Large deviations for one-dimensional random walks on discrete point processes

Lingjiong Zhu

doi:10.1016/j.spl.2014.11.008

Large deviations for one-dimensional random walks on discrete point processes

Lingjiong Zhu

School of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	69-75
Number of pages	7
Journal	Statistics and Probability Letters
Volume	97
DOIs	https://doi.org/10.1016/j.spl.2014.11.008
State	Published - Feb 1 2015

Bibliographical note

Publisher Copyright:
© 2014 Elsevier B.V.

Keywords

Discrete point processes
Large deviations
Random walks in random environment

Publisher link

10.1016/j.spl.2014.11.008

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JO - Statistics and Probability Letters

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Large deviations for one-dimensional random walks on discrete point processes

Abstract

Bibliographical note

Keywords

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