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arXiv · 1904.05761

Point processes of non stationary sequences generated by sequential and random dynamical systems

Ana Cristina Moreira Freitas·Jorge Milhazes Freitas·Mário Magalhães·Sandro Vaienti
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Abstract

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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Ana Cristina Moreira Freitas, Jorge Milhazes Freitas, Mário Magalhães, Sandro Vaienti. 2019-04-10. Point processes of non stationary sequences generated by sequential and random dynamical systems. https://arxiv.org/abs/1904.05761

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