Displaying similar documents to “Nombre de rotation, mesures invariantes et ratio set des homéomorphismes affines par morceaux du cercle”

Marches en milieu aléatoire et mesures quasi-invariantes pour un système dynamique

Jean-Pierre Conze, Yves Guivarc'h (2000)

Colloquium Mathematicae

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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.