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

Bruno Schapira (1)

1 LM-Orsay - Laboratoire de Mathématiques d'Orsay

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.

Mots clés: Self-interacting random walk; Reinforced Random Walk

Domaines: Probabilités [math.PR]

Bruno Schapira. LOCALIZATION ON 5 SITES FOR VERTEX REINFORCED RANDOM WALKS: TOWARDS A CHARACTERIZATION. 2019. ⟨hal-02127103v1⟩