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2019 Arbitrary many walkers meet infinitely often in a subballistic random environment
Alexis Devulder, Nina Gantert, Françoise Pène
Electron. J. Probab. 24: 1-25 (2019). DOI: 10.1214/19-EJP344

Abstract

We consider $d$ independent walkers in the same random environment in $ \mathbb{Z} $. Our assumption on the law of the environment is such that a single walker is transient to the right but subballistic. We show that — no matter what $d$ is — the $d$ walkers meet infinitely often, i.e. there are almost surely infinitely many times for which all the random walkers are at the same location.

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Alexis Devulder. Nina Gantert. Françoise Pène. "Arbitrary many walkers meet infinitely often in a subballistic random environment." Electron. J. Probab. 24 1 - 25, 2019. https://doi.org/10.1214/19-EJP344

Information

Received: 30 November 2018; Accepted: 17 July 2019; Published: 2019
First available in Project Euclid: 18 September 2019

zbMATH: 07107384
MathSciNet: MR4017118
Digital Object Identifier: 10.1214/19-EJP344

Subjects:
Primary: 60G50, 60K37

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