|Tomoyuki Shirai||Last modified date：2014.5.14|
Ph.D (mathematical science)
Field of Specialization
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.
- Determinantal probability
keyword : determinantal point processes
|1.||Random analytic functions and their zeros.|