Return times at periodic points in random dynamics

DOI10.1088/0951-7715/30/1/73zbMath1379.37013arXiv1511.01657OpenAlexW2963496390MaRDI QIDQ2958633

Nicolai T. A. Haydn, Mike Todd

Publication date: 3 February 2017

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.01657

zbMATH Keywords

random measurereturn times distributioncompound Poisson distributionrandom equilibrium state

Mathematics Subject Classification ID

Dynamical systems and their relations with probability theory and stochastic processes (37A50) Generation, random and stochastic difference and differential equations (37H10) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05)

Related Items (2)

Longest common substring for random subshifts of finite type ⋮ Quenched Poisson processes for random subshifts of finite type

Cites Work

• Exponential law for random subshifts of finite type
• Hitting and returning to rare events for all alpha-mixing processes
• Hitting, returning and the short correlation function
• Hitting times and periodicity in random dynamics
• Sharp error terms for return time statistics under mixing conditions
• Compound Poisson approximation for nonnegative random variables via Stein's method
• The limiting distribution and error terms for return times of dynamical systems
• Compound Poisson approximation for unbounded functions on a group, with application to large deviations
• The compound Poisson distribution and return times in dynamical systems
• Laws of rare events for deterministic and random dynamical systems
• Limit theorems for random transformations and processes in random environments
• Poisson law for Axiom A diffeomorphisms
• Return times distribution for Markov towers with decay of correlations

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