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math.DS2026
Distributional results for the shortest distance between trajectories of different dynamics
Romain Aimino, Théophile Caby, Jorge Milhazes Freitas +1
We establish Extreme Value Distributions for the closest encounter between trajectories generated by different maps defined in the same reference phase space. For a class of strong…
math.DS2024
Multivariate extreme values for dynamical systems
Romain Aimino, Ana Cristina Moreira Freitas, Jorge Milhazes Freitas +1
We establish a theory for multivariate extreme value analysis of dynamical systems. Namely, we provide conditions adapted to the dynamical setting which enable the study of depende…
math.DS2018
Large deviations for dynamical systems with stretched exponential decay of correlations
Romain Aimino, Jorge Milhazes Freitas
We obtain large deviations estimates for systems with stretched exponential decay of correlations, which improve the ones obtained in \cite{AFLV11}. As a consequence we obtain bett…