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math.DS2023
Counting Pollicott--Ruelle resonances for Axiom A flows
Long Jin, Zhongkai Tao
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 lowe…
math.DS2022
Flat trace estimates for Anosov flows
Long Jin, Zhongkai Tao
We prove a high energy flat trace estimate for the modified resolvent of the generator of an Anosov flow. This fills a gap in the proof of the local trace formula in [Jin-Zworski '…