Y. Derriennic


Titre: "Random walks with jumps in random environments (examples of cycle and weight representations)"


Abstract: For recurrent or transient Markov chains, when the reversibility is verified, it is an essential feature. When reversibility is absent, a representation by cycles and weights may still exist and be very useful. In this paper we shall develop this idea in the study of non homogeneous random walks on the integers, with steps +2 or -1. For such random walks in ergodic random environment, our study will yield a criterion of recurrence or transience.

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