Bound on the number of Ruelle resonances for Gevrey hyperbolic flows
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2026
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| Acceso en línea: | |
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| _version_ | 1866908966170132480 |
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| author | Jézéquel, Malo |
| author_facet | Jézéquel, Malo |
| contents | We improve the best known upper bounds on the number of Ruelle resonances in disks of large radius for Gevrey uniformly hyperbolic flows. The proof is based on Rugh's approach of dynamical determinants that replaces the study of the flow itself by the analysis of a system of open hyperbolic maps. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_13702 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Bound on the number of Ruelle resonances for Gevrey hyperbolic flows Jézéquel, Malo Dynamical Systems 37C30 We improve the best known upper bounds on the number of Ruelle resonances in disks of large radius for Gevrey uniformly hyperbolic flows. The proof is based on Rugh's approach of dynamical determinants that replaces the study of the flow itself by the analysis of a system of open hyperbolic maps. |
| title | Bound on the number of Ruelle resonances for Gevrey hyperbolic flows |
| topic | Dynamical Systems 37C30 |
| url | https://arxiv.org/abs/2604.13702 |