Statistical properties of the system of two falling balls

DOI10.1063/1.3692973zbMath1331.37005OpenAlexW2060905303WikidataQ51347794 ScholiaQ51347794MaRDI QIDQ2787799

Péter Bálint, András Némedy Varga, Gábor Borbély

Publication date: 4 March 2016

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/edc611dd7a9de524d663484ef76d9e8afc1908aa

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Cites Work

• Limit theorems for dispersing billiards with cusps
• The characteristic exponents of the falling ball model
• Limit theorems in the stadium billiard
• Dispersing billiards with cusps: slow decay of correlations
• A system of one-dimensional balls with gravity
• Exponential decay of correlations in multi-dimensional dispersing billiards
• Decay of correlations and invariance principles for dispersing billiards with cusps, and related planar billiard flows
• A vector-valued almost sure invariance principle for hyperbolic dynamical systems
• Statistical properties of dynamical systems with some hyperbolicity
• Recurrence times and rates of mixing
• Correlation decay in certain soft billiards
• Central limit theorem and stable laws for intermittent maps
• Statistical limit theorems for suspension flows
• Limit laws and recurrence for the planar Lorentz process with infinite horizon
• Statistical properties of two-dimensional hyperbolic billiards
• Large deviations for intermittent maps
• Rapid decay of correlations for nonuniformly hyperbolic flows
• Large and moderate deviations for slowly mixing dynamical systems
• Ergodicity of a Hamiltonian system of two particles in an exterior field
• A probabilistic approach to intermittency
• Billiards with polynomial decay of correlations
• An Introduction to Chaos in Nonequilibrium Statistical Mechanics
• Billiards with polynomial mixing rates

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