Excited random walk against a wall

Gideon Amir; Itai Benjamini; Gady Kozma

doi:10.1007/s00440-007-0058-1

Excited random walk against a wall

Gideon Amir, Itai Benjamini, Gady Kozma

Weizmann Institute of Science

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

7 Scopus citations

Abstract

We analyze random walk in the upper half of a three-dimensional lattice which goes down whenever it encounters a new vertex, a.k.a. excited random walk. We show that it is recurrent with an expected number of returns of √log t.

Original language	English
Pages (from-to)	83-102
Number of pages	20
Journal	Probability Theory and Related Fields
Volume	140
Issue number	1-2
DOIs	https://doi.org/10.1007/s00440-007-0058-1
State	Published - Jan 2008
Externally published	Yes

Funding

Funders	Funder number
Directorate for Mathematical and Physical Sciences	0111298

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https://link.springer.com/content/pdf/10.1007/s00440-007-0058-1.pdf

Cite this

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Excited random walk against a wall

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