Biased random walks on random graphs

Gerard Ben Arous; Alexander Fribergh

Biased random walks on random graphs

Probability 2014-06-20 v1

Authors: Gerard Ben Arous , Alexander Fribergh

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

random walk on graphs random walk in random environment random walks

Cite

@article{arxiv.1406.5076,
  title  = {Biased random walks on random graphs},
  author = {Gerard Ben Arous and Alexander Fribergh},
  journal= {arXiv preprint arXiv:1406.5076},
  year   = {2014}
}

Comments

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

Biased random walks on random graphs

Abstract

Keywords

Cite

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