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 

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@article{235eab4845b94fe9b2ca3fe198f56ef5,
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",
}
TY  JOUR
T1  Biased random walks on random graphs
AU  Arous, Gerard Ben
AU  Fribergh, Alexander
N1  Survey based one of the topics programmed for the St Petersburg School in Probability and Statistical Physics of June 2012. 64 pages, 16 figures
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
JO  arXiv
JF  arXiv
ER 