Sur un critère de récurrence en dimension 2 pour les marches stationnaires, applications

DOI10.1017/S0143385799141701zbMath0973.37007OpenAlexW2092289322MaRDI QIDQ3836413

Jean-Pierre Conze

Publication date: 21 November 2001

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385799141701

zbMATH Keywords

Lorentz gasrecurrencecentral limit theoremcocycleergodic dynamical systemsubsequence of positive density

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Dynamical systems and their relations with probability theory and stochastic processes (37A50) General theory of random and stochastic dynamical systems (37H05)

Related Items (20)

Multiple decorrelation and rate of convergence in multidimensional limit theorems for the Prokhorov metric. ⋮ Measure preserving transformations similar to Markov shifts ⋮ Sharp error term in local limit theorems and mixing for Lorentz gases with infinite horizon ⋮ Typical recurrence for the Ehrenfest wind-tree model ⋮ Deterministic walks in random environment ⋮ Self-intersections of trajectories of the Lorentz process ⋮ New horizons in multidimensional diffusion: The Lorentz gas and the Riemann hypothesis ⋮ Limit laws and recurrence for the planar Lorentz process with infinite horizon ⋮ The boundary of the range of a random walk and the Følner property ⋮ Recurrence properties of planar Lorentz process ⋮ Back to balls in billiards ⋮ Quantitative recurrence in two-dimensional extended processes ⋮ Central limit theorems for the \(\mathbb{Z}^2\)-periodic Lorentz gas ⋮ Planar Lorentz process in a random scenery ⋮ Central limit theorem and recurrence for random walks in bistochastic random environments ⋮ On the recurrence set of planar Markov random walks ⋮ Multidimensional local central limit theorem of some non-uniformly hyperbolic systems ⋮ Hölder continuity of the Lyapunov exponents of linear cocycles over hyperbolic maps ⋮ RECURRENCE FOR PERSISTENT RANDOM WALKS IN TWO DIMENSIONS ⋮ Extensions of exact and K-mixing dynamical systems

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