Biased random walks on random graphs

Gerard Ben Arous; Alexander Fribergh

Biased random walks on random graphs

Mathematics

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

Abstract

These notes cover one of the topics programmed for the St Petersburg School in Probability and Statistical Physics of June 2012. The aim is to review recent mathematical developments in the field of random walks in random environment. Our main focus will be on directionally transient and reversible random walks on different types of underlying graph structures, such as $\mathbb{Z}$, trees and $\mathbb{Z}^d$ for $d\geq 2$.

Original language	Undefined
Journal	arXiv
State	Published - Jun 19 2014

Keywords

math.PR

Cite this

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title = "Biased random walks on random graphs",

abstract = "These notes cover one of the topics programmed for the St Petersburg School in Probability and Statistical Physics of June 2012. The aim is to review recent mathematical developments in the field of random walks in random environment. Our main focus will be on directionally transient and reversible random walks on different types of underlying graph structures, such as $\mathbb{Z}$, trees and $\mathbb{Z}^d$ for $d\geq 2$.",

keywords = "math.PR",

author = "Arous, {Gerard Ben} and Alexander Fribergh",

note = "Survey based one of the topics programmed for the St Petersburg School in Probability and Statistical Physics of June 2012. 64 pages, 16 figures",

year = "2014",

month = jun,

day = "19",

language = "Undefined",

journal = "arXiv",

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AU - Arous, Gerard Ben

AU - Fribergh, Alexander

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PY - 2014/6/19

Y1 - 2014/6/19

N2 - These notes cover one of the topics programmed for the St Petersburg School in Probability and Statistical Physics of June 2012. The aim is to review recent mathematical developments in the field of random walks in random environment. Our main focus will be on directionally transient and reversible random walks on different types of underlying graph structures, such as $\mathbb{Z}$, trees and $\mathbb{Z}^d$ for $d\geq 2$.

AB - These notes cover one of the topics programmed for the St Petersburg School in Probability and Statistical Physics of June 2012. The aim is to review recent mathematical developments in the field of random walks in random environment. Our main focus will be on directionally transient and reversible random walks on different types of underlying graph structures, such as $\mathbb{Z}$, trees and $\mathbb{Z}^d$ for $d\geq 2$.

KW - math.PR

M3 - Article

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JF - arXiv

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