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Teoria de Valores Extremos em Sistemas Dinâmicos
Ana Cristina Moreira Freitas; Jorge Milhazes Freitas
Convergence to decorated Lévy processes in non-Skorohod topologies for dynamica...
Ana Cristina Moreira Freitas; Jorge Milhazes Freitas; Mike Todd; Ian Melbourne
Cluster Distributions for dynamically defined point processes
Ana Cristina Moreira Freitas; Jorge Milhazes Freitas; Corentin Correia
Enriched functional limit theorems for dynamical systems
Ana Cristina Moreira Freitas; Jorge Milhazes Freitas; Mike Todd
Rare events for Cantor target sets
Ana Cristina Moreira Freitas; Jorge Milhazes Freitas; Fagner B. Rodrigues; Jorge Valentim Soares
Point processes of non stationary sequences generated by sequential and random ...
Ana Cristina Moreira Freitas; Jorge Milhazes Freitas; Mário Magalhães; Sandro Vaienti
Clustering indices and decay of correlations in non-Markovian models
Ana Cristina Moreira Freitas; Jorge Milhazes Freitas; Miguel Abadi
Dynamical counterexamples regarding the Extremal Index and the mean of the limi...
Ana Cristina Moreira Freitas; Jorge Milhazes Freitas; Miguel Abadi
Extreme Value Laws for Dynamical Systems with Countable Extremal Sets
Azevedo, D; Ana Cristina Moreira Freitas; Jorge Milhazes Freitas; Rodrigues, FBWe consider stationary stochastic processes arising from dynamical systems by evaluating a given observable along the orbits of the system. We focus on the extremal behaviour of the process, which is related to the entrance in certain regions of the phase space, which correspond to neighbourhoods of the maximal set (Formula presented.), i.e.,the set of points where the observable is maximised. The main novelty ...
Extreme Value Laws for non stationary processes generated by sequential and ran...
Ana Cristina Moreira Freitas; Jorge Milhazes Freitas; Vaienti, SWe develop and generalise the theory of extreme value for non-stationary stochastic processes, mostly by weakening the uniform mixing condition that was previously used in this setting.We apply our results to non-autonomous dynamical systems, in particular to sequential dynamical systems, given by uniformly expanding maps, and to a few classes of random dynamical systems. Some examples are presented and worked ...