The general asymptotic return-time process

DOI10.1007/S11856-016-1293-XzbMath1360.37023OpenAlexW2408580086MaRDI QIDQ2630857

Roland Zweimüller

Publication date: 22 July 2016

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-016-1293-x

zbMATH Keywords

rare eventslimiting behaviourhitting-time processesreturn-times

Mathematics Subject Classification ID

Stationary stochastic processes (60G10) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Functional limit theorems; invariance principles (60F17) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (3)

Hitting times and positions in rare events ⋮ Entry and return times for semi-flows ⋮ A Poisson limit theorem for Gibbs–Markov maps

Cites Work

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• Hitting and returning to rare events for all alpha-mixing processes
• Distributional limit theorems in infinite ergodic theory
• Asymptotics for hitting times
• Statistics of return times: A general framework and new applications
• Possible limit laws for entrance times of an ergodic aperiodic dynamical system.
• Mixing limit theorems for ergodic transformations
• \(k\)-limit laws of return and hitting times
• Hitting and return times in ergodic dynamical systems
• Return-Time Statistics, Hitting-Time Statistics and Inducing

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