Limit theorems for dispersing billiards with cusps
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Publication:652265
DOI10.1007/s00220-011-1342-6zbMath1241.37005OpenAlexW2036285633MaRDI QIDQ652265
Dmitry Dolgopyat, Péter Bálint, Nikolai I. Chernov
Publication date: 14 December 2011
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00220-011-1342-6
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Related Items (22)
The work of Sébastien Gouëzel on limit theorems and on weighted Banach spaces ⋮ Stable laws for chaotic billiards with cusps at flat points ⋮ Superdiffusion in the periodic Lorentz gas ⋮ Flexibility of statistical properties for smooth systems satisfying the central limit theorem ⋮ Periodic Lorentz gas with small scatterers ⋮ Dynamics of classical particles in oval or elliptic billiards with a dispersing mechanism ⋮ Cusps in heavy billiards ⋮ Knudsen gas in flat tire ⋮ Linear and nonlinear stability of periodic orbits in annular billiards ⋮ Convergence to a Lévy process in the Skorohod \(\mathcal{M}_1\) and \(\mathcal{M}_2\) topologies for nonuniformly hyperbolic systems, including billiards with cusps ⋮ Equidistribution for standard pairs in planar dispersing billiard flows ⋮ Necessary and sufficient condition for ℳ2-convergence to a Lévy process for billiards with cusps at flat points ⋮ Non-stationary almost sure invariance principle for hyperbolic systems with singularities ⋮ Universal hitting time statistics for integrable flows ⋮ Statistical properties of the system of two falling balls ⋮ Convergence of moments for dispersing billiards with cusps ⋮ Decay of correlations for billiards with flat points II: cusps effect ⋮ Convergence to a-stable Lévy motion for chaotic billiards with several cusps at flat points ⋮ Regular variation and rates of mixing for infinite measure preserving almost Anosov diffeomorphisms ⋮ Decay of correlations for unbounded observables ⋮ Sharp polynomial bounds on decay of correlations for multidimensional nonuniformly hyperbolic systems and billiards ⋮ Weak convergence to stable Lévy processes for nonuniformly hyperbolic dynamical systems
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