Local ergodicity for systems with growth properties including multi-dimensional dispersing billiards
type: Item
instance of: scholarly article
title: Local ergodicity for systems with growth properties including multi-dimensional dispersing billiards
zbMATH Open document ID: 1162.37004
author: Pavel Bachurin
author: Péter Bálint
author: Imre Péter Tóth
published in: Israel Journal of Mathematics
publication date: 2009-02-17T00:00:00Z
review text: The authors study local ergodicity of hyperbolic systems with singularities with the aim to investigate multidimensional uniformly hyperbolic systems, in particular multidimensional dispersing billiards. The results of the work [\textit{Ya. G. Sinai}, Russ. Math. Surveys 25, 137--189 (1970; Zbl 0263.58011)] are generalized to a multi-dimensional hyperbolic setting, that allows to prove local-ergodicity for a class of multidimensional dispersing billiards (independent proof with the article [\textit{N. Chernov}, J. Stat. Phys. 94, 513--556 (1999; Zbl 1047.37503)]).
reviewed by: Irina V. Konopleva
Mathematics Subject Classification ID: 37A25
Mathematics Subject Classification ID: 37D50
zbMATH DE Number: 5508705
zbMATH Keywords: uniformly discrete time dynamic systems
zbMATH Keywords: local ergodicity
zbMATH Keywords: multi-dimensional dispersing billiards
MaRDI profile type: Publication
full work available at URL: s11856-008-1045-7
OpenAlex ID: W2038714834
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DOI: 10.1007/S11856-008-1045-7
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description: scientific article; zbMATH DE number 5508705