Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5130068 | Stochastic Processes and their Applications | 2017 | 27 Pages |
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 dâ¥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.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Stein Andreas Bethuelsen, Markus Heydenreich,