KHANH DUY TRINH | Last modified date：2016.08.25 |

E-Mail

Fax

092-802-4405

Academic Degree

Ph.D.

Field of Specialization

Mathematics

Outline Activities

I specialize in probability theory and its applications. Recently, I have been interested in random matrix theory which aims to study distributions of eigenvalues and eigenvectors of random matrices. In particular, I am working on Gaussian beta ensembles, generalizations of the well-known Gaussian orthogonal/unitary ensembles. The research concerns with problems such as limiting behavior of spectral measures and empirical measures; distributions of determinants and local statistics. Moreover, since Gaussian beta ensembles are realized as eigenvalues of typical random Jacobi matrices which are also discrete Schrodinger operators, the research aims to exploit the close relation between two fields.

Research

**Research Interests**

- A study on random matrix theory and its applications

keyword : random matrix, Wigner matrix, spectral measure, random Jacobi matrix

2014.04～2018.03. - Probability theory and its applications in number theory

keyword : probability theory, analytic number theory, general Dirichlet series, Besicovitch almost periodic functions, random matrix theory

2010.04～2014.03.

**Academic Activities**

**Membership in Academic Society**

- The mathematical society of Japan

Educational

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