A generalization of Straube's theorem: existence of absolutely continuous invariant measures for random maps.
Almost sure rates of mixing for i.i.d. unimodal maps
Corrigendum : “Almost sure rates of mixing for i.i.d. unimodal maps”
Coupled map lattices with asynchronous updatings
Detecting synchronization in spatially extended discrete systems by complexity measurements.
Ergodicity for the stochastic complex Ginzburg–Landau equations
Ergodicity of PCA: equivalence between spatial and temporal mixing conditions.
On exponential convergence to a stationary measure for a class of random dynamical systems
For a class of random dynamical systems which describe dissipative nonlinear PDEs perturbed by a bounded random kick-force, I propose a “direct proof” of the uniqueness of the stationary measure and exponential convergence of solutions to this measure, by showing that the transfer-operator, acting in the space of probability measures given the Kantorovich metric, defines a contraction of this space.
Random perturbations and statistical properties of Hénon-like maps
Smooth Extensions of Bernoulli Shifts
For homographic extensions of the one-sided Bernoulli shift we construct σ-finite invariant and ergodic product measures. We apply the above to the description of invariant product probability measures for smooth extensions of one-sided Bernoulli shifts.
Stability of the spectrum for transfer operators
Strong stochastic stability and rate of mixing for unimodal maps
Sur les retardateurs