Updated on 2024/07/28

Information

 

写真a

 
MASATO TSUJII
 
Organization
Faculty of Mathematics Division of Analysis 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)
Title
Professor
Profile
My research area is dynamical system theory(the qualitative theory of ordinary differential equations) and ergodic theory. I study transfer operators associated to chaotic dynamical systems by using methods of functional analysis such as Fourier analysis and semi-classical analysis. My main target of research now is the geodesic flows on negatively curved manifold, which is a type of chaotic hyperbolic flow, and the corresponding transfer operators and semi-calsscial zeta funtions. From April 2022, I have been working as the dean of Faculty of Mathematics, Graduate school of Mathematics and Joint Graduate school of Mathematics-for-Innovation. For education, I gave a few lectures such as calculus, linear algebra, comlex function theory, dynamical system theory, etc) and supervised a few students in their studies of mathematics.
Homepage

Degree

  • Doctoral degree of Science

Research History

  • 東京工業大学 助手 1993. 10. 1 -- 1996.7.31 北海道大学 助教授 1996.8.1 -- 2007.2.14

Research Interests・Research Keywords

  • Research theme:Exponential mixing of Anosov flows and problems in quantum chaos

    Keyword:Quantum chaos, Anosov flow, geodesic flow

    Research period: 2021.4

  • Research theme:Spectral study of transfer operators for hyperbolic dynamical systems

    Keyword:Dynamical Systems, Transfer operators

    Research period: 2016.4 - 2020.3

  • Research theme:Transfer operators for geodesic flows and the semi-classical zeta function

    Keyword:geodesic flow, transfer operators, the semi-classical zeta functions

    Research period: 2010.4 - 2015.3

  • Research theme:Functional analytic methods in dynamical systems theory

    Keyword:hypebolic dynamical systems, transfer operators, dynamical zeta functions

    Research period: 2006.4 - 2010.3

Awards

  • 日本数学会 JMSJ論文賞(2018年度)

    2019.3   日本数学会  

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    Exponential mixing for volume-preserving Anosov flows in dimension 3.

  • 日本数学会 秋季賞(2013年度)

    2013.9   日本数学会  

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    微分可能力学系のエルゴード理論における関数解析的手法

Papers

  • On bifurcation of statistical properties of partially hyperbolic endomorphisms

    Masato Tsujii, Zhiyuan Zhang

    Ergodic Theory and Dynamical Systems   44 ( 3 )   933 - 944   2024.3

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

    DOI: 10.1017/etds.2023.11

  • Smooth mixing Anosov flows in dimension three are exponentially mixing. Reviewed International journal

    Masato Tsujii, Zhiyuan Zhang

    Annals of Math.   197 ( 1 )   65 - 158   2023.1

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

  • Invariant densities for random continued fractions Reviewed International journal

    Carlene Kalle, Valentin Matache, Evgeny Verbitskiy

    Journal of Mathematical Analysis and Applications, Vol. 512, No.2, (2022)   512 ( 2 )   2022.5

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

  • Geodesic flows of negatively curved manifolds and the semi-classical zeta function Invited Reviewed International journal

    Masato Tsujii

    Sugaku   18   69 - 92   2018.10

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    Language:English  

    DOI: 10.1090/suga/429

  • The error term in the prime orbit theorem for expanding semiflows Reviewed International journal

    Masato Tsujii

    Ergodic Theory and Dynamical Systems   38 ( 5 )   1954 - 2000   2018.8

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

    DOI: 10.1017/etds.2016.113

  • Exponential mixing for generic volume-preserving Anosov flows in dimension three Reviewed International journal

    Tsujii Masato

    Journal of the Mathematical Society of Japan   70 ( 2 )   757 - 821   2018.4

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

    DOI: 10.2969/jmsj/07027595

  • The semiclassical zeta function for geodesic flows on negatively curved manifolds Reviewed

    Frederic Faure, Masato Tsujii

    INVENTIONES MATHEMATICAE   208 ( 3 )   851 - 998   2017.6

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

    DOI: 10.1007/s00222-016-0701-5

  • On the Fourier transforms of self-similar measures Reviewed International journal

    Tsujii Masato

    2015.11

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

  • Prequantum transfer operator for symplectic anosov diffeomorphism Reviewed

    Asterisque   2015-January ( 375 )   1 - 237   2015.1

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

  • Geodesic flows on negatively curved manifolds and the semi-classical zeta function Reviewed International journal

    Tsujii Masato

    2014.7

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    Language:English  

  • Band structure of the Ruelle spectrum of contact Anosov flows Reviewed International journal

    Tsujii Masato

    COMPTES RENDUS MATHEMATIQUE   351 ( 9-10 )   385 - 391   2013.5

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

    DOI: 10.1016/j.crma.2013.04.022

  • Contact Anosov flows and the Fourier–Bros–Iagolnitzer transform Reviewed International journal

    32 ( 6 )   2083 - 2118   2012.10

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

    This paper is about spectral properties of transfer operators for contact Anosov flows. The main result gives the essential spectral radii of the transfer operators acting on an appropriate function space exactly and improves the previous result in Tsujii [Quasi-compactness of transfer operators for contact Anosov flows. Nonlinearity 23 (2010), 1495–1545]. Also, we provide a simplified proof by using the so-called Fourier–Bros–Iagolnitzer (FBI) (or Bargmann) transform.

