Counting Pollicott--Ruelle resonances for Axiom A flows
classification
🧮 math.DS
math.SP
keywords
axiomflowsresonancesboundshyperbolicnumberopenpollicott--ruelle
read the original 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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