Uniqueness of the mixing measure for a random walk in a random environment on the positive integers
Maren Eckhoff, Technical University of Munich
Silke W.W. Rolles, Technical University of Munich
Abstract
Consider a random walk in an irreducible random environment on the positive
integers. We prove that the annealed law of the random
walk determines uniquely the law of the random environment. An
application to linearly edge-reinforced random walk is given.
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