    DOI: http://dx.doi.org/10.1017/S0143385711000605

  • Quasi-compactness of transfer operators for contact Anosov flows Reviewed International journal

    Nonlinearity   2010.2

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

  • Dynamical determinants and spectrum for hyperbolic diffeomorphisms Invited Reviewed International journal

    Viviane Baladi, Masato TSUJII

    "Probabilistic and Geometric Structures in Dynamics", K. Burns, D. Dolgopyat and Ya. Pesin (eds), Contemp. Math. (Amer. Math. Soc.), Volume in honour of M. Brin's 60th birthday   2008.10

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    Language:English  

  • Decay of correlations in suspension semi-flow of angle-multiplying maps Reviewed International journal

    Ergodic Therory and Dynamical Systems (Cambridge)   2007.12

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    Language:English  

  • Invariant densities for random continued fractions

    Charlene Kalle, Valentin Matache, Masato Tsujii, Evgeny Verbitskiy

    Journal of Mathematical Analysis and Applications   512 ( 2 )   126163 - 126163   2022.8

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

    DOI: 10.1016/j.jmaa.2022.126163

  • The partial captivity condition for U(1) extensions of expanding maps on the circle Reviewed

    Yushi Nakano, Tsujii Masato, Jens Wittsten

    Nonlinearity   29 ( 7 )   1917 - 1925   2016.5

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

    DOI: 10.1088/0951-7715/29/7/1917

  • On the Fourier transforms of self-similar measures Reviewed

    Masato Tsujii

    DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL   30 ( 4 )   468 - 484   2015.10

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

    DOI: 10.1080/14689367.2015.1078291

  • Semiclassical approach for the Ruelle-Pollicott spectrum of hyperbolic dynamics

    Springer INdAM Series   65 - 135   2014.1

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    Language:English  

    DOI: 10.1007/978-3-319-04807-9_2

  • Contact Anosov flows and the Fourier-Bros-Iagolnitzer transform Reviewed

    Masato Tsujii

    ERGODIC THEORY AND DYNAMICAL SYSTEMS   32 ( 6 )   2083 - 2118   2012.12

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

    DOI: 10.1017/S0143385711000605

  • Quasi-compactness of transfer operators for contact Anosov flows Reviewed

    Masato Tsujii

    NONLINEARITY   23 ( 7 )   1495 - 1545   2010.7

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

    DOI: 10.1088/0951-7715/23/7/001

  • Decay of correlations in suspension semi-flows of angle-multiplying maps Reviewed

    Masato Tsujii

    Ergodic Theory and Dynamical Systems   28 ( 1 )   291 - 317   2008.2

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

    DOI: 10.1017/S0143385707000430

  • Anisotropic hölder and sobolev spaces for hyperbolic diffeomorphisms Reviewed

    57 ( 1 )   127 - 154   2007.1

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

    We study spectral properties of transfer operators for diffeomorphisms T : X → X on a Riemannian manifold X. Suppose that Ω is an isolated hyperbolic subset for T, with a compact isolating neighborhood V ⊂ X. We first introduce Banach spaces of distributions supported on V, which are anisotropic versions of the usual space of Cp functions Cp (V) and of the generalized Sobolev spaces Wp,t(V), respectively. We then show that the transfer operators associated to T and a smooth weight g extend boundedly to these spaces, and we give bounds on the essential spectral radii of such extensions in terms of hyperbolicity exponents.

    DOI: 10.5802/aif.2253

  • Zeta functions and dynamical systems Reviewed

    Carlangelo Liverani, Masato Tsujii

    NONLINEARITY   19 ( 10 )   2467 - 2473   2006.10

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

    DOI: 10.1088/0951-7715/19/10/011

  • Smoothness of solenoidal attractors Reviewed

    Discrete and Continuous Dynamical Systems   15 ( 1 )   21 - 35   2006.5

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

    DOI: 10.3934/dcds.2006.15.21

  • Physical measures for partially hyperbolic surface endomorphisms Reviewed

    Masato Tsujii

    Acta Mathematica   194 ( 1 )   37 - 132   2005.1

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

    DOI: 10.1007/BF02392516

  • Weakly expanding skew-products of quadratic maps Reviewed

    Ergodic Theory and Dynamical Systems   23 ( 5 )   1401 - 1414   2003.10

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

    DOI: 10.1017/S0143385702001694

  • A measure on the space of smooth mappings and dynamical system theory

    Tsujii Masato

    Journal of the Mathematical Society of Japan   44 ( 3 )   415 - 425   1992.7

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

    A measure on the space of smooth mappings and dynamical system theory

    DOI: 10.2969/jmsj/04430415

  • Rotation number and one-parameter Families of circle diffeo morphisms.

