Random Dirichlet environment viewed from the particle in dimension $dge 3$ - Mathematics > ProbabilityReportar como inadecuado




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/







Documentos relacionados