Random walks generated by area preserving maps with zero Lyapounov exponents

DOI10.1016/S1007-5704(03)00053-4zbMath1029.37020MaRDI QIDQ1406794

D. Massart

Publication date: 7 September 2003

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

zbMATH Keywords

asymptotic behaviorLyapunov exponentszero entropyCentral limit theoremDiffusion coefficientsWeak chaos

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Dynamical aspects of measure-preserving transformations (37A05) Dynamical systems with hyperbolic behavior (37D99)

Cites Work

• Statistical properties of Lorentz gas with periodic configuration of scatterers
• Chapman-Kolmogorov equation for non-Markovian shift-invariant measures
• Decay of correlations and mixing properties in a dynamical system with zero K–S entropy
• Markov partitions for two-dimensional hyperbolic billiards
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