List of faculty

SHIRAI, Tomoyuki( SHIRAI, Tomoyuki ) / Professor

Faculty , Department

Institute of Mathematics for Industry : Fundamental Mathematics ,Laboratory of Advanced Software in Mathematics (concurrent)


Probability Theory, Determinantal Point Processes

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.