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

Volume 84 / 2000

Jean-Pierre Conze, Yves Guivarc'h 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.

Authors

  • Jean-Pierre Conze
  • Yves Guivarc'h

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