| Tomoyuki Shirai | Last modified date：2012.5.30 |
Graduate School
Undergraduate School
E-Mail
Homepage
http://imi.kyushu-u.ac.jp/~shirai/.
Academic Degree
Ph.D (mathematical science)
Field of Specialization
probability theory
Outline Activities
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 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.
Research
Research Interests
- Determinantal probability
keyword : determinantal point processes
2009.09～2013.09.
Papers
| 1. | Tomoyuki Shirai,Limit theorem for random analytic functions and their zeros,RIMS Kôkyûroku Bessatsu,to appear,2012.07. |
| 2. | Takuya Ohwa, Yusuke Higuchi and Tomoyuki Shirai,Exact computation for the cover times of certain classes of trees,Journal of Math-for-Industry,Vol.2,No.A,pp.93-98,2010.04. |
| 3. | Tomoyuki Shirai ,A remark on monotonicity for the Glauber dynamics on finite graphs,Proceedings of Japan Academy,Vol.86,pp.33-37,2010.01. |
| 4. | Takuya Ohwa and Tomoyuki Shirai,Joint distribution of the cover time and the last visited point of finite Markov chains,Kyushu Journal of Mathematics,62, 281--292,2008.05. |
| 5. | Tomoyuki Shirai, Yoichiro Takahashi,Random point fields associted with certain Fredholm determinants (I): fermion, Poisson and boson point processes,Journal of Functional Analysis,Vol. 205, 414--463,2003.01. |
| 6. | Tomoyuki Shirai, Yoichiro Takahashi,Random point fields associted with certain Fredholm determinants (II): fermion shifts and their ergodic properties,Annals of probability,Vol.31, 1533--1564,2003.01. |
| 7. | Tomoyuki Shirai, Motoko Kotani, Toshikazu Sunada,Asymptotic behavior of the transition probability of a random walk on an infinite graph,Journal of Functional Analysis,Vol.159, 664-689,1998.01. |
Educational
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