The speed of biased random walk on percolation clusters

Noam Berger; Nina Gantert; Yuval Peres

doi:10.1007/s00440-003-0258-2

The speed of biased random walk on percolation clusters

Noam Berger
, Nina Gantert
, Yuval Peres

Associate Professorship of Stochastic Processes

University of Karlsruhe

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

52 Scopus citations

Abstract

We consider biased random walk on supercritical percolation clusters in ℤ². We show that the random walk is transient and that there are two speed regimes: If the bias is large enough, the random walk has speed zero, while if the bias is small enough, the speed of the random walk is positive.

Original language	English
Pages (from-to)	221-242
Number of pages	22
Journal	Probability Theory and Related Fields
Volume	126
Issue number	2
DOIs	https://doi.org/10.1007/s00440-003-0258-2
State	Published - Jun 2003

Keywords

Percolation
Random walk

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10.1007/s00440-003-0258-2

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title = "The speed of biased random walk on percolation clusters",

abstract = "We consider biased random walk on supercritical percolation clusters in ℤ2. We show that the random walk is transient and that there are two speed regimes: If the bias is large enough, the random walk has speed zero, while if the bias is small enough, the speed of the random walk is positive.",

keywords = "Percolation, Random walk",

author = "Noam Berger and Nina Gantert and Yuval Peres",

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T1 - The speed of biased random walk on percolation clusters

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AU - Gantert, Nina

AU - Peres, Yuval

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AB - We consider biased random walk on supercritical percolation clusters in ℤ2. We show that the random walk is transient and that there are two speed regimes: If the bias is large enough, the random walk has speed zero, while if the bias is small enough, the speed of the random walk is positive.

KW - Percolation

KW - Random walk

UR - https://www.scopus.com/pages/publications/0038648289

U2 - 10.1007/s00440-003-0258-2

DO - 10.1007/s00440-003-0258-2

M3 - Article

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VL - 126

SP - 221

EP - 242

JO - Probability Theory and Related Fields

JF - Probability Theory and Related Fields

IS - 2

ER -

The speed of biased random walk on percolation clusters

Abstract

Keywords

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