191 citations · 688 across the 35 of their papers we have counts for
44 papers
Hölder continuity of measures for heavy tail potentials
Godofredo Iommi, Dalia Terhesiu, Mike Todd
For a class of potentials satisfying a condition depending on the roof function of a suspension (semi)flow, we show an EKP inequality, which can be interpreted as a Hölder cont…
Orbits closeness for slowly mixing dynamical systems
Jerome Rousseau, Mike Todd
Given a dynamical system, we prove that the shortest distance between two -orbits scales like to a power even when the system has slow mixing properties, thus building and i…
Cover times in dynamical systems
Natalia Jurga, Mike Todd
Given a one-dimensional dynamical system we study its cover time, which quantifies the rate at which orbits become dense in the state space. Using transfer operator tools for dynam…
Enriched functional limit theorems for dynamical systems
Ana Cristina Moreira Freitas, Jorge Milhazes Freitas, Mike Todd
We prove functional limit theorems for dynamical systems in the presence of clusters of large values which, when summed and suitably normalised, get collapsed in a jump of the limi…
Differentiability of the pressure in non-compact spaces
Godofredo Iommi, Mike Todd
Regularity properties of the pressure are related to phase transitions. In this article we study thermodynamic formalism for systems defined in non-compact phase spaces, our main f…
Escape of entropy for countable Markov shifts
Godofredo Iommi, Mike Todd, Anibal Velozo
In this paper we study ergodic theory of countable Markov shifts. These are dynamical systems defined over non-compact spaces. Our main result relates the escape of mass, the measu…