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Counting Pollicott--Ruelle resonances for Axiom A flows

Published 4 Jun 2023 in math.DS and math.SP | (2306.02297v2)

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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Authors (2)

  1. Long Jin 
  2. Zhongkai Tao 

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