261 citations · 703 across the 43 of their papers we have counts for
47 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…
Normal distribution of Lyapunov exponents of periodic orbits for expanding circle maps
Kostiantyn Drach, Zhi Fu, Vadim Kaloshin +2
For a smooth expanding circle map, we show that the empirical distribution of Lyapunov exponents of periodic points of any fixed period is close to normal, with an error that decre…
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…
Piecewise Contractions
Sakshi Jain, Carlangelo Liverani
We study piecewise injective, but not necessarily globally injective, contracting maps on a compact subset of \(\bR^d\). We prove that generically the attractor and the set of disc…
Mean field coupled dynamical systems: Bifurcations and phase transitions
Wael Bahsoun, Carlangelo Liverani
We develop a bifurcation theory for infinite dimensional systems satisfying abstract hypotheses that are tailored for applications to mean field coupled chaotic maps. Our abstract…
Heat equation from a deterministic dynamics
Giovanni Canestrari, Carlangelo Liverani, Stefano Olla
We derive the heat equation for the thermal energy under diffusive space-time scaling for a purely deterministic microscopic dynamics satisfying Newton equations perturbed by an ex…