Small scale quantum ergodicity in cat maps. II. Quasimodes that are not equidistributed at the logarithmical scales
Analysis of PDEs
2020-05-05 v1 Mathematical Physics
Dynamical Systems
math.MP
Spectral Theory
Abstract
In this series, we investigate quantum ergodicity at small scales for linear hyperbolic maps of the torus ("cat maps'"). In Part II of the series, we construct quasimodes that are quantum ergodic but are not equidistributed at the logarithmical scales.
Cite
@article{arxiv.2005.00648,
title = {Small scale quantum ergodicity in cat maps. II. Quasimodes that are not equidistributed at the logarithmical scales},
author = {Xiaolong Han},
journal= {arXiv preprint arXiv:2005.00648},
year = {2020}
}
Comments
22 pages