@inbook{c4610b8d60554d289f2d62c279036828,
title = "Linearly edge-reinforced random walks",
abstract = "We review results on linearly edge-reinforced random walks. On finite graphs, the process has the same distribution as a mixture of reversible Markov chains. This has applications in Bayesian statistics and it has been used in studying the random walk on infinite graphs. On trees, one has a representation as a random walk in an independent random environment. We review recent results for the random walk on ladders: recurrence, a representation as a random walk in a random environment, and estimates for the position of the random walker.",
author = "F. Merkl and S.W.W. Rolles",
year = "2006",
doi = "10.1214/074921706000000103",
language = "English",
series = "IMS Lecture Notes-Monograph Series",
publisher = "Institute of Mathematical Statistics",
pages = "66--77",
editor = "D. Denteneer and {Hollander, den}, F. and E. Verbitskiy",
booktitle = "Dynamics and Stochastics : Festschrift in the honor of Michael Keane",
address = "United States",
}