Biased random walks on random graphs

Gerard Ben Arous; Alexander Fribergh

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arXiv · 1406.5076

Biased random walks on random graphs

Gerard Ben Arous·Alexander Fribergh

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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 $d\geq 2$.

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Gerard Ben Arous, Alexander Fribergh. 2014-06-19. Biased random walks on random graphs. https://arxiv.org/abs/1406.5076

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