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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.DS2024
Countable Markov shifts with exponential mixing
Mike Todd, Boyuan Zhao
We give a set of equivalent conditions for a potential on a Countable Markov Shift to have strong positive recurrence, which is also equivalent to having exponential decay of corre…
math.DS2024
On distributional limit laws for recurrence
Mark Holland, Mike Todd
For a probability measure preserving dynamical system , the Poincaré Recurrence Theorem asserts that -almost every orbit is recurrent with respect to its init…