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arXiv · 2306.02297

Counting Pollicott--Ruelle resonances for Axiom A flows

Long Jin·Zhongkai Tao
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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 $r$ in strips for open hyperbolic systems and Axiom A flows with a transversality condition.

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Long Jin, Zhongkai Tao. 2023-06-04. Counting Pollicott--Ruelle resonances for Axiom A flows. https://arxiv.org/abs/2306.02297

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