    Tsujii Masato

    Ergodic theory and Dynamical systems   12 ( 2 )   359 - 363   1992.1

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    Language:English  

    DOI: 10.1017/S0143385700006805

  • Regular points for ergodic sinai measures Reviewed

    Masato Tsujii

    Transactions of the American Mathematical Society   328 ( 2 )   747 - 766   1991.12

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

    DOI: 10.1090/S0002-9947-1991-1072103-1

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Books

  • 力学系入門(原著第2版)

    Hirsh, Smale, Devaney 辻井, 桐木, 谷川, 三波( Role: Joint translator)

    共立出版  2007.8 

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    Language:Japanese   Book type:Scholarly book

  • Prequantum transfer operator for symplectic Anosov diffeomorphism

    Frederic Faure and Masato Tsujii( Role: Joint author)

    2015.12 

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

Presentations

  • 3-dimensional Anosov flows Invited International conference

    Spring School on Transfer operator  2021.3 

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    Event date: 2021.3

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

    Country:Switzerland  

    Bernoulli center

    Other Link: https://cib.epfl.ch/events/1508

  • Large Deviations Principle for S-unimodal maps Invited International conference

    Real and Complex dynamics of Henon maps  2019.11 

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    Event date: 2019.11

    Language:English   Presentation type:Oral presentation (general)  

    Country:France  

    Other Link: http://henon-fr-jp.imj-prg.fr

  • COHOMOLOGICAL THEORY OF THE SEMI-CLASSICAL ZETA FUNCTIONS Invited International conference

    Masato Tsujii

    Dynamics, Equations and Applications 2019  2019.9 

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    Event date: 2019.9

    Language:English   Presentation type:Oral presentation (invited, special)  

    Country:Poland  

  • Transfer operators for Anosov diffeomorphisms Invited International conference

    Masato Tsujii, Vivian Baladi

    Beyond Uniform Hyperbolicity 2019  2019.7 

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    Event date: 2019.7

    Language:English   Presentation type:Oral presentation (general)  

    Country:France  

  • Exponential mixing for volume-preserving Anosov flows Invited International conference

    Real and Complex dynamics of Henon maps  2019.3 

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    Event date: 2019.3

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  • On cohomological theory of dynamical zeta functions Invited International conference

    Dynamical Systems and Related Topics  2018.8 

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    Event date: 2018.8

    Language:English   Presentation type:Oral presentation (invited, special)  

    Country:Brazil  

  • Gutzwiller-Voros zeta functions for geodesic flows on negatively curved manifolds Invited International conference

    The third international conference on the dynamics of differential equations  2017.12 

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    Event date: 2017.12 - 2016.12

    Language:English   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  • On cohomological theory of dynamical zeta functions Invited International conference

    Spectral geometry, graphs and semiclassical analysis  2017.12 

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    Event date: 2017.12 - 2016.12

    Language:English   Presentation type:Oral presentation (general)  

    Country:France  

  • Exponential decay of correlations for Anosov flows Invited International conference

    Analytical aspects of hyperbolic flows  2017.7 

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    Event date: 2017.7 - 2016.7

    Language:English   Presentation type:Oral presentation (general)  

    Country:France  

  • The spectrum of semi-classical transfer operator for expanding-semi flows Invited International conference

    2017.1 

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    Event date: 2017.1 - 2016.1

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  • Exponential mixing for generic volume-preserving Anosov flows in dimension three Invited International conference

    Analytical Methods in Classical and Quantum Dynamical Systems  2016.7 

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    Event date: 2016.6 - 2016.7

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  • Exponential mixing for generic volume-preserving Anosov flows in dimension three Invited International conference

    Mixing flows and averaging method  2016.4 

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    Event date: 2016.4 - 2016.5

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

    Other Link: http://www.esi.ac.at/activities/events/2016/mixing-flows-and-averaging-methods

  • The spectrum of semi-classical transfer operator for expanding semi-flows with holes International conference

    Fractal Geometry, Hyperbolic Dynamics and Thermodynamical Formalism  2016.3 

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    Event date: 2016.3

    Language:English  

    Country:Japan  

    Other Link: https://icerm.brown.edu/programs/sp-s16/w2/

  • The error term of The prime Orbit Theorem for expanding semi-flows Invited International conference

    Tsujii Masato

    School and Conference on Dynamical Systems  2015.8 

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    Event date: 2015.7 - 2015.8

    Language:English   Presentation type:Oral presentation (general)  

    Country:Italy  

    Other Link: http://indico.ictp.it/event/a14293/

  • Resonances for geodesic flows on negatively curved manifolds Invited International conference

    Tsujii Masato

    2014.8 

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    Event date: 2014.8

    Language:English   Presentation type:Oral presentation (general)  

    Country:Korea, Republic of  

  • Spectrum of transfer operators for expanding semi-flows. International conference

