TY - JOUR

T1 - Large deviations for one-dimensional random walks on discrete point processes

AU - Zhu, Lingjiong

N1 - Publisher Copyright:
© 2014 Elsevier B.V.

PY - 2015/2/1

Y1 - 2015/2/1

N2 - 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.

AB - 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.

KW - Discrete point processes

KW - Large deviations

KW - Random walks in random environment

UR - http://www.scopus.com/inward/record.url?scp=84913593595&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84913593595&partnerID=8YFLogxK

U2 - 10.1016/j.spl.2014.11.008

DO - 10.1016/j.spl.2014.11.008

M3 - Article

AN - SCOPUS:84913593595

VL - 97

SP - 69

EP - 75

JO - Statistics and Probability Letters

JF - Statistics and Probability Letters

SN - 0167-7152

ER -