Counting Pollicott--Ruelle resonances for Axiom A flows
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866910289135403008 |
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| author | Jin, Long Tao, Zhongkai |
| author_facet | Jin, Long Tao, Zhongkai |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_02297 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Counting Pollicott--Ruelle resonances for Axiom A flows Jin, Long Tao, Zhongkai Dynamical Systems Spectral Theory 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. |
| title | Counting Pollicott--Ruelle resonances for Axiom A flows |
| topic | Dynamical Systems Spectral Theory |
| url | https://arxiv.org/abs/2306.02297 |