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• W2016287918 abstract "We consider random walks in a random environment that is given by i.i.d. Dirichlet distributions at each vertex of Z^d or, equivalently, oriented edge reinforced random walks on Z^d. The parameters of the distribution are a 2d-uplet of positive real numbers indexed by the unit vectors of Z^d. We prove that, as soon as these weights are nonsymmetric, the random walk in this random environment is transient in a direction with positive probability. In dimension 2, this result can be strenghened to an almost sure directional transience thanks to the 0-1 law from [ZM01]. Our proof relies on the property of stability of Dirichlet environment by time reversal proved in [Sa09]. In a first part of this paper, we also give a probabilistic proof of this property as an alternative to the change of variable computation used in that article." @default.
• W2016287918 created "2016-06-24" @default.
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• W2016287918 date "2011-02-01" @default.
• W2016287918 modified "2023-10-02" @default.
• W2016287918 title "Reversed Dirichlet environment and directional transience of random walks in Dirichlet environment" @default.
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• W2016287918 doi "https://doi.org/10.1214/09-aihp344" @default.
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