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arXiv:1904.05761 [math.DS]AbstractReferencesReviewsResources

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

Ana Cristina Moreira Freitas, Jorge Milhazes Freitas, Mário Magalhães, Sandro Vaienti

Published 2019-04-10Version 1

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.

Comments: arXiv admin note: text overlap with arXiv:1507.00599
Categories: math.DS, math.PR
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