Distribution of periods of closed trajectories in exponentially shrinking intervals
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | PETKOV, Vesselin | |
| hal.structure.identifier | School of Mathematics and Statistics [Crawley, Perth] | |
| dc.contributor.author | STOYANOV, Luchezar | |
| dc.date.accessioned | 2024-04-04T02:19:42Z | |
| dc.date.available | 2024-04-04T02:19:42Z | |
| dc.date.created | 2012-01-17 | |
| dc.date.issued | 2012 | |
| dc.identifier.issn | 0010-3616 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189428 | |
| dc.description.abstractEn | We examine the asymptotics of the number of the closed trajectories $\gamma$ of hyperbolic flows $\phi_t$ whose primitive periods $T_{\gamma}$ lie in exponentially shrinking intervals $(x - e^{-\delta x}, x + e^{-\delta x}),\:\delta > 0,\: x \to + \infty.$ Our results holds for hyperbolic dynamical systems having a symbolic model with a non-lattice roof function $f$ under the assumption that the corresponding Ruelle operator related to $f$ satisfies strong spectral estimates. In particular, our analysis works for open billiard systems and for the geodesics flow on manifolds with constant negative curvature. | |
| dc.language.iso | en | |
| dc.publisher | Springer Verlag | |
| dc.title.en | Distribution of periods of closed trajectories in exponentially shrinking intervals | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1007/s00220-012-1419-x | |
| dc.subject.hal | Mathématiques [math]/Systèmes dynamiques [math.DS] | |
| dc.subject.hal | Physique [physics]/Physique mathématique [math-ph] | |
| dc.subject.hal | Mathématiques [math]/Physique mathématique [math-ph] | |
| dc.identifier.arxiv | 1008.4308 | |
| bordeaux.journal | Communications in Mathematical Physics | |
| bordeaux.page | 675-704 | |
| bordeaux.volume | 310 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 3 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00947034 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00947034v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Communications%20in%20Mathematical%20Physics&rft.date=2012&rft.volume=310&rft.issue=3&rft.spage=675-704&rft.epage=675-704&rft.eissn=0010-3616&rft.issn=0010-3616&rft.au=PETKOV,%20Vesselin&STOYANOV,%20Luchezar&rft.genre=article |
Fichier(s) constituant ce document
| Fichiers | Taille | Format | Vue |
|---|---|---|---|
|
Il n'y a pas de fichiers associés à ce document. |
|||