Ergodic properties of a randomly perturbed family of piecewise \(C^ 2\)-diffeomorphisms in \(\mathbb{R}^ d\)
A randomly perturbed dynamical system is investigated by means of specific techniques (due to the present author), used before in connection with a Bernoulli property of some piecewise diffeomorphisms, ergodic maps and invariant measures for Markov maps of an interval. The main theorems of the paper establish conditions that ensure the convergence of the sequence of probability distributions (generated by the randomly perturbed system) to a unique stationary density.
scientific article; zbMATH DE number 1028162
scientific article