Counting Pollicott--Ruelle resonances for Axiom A flows
Dynamical Systems
2024-01-09 v2 Spectral Theory
Abstract
In this paper, we count the number of Pollicott--Ruelle resonances for open hyperbolic systems and Axiom A flows. In particular, we prove polynomial upper bounds and sublinear lower bounds on the number of resonances with modulus less than in strips for open hyperbolic systems and Axiom A flows with a transversality condition.
Keywords
Cite
@article{arxiv.2306.02297,
title = {Counting Pollicott--Ruelle resonances for Axiom A flows},
author = {Long Jin and Zhongkai Tao},
journal= {arXiv preprint arXiv:2306.02297},
year = {2024}
}
Comments
47 pages. Improve the lower bound from the previous version