73 citations · 257 across the 26 of their papers we have counts for
28 papers
Recent Progress in the Application of Transfer Operators to Dispersing Billiards
Mark F Demers, Carlangelo Liverani
This is a review paper about the use of transfer operators to study the statistical properties of hyperbolic billiards. The main focus is on equilibrium states, sequential billiard…
Central Limit Theorem for Sequential Dynamical Systems
Mark F. Demers, Carlangelo Liverani
We present a general approach to establish the Central Limit Theorem with error bounds for sequential dynamical systems. The main tool we develop is the application to this setting…
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…
Lyapunov exponents and nonadapted measures for dispersing billiards
Vaughn Climenhaga, Mark Demers, Yuri Lima +1
For hyperbolic systems with singularities, such as dispersing billiards, Pesin theory as developed by Katok and Strelcyn applies to measures that are "adapted" in the sense that th…
Measure of maximal entropy for finite horizon Sinai billiard flows
Viviane Baladi, Jérôme Carrand, Mark Demers
Using recent work of Carrand on equilibrium states for the billiard map, and bootstrapping via a "leapfrogging" method from a previous article of Baladi and Demers, we construct th…
Rates of mixing for the measure of maximal entropy of dispersing billiard maps
Mark F. Demers, Alexey Korepanov
In a recent work, Baladi and Demers constructed a measure of maximal entropy for finite horizon dispersing billiard maps and proved that it is unique, mixing and moreover Bernoulli…