    Tsujii Masato

    2014.8 

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    Event date: 2014.8

    Language:English   Presentation type:Oral presentation (general)  

    Country:Korea, Republic of  

  • Geodesic flows on negatively curved manifolds and the semi-classical zeta function Invited International conference

    Measurable and Topological Dynamical Systems, Keio 2013  2013.12 

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    Event date: 2013.12

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

    Other Link: http://www.math.keio.ac.jp/~nakada/dynamical_systems_2013-dec/program.pdf

  • Spectrum of geodesic flow on negatively curved manifold Invited International conference

    Tsujii Masato

    Hyperbolicity and Dimension  2013.12 

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    Event date: 2013.12

    Language:English   Presentation type:Oral presentation (general)  

    Country:France  

    Other Link: http://hasselblatttroubetzkoy.weebly.com/information1.html

  • The semi-classical zeta function Invited International conference

    Tsujii Masato

    ICTP-ESF School and Conference in Dynamical Systems  2012.6 

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    Event date: 2012.6

    Language:English   Presentation type:Oral presentation (general)  

    Country:Italy  

  • Semiclassical zeta functions for negatively curved manifolds Invited International conference

    Masato TSUJII

    Kyoto Dynamics Days 10  2011.3 

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    Event date: 2011.3

    Language:Others   Presentation type:Oral presentation (general)  

    Country:Japan  

  • 負曲率多様体上の測地流と半古典ゼータ関数 Invited

    2011.3 

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    Event date: 2011.3

    Language:Others   Presentation type:Oral presentation (general)  

    Venue:京都大学   Country:Japan  

  • 負曲率多様体上の測地流 Invited

    談話会  2011.1 

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    Event date: 2011.1

    Language:Others   Presentation type:Oral presentation (general)  

    Venue:東京工業大学   Country:Japan  

  • Functional analytic method in smooth ergodic theory Invited International conference

    Masato TSUJII

    Dynamics and PDE  2010.1 

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    Event date: 2011.1 - 2011.7

    Language:Others   Presentation type:Oral presentation (general)  

    Country:Sweden  

  • 接触アノソフ流と FBI 変換

    力学系冬の研究集会  2011.1 

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    Event date: 2011.1

    Language:Others   Presentation type:Oral presentation (general)  

    Venue:東京工業大学   Country:Japan  

  • Contact Anosov Flows and the FBI transform Invited International conference

    Masato TSUJII

    Hyperbolic Dynamics in the Sciences  2010.6 

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    Event date: 2010.5 - 2010.6

    Language:Others   Presentation type:Oral presentation (general)  

    Country:Italy  

  • On the semi-classical zeta functions for negatively curved manifolds Invited International conference

    Masato TSUJII

    Mini-Workshop: Spectrum of Transfer Operators: Recent Developments and Applications  2009.11 

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    Event date: 2009.11

    Language:Others   Presentation type:Oral presentation (general)  

    Country:Germany  

  • Quasi-compactness of transfer operators for contact Anosov flow Invited International conference

    Masato TSUJII

    WORKSHOP on HYPERBOLIC DYNAMICAL SYSTEMS WITH SINGULARITIES  2009.6 

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    Event date: 2009.6

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

    Country:Austria  

  • Ruelle resonances in contact Anosov flows Invited International conference

    Masato TSUJII

    NCTS 2008 Workshop on Dynamical systems  2008.5 

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    Event date: 2008.5

    Language:Others   Presentation type:Oral presentation (general)  

    Country:Taiwan, Province of China  

  • Quasi-compactness of transfer operators for contact Anosov flows Invited International conference

    Masato TSUJII

    Workshop GREFI-MEFI "From dynamical systems to statistical mechanics  2008.2 

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    Event date: 2008.2 - 2008.3

    Language:Others   Presentation type:Oral presentation (general)  

    Country:France  

  • 双曲的な流れにおける相関の減衰と力学系のゼータ関数 Invited

    辻井 正人

    力学系と微分方程式  2007.11 

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    Language:Others   Presentation type:Oral presentation (general)  

    Venue:広島大学理学部   Country:Japan  

  • 力学系のゼータ関数と転移作用素のスペクトル Invited

    辻井 正人

    2007.5 

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

    Venue:中央大学   Country:Japan  

  • Virtually expanding dynamics Invited International conference

    Msasato Tsujii

    International workshop on Ergodic theory, Dynamical systems and Climate sciences  2023.3 

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    Event date: 2023.3

    Language:English   Presentation type:Oral presentation (general)  

    Country:Japan  

  • 力学系のゼータ関数の極の分布について

    辻井 正人

    力学系セミナー  2007.10 

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    Language:Others   Presentation type:Oral presentation (general)  

    Venue:九州大学理学部   Country:Japan  

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MISC

  • Absolutely continuous invariant measures for piecewise real-analytic expanding maps on the plane

    M Tsujii

    COMMUNICATIONS IN MATHEMATICAL PHYSICS   2000.1

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    Language:English  

  • On continuity of Bowen-Ruelle-Sinai measures in families of one dimensional maps

