Local limit theorem and equivalence of dynamic and static points of view for certain ballistic random walks in I.I.D. environments

Noam Berger; Moran Cohen; Ron Rosenthal

doi:10.1214/15-AOP1038

Local limit theorem and equivalence of dynamic and static points of view for certain ballistic random walks in I.I.D. environments

Noam Berger, Moran Cohen, Ron Rosenthal

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

Abstract

In this work, we discuss certain ballistic random walks in random environments on Z^d, and prove the equivalence between the static and dynamic points of view in dimension d ≥ 4. Using this equivalence, we also prove a version of a local limit theorem which relates the local behavior of the quenched and annealed measures of the random walk by a prefactor.

Original language	English
Pages (from-to)	2889-2979
Number of pages	91
Journal	Annals of Probability
Volume	44
Issue number	4
DOIs	https://doi.org/10.1214/15-AOP1038
State	Published - 2016
Externally published	Yes

Keywords

Ballisticity
Equivalence of static and dynamic points of view
Random walks in random environments

All Science Journal Classification (ASJC) codes

Statistics and Probability
Statistics, Probability and Uncertainty

Access to Document

10.1214/15-AOP1038

Cite this

@article{8d20a1c8bda1415ea6c435c4bb46978c,

title = "Local limit theorem and equivalence of dynamic and static points of view for certain ballistic random walks in I.I.D. environments",

abstract = "In this work, we discuss certain ballistic random walks in random environments on Zd, and prove the equivalence between the static and dynamic points of view in dimension d ≥ 4. Using this equivalence, we also prove a version of a local limit theorem which relates the local behavior of the quenched and annealed measures of the random walk by a prefactor.",

keywords = "Ballisticity, Equivalence of static and dynamic points of view, Random walks in random environments",

author = "Noam Berger and Moran Cohen and Ron Rosenthal",

note = "Publisher Copyright: {\textcopyright} Institute of Mathematical Statistics, 2016.",

year = "2016",

doi = "10.1214/15-AOP1038",

language = "الإنجليزيّة",

volume = "44",

pages = "2889--2979",

journal = "Annals of Probability",

issn = "0091-1798",

publisher = "Institute of Mathematical Statistics",

number = "4",

}

TY - JOUR

T1 - Local limit theorem and equivalence of dynamic and static points of view for certain ballistic random walks in I.I.D. environments

AU - Berger, Noam

AU - Cohen, Moran

AU - Rosenthal, Ron

N1 - Publisher Copyright: © Institute of Mathematical Statistics, 2016.

PY - 2016

Y1 - 2016

N2 - In this work, we discuss certain ballistic random walks in random environments on Zd, and prove the equivalence between the static and dynamic points of view in dimension d ≥ 4. Using this equivalence, we also prove a version of a local limit theorem which relates the local behavior of the quenched and annealed measures of the random walk by a prefactor.

AB - In this work, we discuss certain ballistic random walks in random environments on Zd, and prove the equivalence between the static and dynamic points of view in dimension d ≥ 4. Using this equivalence, we also prove a version of a local limit theorem which relates the local behavior of the quenched and annealed measures of the random walk by a prefactor.

KW - Ballisticity

KW - Equivalence of static and dynamic points of view

KW - Random walks in random environments

UR - http://www.scopus.com/inward/record.url?scp=84986269107&partnerID=8YFLogxK

U2 - 10.1214/15-AOP1038

DO - 10.1214/15-AOP1038

M3 - مقالة

SN - 0091-1798

VL - 44

SP - 2889

EP - 2979

JO - Annals of Probability

JF - Annals of Probability

IS - 4

ER -

Local limit theorem and equivalence of dynamic and static points of view for certain ballistic random walks in I.I.D. environments

Abstract

Keywords

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this