AustralieFrV1, Main, Exploration, bibRecord, 007F01

Correlations for pairs of periodic trajectories for open billiards

Identifieur interne : 007F01 ( Main/Exploration ); précédent : 007F00; suivant : 007F02

Correlations for pairs of periodic trajectories for open billiards

Auteurs : Vesselin Petkov [France] ; Luchezar Stoyanov [Australie]

Source :

Nonlinearity [ 0951-7715 ] ; 2009.

RBID : ISTEX:68058F55BACFEC467562E841D3C6E7296BF29D51

Descripteurs français

Pascal (Inist)
- 37D50, 62F12, 62G20, 62H20, Analyse corrélation, Analyse non linéaire, Corrélation, Géodésie fermée, Modèle billard, Physique mathématique, Surface compacte, Surface courbe, Trajectoire.
Wicri :
- topic : Codage.

English descriptors

Abstract

In this paper we prove two asymptotic estimates for pairs of closed trajectories for open billiards similar to those established by Pollicott and Sharp (2006 Invent. Math. 163 1024) for closed geodesics on negatively curved compact surfaces. The first of these estimates holds for general open billiards in any dimension. The more intricate second estimate is established for open billiards satisfying the so-called Dolgopyat type estimates. This class of billiards includes all open billiards in the plane and open billiards in (N 3) satisfying some additional conditions.

Url:

https://api.istex.fr/document/68058F55BACFEC467562E841D3C6E7296BF29D51/fulltext/pdf

DOI: 10.1088/0951-7715/22/11/005

Affiliations:

Le document en format XML

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Serveur d'exploration sur les relations entre la France et l'Australie

Correlations for pairs of periodic trajectories for open billiards

Correlations for pairs of periodic trajectories for open billiards

Source :

Descripteurs français

English descriptors

Abstract

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