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2009 Uniqueness of the mixing measure for a random walk in a random environment on the positive integers
Maren Eckhoff, Silke Rolles
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Electron. Commun. Probab. 14: 31-35 (2009). DOI: 10.1214/ECP.v14-1441

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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Maren Eckhoff. Silke Rolles. "Uniqueness of the mixing measure for a random walk in a random environment on the positive integers." Electron. Commun. Probab. 14 31 - 35, 2009. https://doi.org/10.1214/ECP.v14-1441

Information

Accepted: 3 February 2009; Published: 2009
First available in Project Euclid: 6 June 2016

zbMATH: 1189.60189
MathSciNet: MR2472173
Digital Object Identifier: 10.1214/ECP.v14-1441

Subjects:
Primary: 60K37
Secondary: 60K35

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