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Random Dirichlet environment viewed from the particle in dimension $dge 3$

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 نشر من قبل Christophe Sabot
 تاريخ النشر 2010
  مجال البحث
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 تأليف Christophe Sabot




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We consider random walks in random Dirichlet environment (RWDE) which is a special type of random walks in random environment where the exit probabilities at each site are i.i.d. Dirichlet random variables. On ${mathbb Z}^d$, RWDE are parameterized by a 2d-uplet of positive reals called weights. In this paper, we characterize for $dge 3$ the weights for which there exists an absolutely continuous invariant probability for the process viewed from the particle. We can deduce from this result and from [27] a complete description of the ballistic regime for $dge 3$.



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