Tomoyuki Shirai | Last modified date：2021.06.16 |

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Homepage

##### https://kyushu-u.pure.elsevier.com/en/persons/tomoyuki-shirai

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##### http://imi.kyushu-u.ac.jp/~shirai/

Academic Degree

Ph.D (mathematical science)

Country of degree conferring institution (Overseas)

No

Field of Specialization

probability theory

Total Priod of education and research career in the foreign country

01years00months

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 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.

Research

**Research Interests**

- Persistent homology of random simplicial complexes

keyword : Persistent homology, random simplicial complexes

2013.04. - Determinantal probability

keyword : determinantal point processes

2009.09～2013.09.

**Academic Activities**

**Books**

1. | 白井 朋之, Finite Markov Chains and Markov Decision Processes, Springer Verlag, 5, 189--206, 2014.07. |

**Papers**

**Presentations**

Educational

**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.

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.

**Other Educational Activities**

- 2016.12.
- 2018.01.

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