    M Tsujii

    COMMUNICATIONS IN MATHEMATICAL PHYSICS   1996.3

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    Language:English  

    DOI: 10.1007/BF02102427

  • POSITIVE LYAPUNOV EXPONENTS IN FAMILIES OF ONE-DIMENSIONAL DYNAMIC-SYSTEMS

    M TSUJII

    INVENTIONES MATHEMATICAE   1993.1

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    Language:English  

Professional Memberships

  • Japan Mathematical Society

Committee Memberships

  • 日本数学会   出版委員長   Domestic

    2020.4 - 2022.3   

  • Councilor   Domestic

    2008.4 - 2009.3   

  • 評議員   九州支部評議員   Domestic

    2008.4 - 2009.3   

Academic Activities

  • Screening of academic papers

    Role(s): Peer review

    2023

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    Type:Peer review 

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

    Number of peer-reviewed articles in Japanese journals:0

  • Screening of academic papers

    Role(s): Peer review

    2019

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    Type:Peer review 

    Number of peer-reviewed articles in foreign language journals:3

    Number of peer-reviewed articles in Japanese journals:0

    Proceedings of International Conference Number of peer-reviewed papers:0

    Proceedings of domestic conference Number of peer-reviewed papers:0

  • Screening of academic papers

    Role(s): Peer review

    2018

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    Type:Peer review 

    Number of peer-reviewed articles in foreign language journals:5

    Number of peer-reviewed articles in Japanese journals:0

    Proceedings of International Conference Number of peer-reviewed papers:0

    Proceedings of domestic conference Number of peer-reviewed papers:0

  • Screening of academic papers

    Role(s): Peer review

    2017

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    Type:Peer review 

    Number of peer-reviewed articles in foreign language journals:3

    Number of peer-reviewed articles in Japanese journals:1

    Proceedings of International Conference Number of peer-reviewed papers:0

    Proceedings of domestic conference Number of peer-reviewed papers:0

  • Screening of academic papers

    Role(s): Peer review

    2016

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    Type:Peer review 

    Number of peer-reviewed articles in foreign language journals:4

    Number of peer-reviewed articles in Japanese journals:0

    Proceedings of International Conference Number of peer-reviewed papers:0

    Proceedings of domestic conference Number of peer-reviewed papers:0

  • Kyushu Journal of mathematics International contribution

    2013.4 - 2014.3

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    Type:Academic society, research group, etc. 

  • その他 International contribution

    ( 九州大学理学部3号館3304号室 Japan ) 2008.6

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    Type:Competition, symposium, etc. 

    Number of participants:10

  • その他 International contribution

    ( 九州大学理学部大会議室 Japan ) 2008.5

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    Type:Competition, symposium, etc. 

    Number of participants:50

  • Dynamical systems, an international journal International contribution

    2004.4 - Present

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    Type:Academic society, research group, etc. 

  • Ergodic Theory and Dynamical systems International contribution

    2004.4 - Present

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    Type:Academic society, research group, etc. 

  • Nonlinearity International contribution

    2004.4 - 2018.3

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Other

  • 典型的なカオス的は流れ(連続力学系)であるアノソフ流における指数的混合性が生成的な条件の下で成立するかとうかは1970年代のアノソフやシナイの研究依頼の懸案であったが,その問題に対し3次元の場合に肯定的な解決を与えた. 結果と証明は論文 "Exponential mixing for generic volume-preserving Anosov flows in dimension three" (プレプリント, arXiv:1601.00063)で発表した.

    2016.6

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    Let M be a closed 3-dimensional Riemann manifold and let 3≤r≤∞. We prove that there exists an open dense subset in the space of Cr volume-preserving Anosov flows on M such that all the flows in it are exponentially mixing.

Research Projects

  • アノソフ流の指数混合性と量子カオスの諸問題

    Grant number:21H00994  2021 - 2025

    日本学術振興会  科学研究費助成事業  基盤研究(B)

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    Authorship:Principal investigator  Grant type:Scientific research funding

  • 双曲力学系における転送作用素のスペクトルの研究

    Grant number:15H03627  2015 - 2019

    日本学術振興会  科学研究費助成事業  基盤研究(B)

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    Authorship:Principal investigator  Grant type:Scientific research funding

  • 測地流の転移作用素と半古典ゼータ関数の研究

    2010 - 2015

    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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    Grant type:Scientific research funding

  • 測地流の転移作用素と半古典ゼータ関数の研究

    Grant number:22340035  2010 - 2014

    日本学術振興会  科学研究費助成事業  基盤研究(B)

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    Authorship:Principal investigator  Grant type:Scientific research funding

  • 力学系理論における関数解析的方法の研究

    Grant number:18340044  2006 - 2009

    日本学術振興会  科学研究費助成事業  基盤研究(B)

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    Authorship:Principal investigator  Grant type:Scientific research funding

Educational Activities

  • As I have been the dean of Faculty of Mathematics, I am not in charges of lectures. I am supervising 3 master and 2 doctoral course students.

