Tomoyuki Shirai | Last modified date：2014.5.14 |

Graduate School

Undergraduate School

E-Mail

Homepage

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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.

**Academic Activities**

**Papers**

Educational

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