3 papers
math.DS2026
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…
math.DS2025
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…
math.DS2025
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…