A functional analytic approach to perturbations of the Lorentz gas

DOI10.1007/s00220-013-1820-0zbMath1385.37050arXiv1210.1261OpenAlexW3099922623MaRDI QIDQ387634

Mark F. Demers, Hong-Kun Zhang

Publication date: 23 December 2013

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

Full work available at URL: https://arxiv.org/abs/1210.1261

zbMATH Keywords

Lorentz gastransfer operatorbilliard map

Mathematics Subject Classification ID

Related Items (32)

The work of Sébastien Gouëzel on limit theorems and on weighted Banach spaces ⋮ Statistical stability and linear response for random hyperbolic dynamics ⋮ Statistical properties of type D dispersing billiards ⋮ Anosov diffeomorphisms, anisotropic BV spaces and regularity of foliations ⋮ Local limit theorem for randomly deforming billiards ⋮ Thermodynamic formalism for dispersing billiards ⋮ Periodic Lorentz gas with small scatterers ⋮ A vector-valued almost sure invariance principle for random expanding on average cocycles ⋮ Variance continuity for Lorenz flows ⋮ Exponential decay of correlations for finite horizon Sinai billiard flows ⋮ Topological entropy and pressure for finite-horizon Sinai billiards ⋮ Large scale stochastic dynamics. Abstracts from the workshop held September 11--17, 2022 ⋮ Inducing schemes with finite weighted complexity ⋮ Projective cones for sequential dispersing billiards ⋮ A gentle introduction to anisotropic Banach spaces ⋮ Electrical current in Sinai billiards under general small forces ⋮ Uniqueness and exponential mixing for the measure of maximal entropy for piecewise hyperbolic maps ⋮ Equidistribution for standard pairs in planar dispersing billiard flows ⋮ Martingale-coboundary decomposition for families of dynamical systems ⋮ Fluctuation of the entropy production for the Lorentz gas under small external forces ⋮ Non-stationary almost sure invariance principle for hyperbolic systems with singularities ⋮ Differentiability of thermodynamical quantities in non uniformly expanding dynamics ⋮ A spectral approach for quenched limit theorems for random hyperbolic dynamical systems ⋮ Analytical techniques for linear response formula of equilibrium states ⋮ Spectral gap and quantitative statistical stability for systems with contracting fibers and Lorenz-like maps ⋮ On the measure of maximal entropy for finite horizon Sinai Billiard maps ⋮ Limit theorems for random non-uniformly expanding or hyperbolic maps with exponential tails ⋮ Decay of correlations for unbounded observables ⋮ Parabolic dynamics and anisotropic Banach spaces ⋮ Almost sure invariance principle for random dynamical systems via Gouëzel's approach ⋮ Infinite measure mixing for some mechanical systems ⋮ Spectral Properties of Ruelle Transfer Operators for Regular Gibbs Measures and Decay of Correlations for Contact Anosov Flows

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