# AGA

## Seminar

### Spectral statistics of a pseudo-integrable map

Seminar Room 1, Newton Institute

#### Abstract

Different curious spectral properties of a quantum interval exchange map are discussed. In particular, it is demonstrated that when the matrix dimension obeys a certain congruence property the spectral statistics of the map coincides with the semi-Poisson statistics with integer and half integer level repulsion. Special attention is given to the general case where the spectral statistics is calculated by the transfer matrix approach.

## Comments

Start the discussion!