Algebraically recurrent random walks on groups

Itai Benjamini; Hilary Finucane; Romain Tessera

doi:10.1214/ECP.v18-2519

Algebraically recurrent random walks on groups

Itai Benjamini
, Hilary Finucane
, Romain Tessera

Weizmann Institute of Science Israel
Massachusetts Institute of Technology
CNRS UMR 5669, 'Unité de Mathématiques Pures et Appliquées' and project-team Inria NUMED, Ecole Normale Supérieure de Lyon

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

Abstract

Initial steps are presented towards understanding which finitely generated groups are almost surely generated as a semigroup by the path of a random walk on the group.

Original language	English
Journal	Electronic Communications in Probability
Volume	18
DOIs	https://doi.org/10.1214/ECP.v18-2519
Publication status	Published - 22 Apr 2013
Externally published	Yes

Keywords

Random walks on groups
Recurrence/transience
Semi-groups

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10.1214/ECP.v18-2519

Cite this

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title = "Algebraically recurrent random walks on groups",

abstract = "Initial steps are presented towards understanding which finitely generated groups are almost surely generated as a semigroup by the path of a random walk on the group.",

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author = "Itai Benjamini and Hilary Finucane and Romain Tessera",

year = "2013",

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doi = "10.1214/ECP.v18-2519",

language = "English",

volume = "18",

journal = "Electronic Communications in Probability",

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AU - Benjamini, Itai

AU - Finucane, Hilary

AU - Tessera, Romain

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N2 - Initial steps are presented towards understanding which finitely generated groups are almost surely generated as a semigroup by the path of a random walk on the group.

AB - Initial steps are presented towards understanding which finitely generated groups are almost surely generated as a semigroup by the path of a random walk on the group.

KW - Random walks on groups

KW - Recurrence/transience

KW - Semi-groups

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DO - 10.1214/ECP.v18-2519

M3 - Article

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SN - 1083-589X

VL - 18

JO - Electronic Communications in Probability

JF - Electronic Communications in Probability

ER -

Algebraically recurrent random walks on groups

Abstract

Keywords

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