Top > Staff Introduction > SHIRAI, Tomoyuki

Staff Introduction

SHIRAI, Tomoyuki / Professor

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. 

Keywords Probability Theory, Determinantal Point Processes
Faculty , Department Institute of Mathematics for Industry , Fundamental Mathematics ,Laboratory of Advanced Software in Mathematics (concurrent)