Dispersing Billiards with Small Holes

DOI10.1007/978-1-4939-0419-8_8zbMath1352.37106OpenAlexW2108233851MaRDI QIDQ5259675

Mark F. Demers

Publication date: 29 June 2015

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4939-0419-8_8

zbMATH Keywords

SRB measureescape rateLorentz gasesbilliards with holes

Mathematics Subject Classification ID

Related Items (8)

The baker’s map with a convex hole ⋮ Projective cones for sequential dispersing billiards ⋮ Limiting distributions for countable state topological Markov chains with holes ⋮ Slow and fast escape for open intermittent maps ⋮ Escape rates and singular limiting distributions for intermittent maps with holes ⋮ Open maps: small and large holes with unusual properties ⋮ Pressure and escape rates for random subshifts of finite type ⋮ Targets and holes

Cites Work

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• Spectral analysis of the transfer operator for the Lorentz gas
• Escape rates and physically relevant measures for billiards with small holes
• Zeta functions and transfer operators for piecewise monotone transformations
• Invariant manifolds, entropy and billiards; smooth maps with singularities. With the collab. of F. Ledrappier and F. Przytycki
• Statistical properties of dynamical systems with some hyperbolicity
• Markov extensions for dynamical systems with holes: an application to expanding maps of the interval
• Decay of correlations and dispersing billiards.
• Lasota-Yorke maps with holes: Conditionally invariant probability measures and invariant probability measures on the survivor set
• Behaviour of the escape rate function in hyperbolic dynamical systems
• Expanding maps of an interval with holes
• Entropy, Lyapunov exponents and escape rates in open systems
• Expanding Maps on Sets Which are Almost Invariant: Decay and Chaos
• Existence and convergence properties of physical measures for certain dynamical systems with holes
• Conditionally invariant measures for Anosov maps with small holes
• The Yorke-Pianigiani measure and the asymptotic law on the limit Cantor set of expanding systems
• Ergodic properties of Anosov maps with rectangular holes
• Anosov maps with rectangular holes. Nonergodic cases
• Invariant measures for Anosov maps with small holes
• Intermittency in families of unimodal maps
• Open Billiards: Invariant and Conditionally Iinvariant Probabilities on Cantor Sets
• Billiards with polynomial mixing rates
• Spectral analysis of hyperbolic systems with singularities
• Escape rates and conditionally invariant measures
• Markov extensions and conditionally invariant measures for certain logistic maps with small holes
• Markov partitions for two-dimensional hyperbolic billiards
• Limit theorems for Markov chains and stochastic properties of dynamical systems by quasi-compactness

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