Main concepts of quasi-stationary distributions (QSDs) for killed processes are the focus of
the present volume. For diffusions, the killing is at the boundary and for dynamical systems …

We obtain large deviation estimates for a large class of nonuniformly hyperbolic systems:
namely those modelled by Young towers with summable decay of correlations. In the case of …

We prove large deviation principles for ergodic averages of dynamical systems admitting
Markov tower extensions with exponential return times. Our main technical result from which …

We obtain results on large deviations for a large class of nonuniformly hyperbolic dynamical
systems with polynomial decay of correlations $1/n^\beta $, $\beta> 0$. This includes …

A classic approach in dynamical systems is to use particular geometric structures to deduce
statistical properties, for example the existence of invariant measures with stochastic-like …

We establish bounds for the measure of deviation sets associated to continuous
observables with respect to not necessarily invariant weak Gibbs measures. Under some …

In this paper we study the ergodic theory of a robust non-uniformly expanding maps where
no Markov assumption is required. We prove that the topological pressure is differentiable …

We use a weak Gibbs property and a weak form of specification to derive level-2 large
deviations principles for symbolic systems equipped with a large class of reference …

In this article we prove estimates for the topological pressure of the set of points whose
Birkhoff time averages are far from the space averages corresponding to the unique …

We construct open sets of C k (k≥ 2) vector fields with singularities that have robust
exponential decay of correlations with respect to the unique physical measure. In particular …