Complete convergence and records for dynamically generated stochastic processes

DOI10.1090/TRAN/7922zbMath1432.37011arXiv1707.07071OpenAlexW2963083398WikidataQ127674684 ScholiaQ127674684MaRDI QIDQ5206266

Jorge Milhazes Freitas, Ana Cristina Moreira Freitas, Mário Alexandre Magalhães

Publication date: 18 December 2019

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.07071

zbMATH Keywords

complete convergenceclusteringpoint processeshitting timesrecordsextremal processes

Mathematics Subject Classification ID

Extreme value theory; extremal stochastic processes (60G70) Ergodicity, mixing, rates of mixing (37A25) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Related Items (6)

Multiple Borel-Cantelli lemma in dynamics and multilog law for recurrence ⋮ Cluster distributions for dynamically defined point processes ⋮ Spatio-temporal Poisson processes for visits to small sets ⋮ Dynamical counterexamples regarding the extremal index and the mean of the limiting cluster size distribution ⋮ Application of the Convergence of the Spatio-Temporal Processes for Visits to Small Sets ⋮ Poisson approximations and convergence rates for hyperbolic dynamical systems

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