Sharp error term in local limit theorems and mixing for Lorentz gases with infinite horizon

DOI10.1007/s00220-021-03984-5zbMath1466.37008arXiv2001.02270OpenAlexW2999559084MaRDI QIDQ2662868

Françoise Pène, Dalia Terhesiu

Publication date: 15 April 2021

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.02270

zbMATH Keywords

eigenvaluesLorentz gaseseigenprojectorsSinai billiard map

Mathematics Subject Classification ID

Dynamical systems and their relations with probability theory and stochastic processes (37A50) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Statistical mechanics of gases (82D05) Dynamical aspects of statistical mechanics (37A60) Dynamical systems with singularities (billiards, etc.) (37C83)

Related Items (5)

Krickeberg mixing for \(\mathbb{Z}\)-extensions of Gibbs Markov semiflows ⋮ Statistical properties of type D dispersing billiards ⋮ Periodic Lorentz gas with small scatterers ⋮ The Lorentz gas with a nearly periodic distribution of scatterers ⋮ Infinite measure mixing for some mechanical systems

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