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 | |
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