PETKOV, Vesselin; STOYANOV, Luchezar

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PETKOV, Vesselin
Institut de Mathématiques de Bordeaux [IMB]

STOYANOV, Luchezar
School of Mathematics and Statistics [Crawley, Perth]

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Article de revue

Ce document a été publié dans

Nonlinearity. 2009, vol. 22, p. 2657-2679

IOP Publishing

Résumé en anglais

In this paper we prove two asymptotic estimates for pairs of closed trajectories for open billiards similar to those established by Pollicott and Sharp 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 $\R^N, N \geq 3$ satisfying some additional conditions.< Réduire

URI

https://oskar-bordeaux.fr/handle/20.500.12278/190460

Project ANR

Analyse spectrale et microlocale d'opérateurs non-autoadjoints - ANR-08-BLAN-0228

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Importé de hal

Unités de recherche

Institut de Mathématiques de Bordeaux (IMB) - UMR 5251