Award for Educational Activities

  • なし

       

Class subject

  • 数学特論13

    2024.10 - 2025.3   Second semester

  • 力学系大意

    2024.10 - 2025.3   Second semester

  • 入門線形代数Ⅱ

    2024.6 - 2024.8   Summer quarter

  • 数学概論Ⅰ・演習

    2024.4 - 2024.9   First semester

  • 入門線形代数Ⅰ

    2024.4 - 2024.6   Spring quarter

  • 卓越基礎講究

    2023.4 - 2024.3   Full year

  • 卓越基礎講究

    2022.4 - 2023.3   Full year

  • MMA講究D

    2021.10 - 2022.3   Second semester

  • 幾何学Ⅰ・演習

    2021.4 - 2021.9   First semester

  • 幾何学1・同演習

    2021.4 - 2021.9   First semester

  • 解析(編入生向け講義)

    2021.4 - 2021.9   First semester

  • 情報解析学演習

    2020.10 - 2021.3   Second semester

  • 情報解析学

    2020.10 - 2021.3   Second semester

  • 幾何学Ⅰ・演習

    2020.4 - 2020.9   First semester

  • 幾何学1・同演習

    2020.4 - 2020.9   First semester

  • 解析(編入生向け講義)

    2020.4 - 2020.9   First semester

  • 数学特論13

    2019.10 - 2020.3   Second semester

  • 力学系大意

    2019.10 - 2020.3   Second semester

  • Dynamical Systems

    2019.10 - 2020.3   Second semester

  • 力学系大意

    2019.10 - 2020.3   Second semester

  • 数学概論VI

    2019.10 - 2020.3   Second semester

  • 数学概論Ⅳ・演習

    2019.10 - 2020.3   Second semester

  • 情報解析学演習

    2019.10 - 2020.3   Second semester

  • 情報解析学

    2019.10 - 2020.3   Second semester

  • 数理科学特論7

    2019.4 - 2019.9   First semester

  • 数理科学特別講義Ⅶ

    2019.4 - 2019.9   First semester

  • 解析(編入生向け講義)

    2019.4 - 2019.9   First semester

  • 力学系大意

    2018.10 - 2019.3   Second semester

  • 数学概論VI

    2018.10 - 2019.3   Second semester

  • 力学系大意

    2018.10 - 2019.3   Second semester

  • 情報解析学演習

    2018.10 - 2019.3   Second semester

  • 情報解析学

    2018.10 - 2019.3   Second semester

  • 数学概論Ⅳ・演習

    2018.10 - 2019.3   Second semester

  • 数学特論13

    2018.10 - 2019.3   Second semester

  • 線形代数学B

    2017.10 - 2018.3   Second semester

  • 線形代数学B

    2017.10 - 2018.3   Second semester

  • 数学基礎2

    2017.10 - 2018.3   Second semester

  • 線形代数学・同演習B

    2017.10 - 2018.3   Second semester

  • 線形代数学・同演習B

    2017.10 - 2018.3   Second semester

  • 数学基礎Ⅱ

    2017.10 - 2018.3   Second semester

  • 線形代数学A

    2017.4 - 2017.9   First semester

  • 線形代数学A

    2017.4 - 2017.9   First semester

  • 線形代数学・同演習A

    2017.4 - 2017.9   First semester

  • 線形代数学・同演習A

    2017.4 - 2017.9   First semester

  • 数学基礎2

    2016.10 - 2017.3   Second semester

  • 微分積分学

    2016.10 - 2017.3   Second semester

  • 微分積分学・同演習II

    2015.10 - 2016.3   Second semester

  • 数理学講究第2

    2015.4 - 2016.3   Full year

  • 線形代数学

    2015.4 - 2015.9   First semester

  • 微分積分学・同演習I

    2015.4 - 2015.9   First semester

  • 数学概論1

    2015.4 - 2015.9   First semester

  • 数理学講究第1

    2014.10 - 2015.3   Second semester

  • 数理学講究第2

    2014.4 - 2015.3   Full year

  • 位相(基礎数学3)

