ASYMPTOTICS FOR RETURN TIMES OF RANK-ONE SYSTEMS

DOI10.1142/S0219493705001298zbMath1137.37300MaRDI QIDQ4662171

V. Chaumoître, Michal Kupsa

Publication date: 30 March 2005

Published in: Stochastics and Dynamics (Search for Journal in Brave)

zbMATH Keywords

mixingAsymptoticsreturn timesstaircase transformationrank-one

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Measure-preserving transformations (28D05) Dynamical aspects of measure-preserving transformations (37A05) Ergodicity, mixing, rates of mixing (37A25)

Related Items (2)

The law of series ⋮ MATRIX TECHNIQUE REPRESENTATION FOR SECOND RETURN TIME ASYMPTOTICS

Cites Work

• Recurrence times and rates of mixing
• Asymptotic limit law for the close approach of two trajectories in expanding maps of the circle
• Statistics of return times: A general framework and new applications
• Possible limit laws for entrance times of an ergodic aperiodic dynamical system.
• Statistics of close visits to the indifferent fixed point of an interval map
• Limit laws of entrance times for low-complexity Cantor minimal systems
• Mixing on Sequences
• Smorodinsky’s conjecture on rank-one mixing
• Return time statistics via inducing

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