Entropy, Lyapunov exponents, and mean free path for billiards
type: Item
instance of: scholarly article
title: Entropy, Lyapunov exponents, and mean free path for billiards
zbMATH Open document ID: 0919.58039
DOI: 10.1007/BF02508462
published in: Journal of Statistical Physics
publication date: 1999-09-07T00:00:00Z
review text: The author reviews known results and derives some new ones about the mean free path, Kolmogorov-Sinai entropy, and Lyapunov exponents for billiard-type dynamical systems. The author focusses on exact and asymptotic formulas for these quantities. The dynamical systems which are considered in this paper include the periodic Lorentz gas, the stadium and its modifications, and the gas of hard balls. Some open questions and numerical observations are discussed.
Mathematics Subject Classification ID: 37A99
Mathematics Subject Classification ID: 82C40
Mathematics Subject Classification ID: 37D99
zbMATH DE Number: 1279678
zbMATH Keywords: Kolmogorov-Sinai entropy
zbMATH Keywords: Ljapunov exponents
zbMATH Keywords: billard-type dynamical systems
zbMATH Keywords: asymptotic formulas
zbMATH Keywords: periodic Lorentz gas
zbMATH Keywords: stadium
zbMATH Keywords: modifications
zbMATH Keywords: gas of hard balls
author: Nikolai Chernov
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1279678