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
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U2 - 10.1016/j.spl.2014.11.008
DO - 10.1016/j.spl.2014.11.008
M3 - Article
AN - SCOPUS:84913593595
SN - 0167-7152
VL - 97
SP - 69
EP - 75
JO - Statistics and Probability Letters
JF - Statistics and Probability Letters
ER -