Point processes of non stationary sequences generated by sequential and random dynamical systems
Dynamical Systems
2019-04-12 v1 Probability
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.
Cite
@article{arxiv.1904.05761,
title = {Point processes of non stationary sequences generated by sequential and random dynamical systems},
author = {Ana Cristina Moreira Freitas and Jorge Milhazes Freitas and Mário Magalhães and Sandro Vaienti},
journal= {arXiv preprint arXiv:1904.05761},
year = {2019}
}
Comments
arXiv admin note: text overlap with arXiv:1507.00599