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

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.

arXiv admin note: text overlap with arXiv:1507.00599