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Article Dans Une Revue The Annals of Applied Probability Année : 2021

LOCALIZATION ON 5 SITES FOR VERTEX REINFORCED RANDOM WALKS: TOWARDS A CHARACTERIZATION

Bruno Schapira
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Résumé

We continue the investigation of the localization phenomenon for a Vertex Reinforced Random Walk on the integer lattice. We provide some partial results towards a full characterization of the weights for which localization on 5 sites occurs with positive probability, and make some conjecture concerning the almost sure behavior.
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Dates et versions

hal-02127103 , version 1 (13-05-2019)
hal-02127103 , version 2 (20-10-2020)

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Bruno Schapira. LOCALIZATION ON 5 SITES FOR VERTEX REINFORCED RANDOM WALKS: TOWARDS A CHARACTERIZATION. The Annals of Applied Probability, 2021, 31, pp.1774--1786. ⟨hal-02127103v2⟩
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