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oaioai:pure.tue.nl:openaire_cris_publications/c4610b8d-6055-4d28-9f2d-62c279036828

Linearly edge-reinforced random walks

Authors
Publication date
1 January 2006
Publisher
Institute of Mathematical Statistics
Doi

    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

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