In this article we study random tower maps driven by an ergodic automorphism. We prove quenched exponential correlations decay for tower maps admitting exponential tails. Our technique is based on constructing suitable cones of functions, defined on the random towers, which contract with respect to the Hilbert metric under the action of appropriate transfer operators. We apply our results to obtain quenched exponential correlations decay for several non-iid random dynamical systems including small random perturbations of Lorenz maps and Axiom A attractors.</p
In this work we study mixing properties of discrete dynamical systems and related to them geometric...
We start by analysing the effect of random perturbations on non-hyperbolic scattering dynamics. We ...
We extend the recent spectral approach for quenched limit theorems developed for piecewise expanding...
In this article we study random tower maps driven by an ergodic automorphism. We prove quenched expo...
In this work, we consider i.i.d. random perturbations of contracting Lorenz maps sufficiently close ...
In this thesis, I examine the long-term statistical behaviour of particular random one-dimensional d...
We introduce random towers to study almost sure rates of correlation decay for random partially hype...
We consider maps preserving a foliation which is uniformly contracting and a one-dimensional associa...
p. 17-44Bonatti and Viana introduced a robust (non-empty interior) class of partially hyperbolic att...
In this paper we prove that a class of skew products maps with non uniformly hyperbolic base has exp...
We prove large deviation principles for ergodic averages of dynamical systems admitting Markov tower...
I illustrate a unified approach to the study of the decay of correlations in hyperbolic dynamical sy...
This monograph offers a coherent, self-contained account of the theory of Sinai–Ruelle–Bowen measure...
Abstract We prove exponential decay of correlations for f where f belongs in a positive measure ...
We prove that skew systems with a sufficiently expanding base have approximate exponential decay of ...
In this work we study mixing properties of discrete dynamical systems and related to them geometric...
We start by analysing the effect of random perturbations on non-hyperbolic scattering dynamics. We ...
We extend the recent spectral approach for quenched limit theorems developed for piecewise expanding...
In this article we study random tower maps driven by an ergodic automorphism. We prove quenched expo...
In this work, we consider i.i.d. random perturbations of contracting Lorenz maps sufficiently close ...
In this thesis, I examine the long-term statistical behaviour of particular random one-dimensional d...
We introduce random towers to study almost sure rates of correlation decay for random partially hype...
We consider maps preserving a foliation which is uniformly contracting and a one-dimensional associa...
p. 17-44Bonatti and Viana introduced a robust (non-empty interior) class of partially hyperbolic att...
In this paper we prove that a class of skew products maps with non uniformly hyperbolic base has exp...
We prove large deviation principles for ergodic averages of dynamical systems admitting Markov tower...
I illustrate a unified approach to the study of the decay of correlations in hyperbolic dynamical sy...
This monograph offers a coherent, self-contained account of the theory of Sinai–Ruelle–Bowen measure...
Abstract We prove exponential decay of correlations for f where f belongs in a positive measure ...
We prove that skew systems with a sufficiently expanding base have approximate exponential decay of ...
In this work we study mixing properties of discrete dynamical systems and related to them geometric...
We start by analysing the effect of random perturbations on non-hyperbolic scattering dynamics. We ...
We extend the recent spectral approach for quenched limit theorems developed for piecewise expanding...