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Uniqueness of the mixing measure for a random walk in a random environment on the positive integers
random walk random environment
2009/4/22
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 applic...
Central Limit Theorem For The Excited Random Walk In Dimension d≥2
central limit theorem random walk law
2009/3/30
We prove that a law of large numbers and a central limit theorem hold for the excited random walk model in every dimension d≥2