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Behavior of 1-dimensional reinforced random walk

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Publication:1581879
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zbMath0962.60017MaRDI QIDQ1581879

Masaki Takeshima

Publication date: 1 June 2001

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

asymptotic behaviorreinforced random walkrecurrence of a walkweight processes


Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10)


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Recurrence and transience preservation for vertex reinforced jump processes in one dimension ⋮ Scaling limit of linearly edge-reinforced random walks on critical Galton-Watson trees ⋮ Large deviations in the reinforced random walk model on trees ⋮ Almost sure behavior of linearly edge-reinforced random walks on the half-line ⋮ An asymptotic result for Brownian polymers ⋮ Phase transitions for edge-reinforced random walks on the half-line



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