Marches en milieu aléatoire et mesures quasi-invariantes pour un système dynamique
Volume 84 / 2000
Colloquium Mathematicum 84 (2000), 457-480
DOI: 10.4064/cm-84/85-2-457-480
Abstract
The invariant measures for a Markovian operator corresponding to a random walk, in a random stationary one-dimensional environment defined by a dynamical system, are quasi-invariant measures for the system. We discuss the construction of such measures in the general case and show unicity, under some assumptions, for a rotation on the circle.