    2014.4 - 2014.9   First semester

  • 数理学講究第1

    2013.10 - 2014.3   Second semester

  • 数学特論13

    2013.10 - 2014.3   Second semester

  • 数学II

    2013.10 - 2014.3   Second semester

  • 力学系大意

    2013.10 - 2014.3   Second semester

  • 数学概論1

    2013.10 - 2014.3   Second semester

  • 数学2B

    2013.4 - 2013.9   First semester

  • 数学2B

    2013.4 - 2013.9   First semester

  • 微分積分学・同演習B

    2012.10 - 2013.3   Second semester

  • 微分積分学・同演習B

    2012.10 - 2013.3   Second semester

  • 線形代数学

    2012.4 - 2012.9   First semester

  • 微分積分学

    2012.4 - 2012.9   First semester

  • 数学2B

    2012.4 - 2012.9   First semester

  • 数学2B

    2012.4 - 2012.9   First semester

  • 微分積分学・同演習A

    2012.4 - 2012.9   First semester

  • 線形代数学・同演習B

    2011.10 - 2012.3   Second semester

  • 微分積分学・同演習B

    2011.10 - 2012.3   Second semester

  • 線形代数学・同演習A

    2011.4 - 2011.9   First semester

  • 微分積分学・同演習A

    2011.4 - 2011.9   First semester

  • 数学2B

    2011.4 - 2011.9   First semester

  • 数学2B

    2011.4 - 2011.9   First semester

  • 微分積分学・同演習A

    2010.10 - 2011.3   Second semester

  • 微分積分学・同演習A

    2010.10 - 2011.3   Second semester

  • 微分積分学・同演習A

    2010.10 - 2011.3   Second semester

  • 微分積分学・同演習A

    2010.4 - 2010.9   First semester

  • 数学2B

    2010.4 - 2010.9   First semester

  • 数学2B

    2010.4 - 2010.9   First semester

  • 微分積分学・同演習A

    2010.4 - 2010.9   First semester

  • 微分積分学・同演習A

    2010.4 - 2010.9   First semester

  • 微分積分学

    2009.4 - 2009.9   First semester

  • 線形代数・同演習A

    2009.4 - 2009.9   First semester

  • 数学2B

    2009.4 - 2009.9   First semester

  • 数学2B

    2009.4 - 2009.9   First semester

  • 解析学B1・同演習

    2009.4 - 2009.9   First semester

  • 情報解析学・同演習

    2008.10 - 2009.3   Second semester

  • 解析学A1・同演習

    2008.10 - 2009.3   Second semester

  • 力学系大意

    2008.10 - 2009.3   Second semester

  • 数学特論13(力学系)

    2008.10 - 2009.3   Second semester

  • 数学2B

    2008.4 - 2008.9   First semester

  • 数学2B

    2008.4 - 2008.9   First semester

  • 力学系大意

    2007.10 - 2008.3   Second semester

  • 数学特論13

    2007.10 - 2008.3   Second semester

  • 微分積分続論

    2007.4 - 2007.9   First semester

  • 線形代数・同演習A

    2007.4 - 2007.9   First semester

  • 線形代数・同演習A

    2007.4 - 2007.9   First semester

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FD Participation

  • 2023.8   Role:Planning   Title:数理学府教員会議

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

  • 2022.7   Role:Participation   Title:数理学府教員会議

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

  • 2022.4   Role:Participation   Title:数理学府FD

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

  • 2021.9   Role:Participation   Title:JST 次世代研究者挑戦的研究プログラム 説明会

    Organizer:University-wide

  • 2021.7   Role:Participation   Title:数理学府FD

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

  • 2021.3   Role:Speech   Title:数理学府FD

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

  • 2021.3   Role:Speech   Title:数理学府FD

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

  • 2021.2   Role:Speech   Title:数理学府教員会議

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

  • 2020.3   Role:Moderator   Title:教員会議 on Zoom

    Organizer:Undergraduate school department

  • 2019.12   Role:Participation   Title:教員会議

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

  • 2019.4   Role:Participation   Title:教員会議

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

  • 2018.4   Role:Speech   Title:教員会議

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

  • 2018.3   Role:Participation   Title:教員会議

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

  • 2015.12   Role:Participation   Title:教員会議

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

  • 2015.7   Role:Participation   Title:教員会議

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

  • 2014.12   Role:Moderator   Title:(数理学府)教員会議

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

  • 2014.7   Role:Moderator   Title:(数理学府)教員会議

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

  • 2014.7   Role:Participation   Title:(数理学府)教員会議

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

  • 2012.5   Role:Participation   Title:数理学府教員会議

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

  • 2011.5   Role:Participation   Title:数理学府教員会議

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

  • 2010.3   Role:Participation   Title:シンポジウム:数学力低下にどう対処するか ー高等学校・大学・教員採用の現場からー

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

  • 2008.3   Role:Participation   Title:数理学府教員会議

    Organizer:University-wide

  • 2007.4   Role:Participation   Title:第1回全学FD

    Organizer:University-wide

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

  • 2015  筑波大学理工学群数学  Classification:Intensive course  Domestic/International Classification:Japan 

    Semester, Day Time or Duration:後期

  • 2014  北海道大学理学部  Classification:Intensive course  Domestic/International Classification:Japan 

    Semester, Day Time or Duration:前期

  • 2014  大阪大学理学部  Classification:Intensive course  Domestic/International Classification:Japan 

    Semester, Day Time or Duration:前期

Participation in international educational events, etc.

