Une marche excité équilibrée

Itai Benjamini; Gady Kozma; Bruno Schapira

doi:https://doi.org/10.1016/j.crma.2011.02.018

Une marche excité équilibrée

Translated title of the contribution: A balanced excited random walk

Itai Benjamini, Gady Kozma, Bruno Schapira

Department of Mathematics

Weizmann Institute of Science

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

Abstract

The following random process on Z⁴ is studied. At first visit to a site, the two first coordinates perform a (2-dimensional) simple random walk step. At further visits, it is the last two coordinates which perform a simple random walk step. We prove that this process is almost surely transient. The lower dimensional versions are discussed and various generalizations and related questions are proposed.

Translated title of the contribution	A balanced excited random walk
Original language	French
Pages (from-to)	459-462
Number of pages	4
Journal	Comptes Rendus Mathematique
Volume	349
Issue number	7-8
DOIs	https://doi.org/10.1016/j.crma.2011.02.018
State	Published - Apr 2011

All Science Journal Classification (ASJC) codes

General Mathematics

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https://doi.org/10.1016/j.crma.2011.02.018

Cite this

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title = "Une marche excit{\'e} {\'e}quilibr{\'e}e",

abstract = "The following random process on Z4 is studied. At first visit to a site, the two first coordinates perform a (2-dimensional) simple random walk step. At further visits, it is the last two coordinates which perform a simple random walk step. We prove that this process is almost surely transient. The lower dimensional versions are discussed and various generalizations and related questions are proposed.",

author = "Itai Benjamini and Gady Kozma and Bruno Schapira",

year = "2011",

month = apr,

doi = "https://doi.org/10.1016/j.crma.2011.02.018",

language = "الفرنسيّة",

volume = "349",

pages = "459--462",

number = "7-8",

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TY - JOUR

T1 - Une marche excité équilibrée

AU - Benjamini, Itai

AU - Kozma, Gady

AU - Schapira, Bruno

PY - 2011/4

Y1 - 2011/4

N2 - The following random process on Z4 is studied. At first visit to a site, the two first coordinates perform a (2-dimensional) simple random walk step. At further visits, it is the last two coordinates which perform a simple random walk step. We prove that this process is almost surely transient. The lower dimensional versions are discussed and various generalizations and related questions are proposed.

AB - The following random process on Z4 is studied. At first visit to a site, the two first coordinates perform a (2-dimensional) simple random walk step. At further visits, it is the last two coordinates which perform a simple random walk step. We prove that this process is almost surely transient. The lower dimensional versions are discussed and various generalizations and related questions are proposed.

UR - http://www.scopus.com/inward/record.url?scp=79954845011&partnerID=8YFLogxK

U2 - https://doi.org/10.1016/j.crma.2011.02.018

DO - https://doi.org/10.1016/j.crma.2011.02.018

M3 - مقالة

SN - 1631-073X

VL - 349

SP - 459

EP - 462

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

IS - 7-8

ER -

Une marche excité équilibrée

Abstract

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