Spectral statistics of a pseudo-integrable map: the general case
Chaotic Dynamics
2015-05-13 v1 Exactly Solvable and Integrable Systems
Abstract
It is well established numerically that spectral statistics of pseudo-integrable models differs considerably from the reference statistics of integrable and chaotic systems. In [PRL,93 (2004) 254102] statistical properties of a certain quantized pseudo-integrable map had been calculated analytically but only for a special sequence of matrix dimensions. The purpose of this paper is to obtain the spectral statistics of the same quantum map for all matrix dimensions.
Cite
@article{arxiv.0903.2231,
title = {Spectral statistics of a pseudo-integrable map: the general case},
author = {E. Bogomolny and R. Dubertrand and C. Schmit},
journal= {arXiv preprint arXiv:0903.2231},
year = {2015}
}