  • 2021.3

    Bernouilli center

    “3-dimensional Anosov flows”, 2021年3月26日〜30日 Spring School on Transfer operators (Classical and Modern Techniques), CIB, Lausanne, Switzerland

      More details

    Venue:Lausanne, Swiss

    Number of participants:200

  • 2019.12

    CIRM

    Thermodynamic Formalism: Applications to Probability, Geometry and Fractals

      More details

    Venue:France, Marseille

    Number of participants:60

  • 2018.5

    ICTP (International center of theoretical physics)

    TMU-ICTP school and conference on dynamical systems and ergodic theory I

      More details

    Venue:Iran, Tehran

    Number of participants:100

Other educational activity and Special note

  • 2013  Class Teacher 

  • 2012  Class Teacher 

  • 2010  Class Teacher 

Outline of Social Contribution and International Cooperation activities

  • I attended as a lecturer to TMU-ICTP School and Conference on Dynamical Systems and Ergodic Theory at Tarbiat Modares University.

Social Activities

  • 高大接続,特に,新しい入試制度に関する研究の一環として,高校生向けに数学の講義をおこなった.また,高校生の研究発表について補助と発表の評価について関わった.

    東筑高校  2017.6

     More details

    Audience: Infants, Schoolchildren, Junior students, High school students

    Type:Seminar, workshop

  • 過去3年間に引き続きエクセレント・スチューデント・イン・サイエンス事業の数学担当をした.

    九州大学理学部  数理学研究教育棟,九州大学理学部大会議室他  2013.4

     More details

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

    Type:Seminar, workshop

    エクセレント・スチューデント・イン・サイエンス事業は科学技術振興機構と九州大学が行っている意欲・能力ある高校生を次世代の科学者に育てるための取り組みである.この講座において数学部門の担当をして,半年間におよび月二回のセミナーを行った.

  • 理学部の社会貢献委員として出張講義の手配を行った.また,自身でいくつかの高校の出張講義に出向いた.

    福岡県立八女高校,佐賀県立武雄高校 他  2012.9

     More details

    Audience: Infants, Schoolchildren, Junior students, High school students

    Type:Seminar, workshop

  • 過去2年間に引き続きエクセレント・スチューデント・イン・サイエンス事業の数学担当をした.

    九州大学理学部  数理学研究教育棟,九州大学理学部大会議室他  2012.4

     More details

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

    Type:Seminar, workshop

    エクセレント・スチューデント・イン・サイエンス事業は科学技術振興機構と九州大学が行っている意欲・能力ある高校生を次世代の科学者に育てるための取り組みである.この講座において数学部門の担当をして,半年間におよび月二回のセミナーを行った.

  • 現代数学入門「微分方程式で見る世界」 微分方程式を使って現象を記述することについて入門的な講義をした.

    九州大学大学院数理学研究院 ・ 福岡県教育委員会  九州大学理学部大会議室  2007.8

     More details

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

    Type:Lecture

Activities contributing to policy formation, academic promotion, etc.

  • 2018.5   ICTP(International center for theoretical physics)

    UNESCOの機関である国際理論物理学研究所(トリエステ,イタリア)は発展途上国における数学の国際的な研究集会とそれに伴う大学院生の教育のプログラムを推進している.当該の研究集会は本年はテヘラン(イラン)で行われ,知人の関係者から講演を依頼されたので参加した.

Acceptance of Foreign Researchers, etc.

  • IAS, Princeton, USA

    Acceptance period: 2019.5   (Period):Less than 2 weeks

    Nationality:China

    Business entity:Japan Society for the Promotion of Science

  • Armenian Academy of Science

    Acceptance period: 2018.9 - 2018.12   (Period):1 month or more

    Nationality:Armenia

    Business entity:Japan Society for the Promotion of Science

  • PUC Rio

    Acceptance period: 2008.10   (Period):Less than 2 weeks

    Nationality:Spain

    Business entity:Japan Society for the Promotion of Science

  • Rice University

    Acceptance period: 2008.6   (Period):Less than 2 weeks

    Nationality:Russian Federation

    Business entity:Other

  • Univ. Renne

    Acceptance period: 2008.5   (Period):Less than 2 weeks

    Nationality:Russian Federation

    Business entity:Science and Technology Agency

Travel Abroad

  • 2014.8

    Staying countory name 1:Korea, Republic of   Staying institution name 1:Chungnam 大学(韓国 大田)

    Staying institution name 2:Coex

  • 2010.5

    Staying countory name 1:Italy   Staying institution name 1:Corinaldo

  • 2010.1 - 2010.2

    Staying countory name 1:Sweden   Staying institution name 1:Mittag Leffeler Institute

  • 2009.12

    Staying countory name 1:Sweden   Staying institution name 1:KTH

  • 2009.9 - 2009.11

    Staying countory name 1:France   Staying institution name 1:Fourier Institute

    Staying countory name 2:Italy   Staying institution name 2:Rome university 3

    Staying countory name 3:Germany   Staying institution name 3:Ecole Normal

    Staying institution name (Other):MFO

  • 2009.3 - 2009.4

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

  • 2008.5

    Staying countory name 1:Taiwan, Province of China   Staying institution name 1:NCTS(国家理論科学中心),

  • 2008.2

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

  • 2007.6

    Staying countory name 1:China   Staying institution name 1:中国科学院

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