The Erdos-Rényi-Shepp law of large numbers for ballistic random walk in random environment

Darcy Camargo; Yuri Kifer; Ofer Zeitouni

doi:10.1214/21-aihp1210

The Erdos-Rényi-Shepp law of large numbers for ballistic random walk in random environment

Darcy Camargo
, Yuri Kifer
, Ofer Zeitouni

Einstein Institute of Mathematics

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

Abstract

We consider a one dimensional ballistic nearest-neighbor random walk in a random environment. We prove an Erdos-Rényi-Shepp strong law for the increments.

Original language	English
Pages (from-to)	2347-2381
Number of pages	35
Journal	Annales de l'institut Henri Poincare (B) Probability and Statistics
Volume	58
Issue number	4
DOIs	https://doi.org/10.1214/21-aihp1210
State	Published - Nov 2022

Bibliographical note

Publisher Copyright:
© 2022 Association des Publications de l'Institut Henri Poincaré.

Keywords

Large deviations
Random walks
Strong limit theorems

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10.1214/21-aihp1210

Cite this

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title = "The Erdos-R{\'e}nyi-Shepp law of large numbers for ballistic random walk in random environment",

abstract = "We consider a one dimensional ballistic nearest-neighbor random walk in a random environment. We prove an Erdos-R{\'e}nyi-Shepp strong law for the increments.",

keywords = "Large deviations, Random walks, Strong limit theorems",

author = "Darcy Camargo and Yuri Kifer and Ofer Zeitouni",

note = "Publisher Copyright: {\textcopyright} 2022 Association des Publications de l'Institut Henri Poincar{\'e}.",

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N2 - We consider a one dimensional ballistic nearest-neighbor random walk in a random environment. We prove an Erdos-Rényi-Shepp strong law for the increments.

AB - We consider a one dimensional ballistic nearest-neighbor random walk in a random environment. We prove an Erdos-Rényi-Shepp strong law for the increments.

KW - Large deviations

KW - Random walks

KW - Strong limit theorems

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The Erdos-Rényi-Shepp law of large numbers for ballistic random walk in random environment

Abstract

Bibliographical note

Keywords

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