Rare event process and entry times distribution for arbitrary null sets on compact manifolds

DOI10.1214/20-AIHP1109zbMath1477.37009arXiv1905.09956OpenAlexW3161444317MaRDI QIDQ2041839

Yanyan Li

Publication date: 23 July 2021

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.09956

zbMATH Keywords

compound Poisson distributionmixing dynamical systemsrare event processYoung's towers

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) Convergence of probability measures (60B10) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

Related Items (3)

Multiple Borel-Cantelli lemma in dynamics and multilog law for recurrence ⋮ Cluster distributions for dynamically defined point processes ⋮ Escape rate and conditional escape rate from a probabilistic point of view

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