Day Time or Duration：後期

  • 2015  岡山大学理学部  Classification:Intensive course  Domestic/International Classification:Japan 

    Semester, Day Time or Duration：後期

  • 2013  金沢大学  Classification:Intensive course  Domestic/International Classification:Japan 

    Semester, Day Time or Duration：後期

  • 2012  大阪大学大学院理学研究科  Classification:Intensive course  Domestic/International Classification:Japan 

    Semester, Day Time or Duration：前期

  • 2012  京都大学数理解析研究所  Classification:Affiliate faculty  Domestic/International Classification:Japan 

    Semester, Day Time or Duration：後期

  • 2008  名古屋大学大学院多元数理科学研究科  Classification:Intensive course  Domestic/International Classification:Japan 

    Semester, Day Time or Duration：前期

  • 2007  東北大学大学院理学研究科  Classification:Intensive course  Domestic/International Classification:Japan 

  • 2004  京都大学大学院理学研究科  Classification:Intensive course  Domestic/International Classification:Japan 

  • 2003  広島大学大学院理学研究科  Classification:Intensive course  Domestic/International Classification:Japan 

  • 2003  東京工業大学大学院情報科学研究科  Classification:Intensive course  Domestic/International Classification:Japan 

  • 2002  筑波大学第一学群自然学類  Classification:Intensive course  Domestic/International Classification:Japan 

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Other educational activity and Special note

  • 2021  Special Affairs 

  • 2017  Special Affairs 

  • 2016  Special Affairs 

Outline of Social Contribution and International Cooperation activities

  • 一般誌「数学セミナー」や「数理科学」の原稿執筆を通じて，研究内容の一端を社会に伝えるとともに，広く数学の啓蒙活動を行っている． また，日本数学会において統計数学分科会の運営委員としての活動を行っている．また，国際研究集会の組織委員などをつとめて，国際連携研究活動にも力を入れている． 日蘭二国間交流の代表として，日本とオランダの確率論グループの橋渡しの役目を担っている．

Social Activities

  • 2009年度　現代数学入門

    九州大学大学院数理学研究院  九州大学箱崎キャンパス  2009.8

    　More details

    Audience： General,　Scientific,　Company,　Civic organization,　Governmental agency

    Type：Lecture

Media Coverage

  • 数学科における研究とは? TV or radio program

    RKBラジオ  2010.11

    　More details

    数学科における研究とは?

Acceptance of Foreign Researchers, etc.

  • National University of Singapore

    Acceptance period： 2024.3   （Period）：Less than 2 weeks

    Nationality：Singapore

  • Leiden University

    Acceptance period： 2015.2 - 2015.5   （Period）：1 month or more

    Nationality：Russian Federation

    Business entity：On-campus funds

Travel Abroad

  • 2024.5

    Staying countory name 1：Korea, Republic of   Staying institution name 1：Lotte Hotel in Jeju Island

  • 2024.3

    Staying countory name 1：France   Staying institution name 1：IHES

  • 2023.12

    Staying countory name 1：Singapore   Staying institution name 1：National University of Singapore

  • 2023.2 - 2023.3

    Staying countory name 1：Singapore   Staying institution name 1：National University of Singapore

  • 2022.11

    Staying countory name 1：Australia   Staying institution name 1：La Trobe University

  • 2022.8 - 2022.9

    Staying countory name 1：Singapore   Staying institution name 1：National University of Singapore

  • 2019.9

    Staying countory name 1：Sweden   Staying institution name 1：王立スウェーデン工科大学（KTH)

  • 2019.5 - 2019.6

    Staying countory name 1：Netherlands   Staying institution name 1：Leiden大学

  • 2019.5

    Staying countory name 1：Korea, Republic of   Staying institution name 1：KIAS

  • 2019.4

    Staying countory name 1：Morocco   Staying institution name 1：Magodor Kasba， Marrakech

  • 2019.3

    Staying countory name 1：Singapore   Staying institution name 1：National University of Singapore

  • 2019.3

    Staying countory name 1：Netherlands   Staying institution name 1：Leiden大学

  • 2018.11

    Staying countory name 1：China   Staying institution name 1：復旦大学

  • 2018.8

    Staying countory name 1：Netherlands   Staying institution name 1：Leiden大学

  • 2018.6

    Staying countory name 1：Singapore   Staying institution name 1：National University of Singapore

  • 2017.9

    Staying countory name 1：Germany   Staying institution name 1：TU Kaiserslautern

  • 2017.6

    Staying countory name 1：Russian Federation   Staying institution name 1：Euler International Mathematical Institute, St. Petersburg, Russia

  • 2017.3

    Staying countory name 1：Netherlands   Staying institution name 1：Leiden大学

  • 2017.2 - 2017.3

    Staying countory name 1：France   Staying institution name 1：CIRM

  • 2016.6

    Staying countory name 1：Switzerland   Staying institution name 1：Ｈｏｔｅｌ　Ｓｏｕｒｃｅ　ｉｎ　Ｌｅｓ　Ｄｉａｂｌｅｒｅｔｓ

  • 2013.3

    Staying countory name 1：Germany   Staying institution name 1：Technische Universität München

  • 2012.9

    Staying countory name 1：Singapore   Staying institution name 1：Institute for Mathematics Sciences, National University of Singapore

  • 2012.3 - 2012.4

    Staying countory name 1：United Kingdom   Staying institution name 1：University of Warwick

    Staying institution name 2：Glasgow University

  • 2011.10

    Staying countory name 1：United States   Staying institution name 1：Hawaii University

  • 2009.11

    Staying countory name 1：United States   Staying institution name 1：University of Washington

    Staying institution name 2：Microsoft Redmond

    Staying institution name 3：IBM Watson

    Staying institution name (Other)：Microsoft New England

  • 2009.1

    Staying countory name 1：Korea, Republic of   Staying institution name 1：Chunbug University

    Staying institution name 2：Hankyong Univerisity

  • 2006.10 - 2007.9

    Staying countory name 1：United States   Staying institution name 1：University of Washington

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