Berger and Rosenthal introduced a random walk model on discrete point processes, that is, a simple random walk defined on a random subset of Zd. In this article, we study both the quenched and the annealed large deviations for the one-dimensional case. Their rate functions are linked via a variational formula, analogous to the classical one-dimensional random walk in random environment.
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© 2014 Elsevier B.V.
- Discrete point processes
- Large deviations
- Random walks in random environment