# Random Dirichlet environment viewed from the particle in dimension \$dge 3\$ - Mathematics > Probability

Random Dirichlet environment viewed from the particle in dimension \$dge 3\$ - Mathematics > Probability - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Abstract: We consider random walks in random Dirichlet environment RWDE which is aspecial type of random walks in random environment where the exit probabilitiesat each site are i.i.d. Dirichlet random variables. On \${\mathbb Z}^d\$, RWDEare parameterized by a 2d-uplet of positive reals called weights. In thispaper, we characterize for \$d\ge 3\$ the weights for which there exists anabsolutely continuous invariant probability for the process viewed from theparticle. We can deduce from this result and from 27 a complete descriptionof the ballistic regime for \$d\ge 3\$.

Autor: Christophe Sabot ICJ

Fuente: https://arxiv.org/