Article ID Journal Published Year Pages File Type
5130068 Stochastic Processes and their Applications 2017 27 Pages PDF
Abstract

We prove a law of large numbers for certain random walks on certain attractive dynamic random environments when initialised from all sites equal to the same state. This result applies to random walks on Zd with d≥1. We further provide sufficient mixing conditions under which the assumption on the initial state can be relaxed, and obtain estimates on the large deviation behaviour of the random walk.As prime example we study the random walk on the contact process, for which we obtain a law of large numbers in arbitrary dimension. For this model, further properties about the speed are derived.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)
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