Pollicott–Ruelle Resonances for Open Systems
© 2016, Springer International Publishing. We define Pollicott–Ruelle resonances for geodesic flows on noncompact asymptotically hyperbolic negatively curved manifolds, as well as for more general open hyperbolic systems related to Axiom A flows. These resonances are the poles of the meromorphic con...
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| Format: | Article |
| Language: | English |
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Springer Nature
2021
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| Online Access: | https://hdl.handle.net/1721.1/133913 |
| _version_ | 1826209490415910912 |
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| author | Dyatlov, Semyon Guillarmou, Colin |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Dyatlov, Semyon Guillarmou, Colin |
| author_sort | Dyatlov, Semyon |
| collection | MIT |
| description | © 2016, Springer International Publishing. We define Pollicott–Ruelle resonances for geodesic flows on noncompact asymptotically hyperbolic negatively curved manifolds, as well as for more general open hyperbolic systems related to Axiom A flows. These resonances are the poles of the meromorphic continuation of the resolvent of the generator of the flow and they describe decay of classical correlations. As an application, we show that the Ruelle zeta function extends meromorphically to the entire complex plane. |
| first_indexed | 2024-09-23T14:23:19Z |
| format | Article |
| id | mit-1721.1/133913 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T14:23:19Z |
| publishDate | 2021 |
| publisher | Springer Nature |
| record_format | dspace |
| spelling | mit-1721.1/1339132024-01-02T18:29:43Z Pollicott–Ruelle Resonances for Open Systems Dyatlov, Semyon Guillarmou, Colin Massachusetts Institute of Technology. Department of Mathematics © 2016, Springer International Publishing. We define Pollicott–Ruelle resonances for geodesic flows on noncompact asymptotically hyperbolic negatively curved manifolds, as well as for more general open hyperbolic systems related to Axiom A flows. These resonances are the poles of the meromorphic continuation of the resolvent of the generator of the flow and they describe decay of classical correlations. As an application, we show that the Ruelle zeta function extends meromorphically to the entire complex plane. 2021-10-27T19:57:12Z 2021-10-27T19:57:12Z 2016 2021-04-28T16:45:03Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/133913 Dyatlov, S., and C. Guillarmou. "Pollicott�Ruelle Resonances for Open Systems." Annales Henri Poincare (2016): 1-58. en 10.1007/S00023-016-0491-8 Annales Henri Poincare Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Springer Nature arXiv |
| spellingShingle | Dyatlov, Semyon Guillarmou, Colin Pollicott–Ruelle Resonances for Open Systems |
| title | Pollicott–Ruelle Resonances for Open Systems |
| title_full | Pollicott–Ruelle Resonances for Open Systems |
| title_fullStr | Pollicott–Ruelle Resonances for Open Systems |
| title_full_unstemmed | Pollicott–Ruelle Resonances for Open Systems |
| title_short | Pollicott–Ruelle Resonances for Open Systems |
| title_sort | pollicott ruelle resonances for open systems |
| url | https://hdl.handle.net/1721.1/133913 |
| work_keys_str_mv | AT dyatlovsemyon pollicottruelleresonancesforopensystems AT guillarmoucolin pollicottruelleresonancesforopensystems |