6 papers · 1 filter
Dynamical blanket times
Natalia Jurga, Mike Todd
We introduce dynamical blanket times, which quantify how quickly the empirical distribution along a typical orbit approximates the invariant measure. These can be viewed as a measu…
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…
A trichotomy for hitting times and escape rates for a class of unimodal maps
Mark Demers, Mike Todd
We consider local escape rates and hitting time statistics for unimodal interval maps of Misiurewicz-Thurston type. We prove that for any point in the interval there is a local…
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 i…
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…
Convergence to decorated Lévy processes in non-Skorohod topologies for dynamical systems
Ana Cristina Moreira Freitas, Jorge Milhazes Freitas, Ian Melbourne +1
We present a general framework for weak convergence to decorated Lévy processes in enriched spaces of cà dlà g functions for vector-valued processes arising in deterministic syste…