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Type: Artigo de periódico
Title: On recurrence and transience of self-interacting random walks
Author: Peres, Y
Popov, S
Sousi, P
Abstract: Let A mu(1),...,A mu (k) be d-dimensional probabilitymeasures in a'e (d) with mean 0. At each time we choose one of the measures based on the history of the process and take a step according to that measure. We give conditions for transience of such processes and also construct examples of recurrent processes of this type. In particular, in dimension 3 we give the complete picture: every walk generated by two measures is transient and there exists a recurrent walk generated by three measures.
Subject: transience
Lyapunov function
Country: EUA
Editor: Springer
Rights: fechado
Identifier DOI: 10.1007/s00574-013-0036-4
Date Issue: 2013
Appears in Collections:Unicamp - Artigos e Outros Documentos

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