2 papers
math.DS2026
Thermodynamic formalism for hyperbolic random dynamical systems
Lucas Amorim, Matheus M Castro, Benoit Saussol +1
We develop thermodynamic formalism for random Anosov maps and uniformly Hölder random potentials. We assume uniform fibre hyperbolicity given by deterministic invariant cone field…
math.DS2025
Quenched invariance principle with a rate for random dynamical systems
Zhenxin Liu, Benoit Saussol, Sandro Vaienti +1
In this paper, we consider the quenched invariance principle for random Young towers driven by an ergodic system. In particular, we obtain the Wassertein convergence rate in the qu…