57 citations · 125 across the 5 of their papers we have counts for
5 papers
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 fields…
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…
A spectral approach for quenched limit theorems for random expanding dynamical systems
Davor Dragicevic, Gary Froyland, Cecilia Gonzalez-Tokman +1
We prove quenched versions of (i) a large deviations principle (LDP), (ii) a central limit theorem (CLT), and (iii) a local central limit theorem (LCLT) for non-autonomous dynamica…
Almost sure invariance principle for random piecewise expanding maps
D. Dragicevic, G. Froyland, C. González-Tokman +1
We prove a fiberwise almost sure invariance principle for random piecewise expanding transformations in one and higher dimensions using recent developments on martingale techniques…
Recurrence, dimensions and Lyapunov exponents
B. Saussol, S. Troubetzkoy, S. Vaienti
We show that the Poincaré return time of a typical cylinder is at least its length. For one dimensional maps we express the Lyapunov exponent and dimension via return times.