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…
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…
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…
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 càdlàg functions for vector-valued processes arising in deterministic systems.…
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…