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Article Dans Une Revue Journal of Statistical Physics Année : 2020

Point Processes of Non stationary Sequences Generated by Sequential and Random Dynamical Systems

Résumé

We give general sufficient conditions to prove the convergence of marked point processes that keep record of the occurrence of rare events and of their impact for non-autonomous dynamical systems. We apply the results to sequential dynamical systems associated to uniformly expanding maps and to random dynamical systems given by fibred Lasota Yorke maps.
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Dates et versions

hal-02450476 , version 1 (23-01-2020)

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Ana Cristina Moreira Freitas, Jorge Milhazes Freitas, Mário Magalhães, Sandro Vaienti. Point Processes of Non stationary Sequences Generated by Sequential and Random Dynamical Systems. Journal of Statistical Physics, 2020, 181 (4), pp.1365-1409. ⟨10.1007/s10955-020-02630-z⟩. ⟨hal-02450476⟩
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