Localization on 5 sites for vertex reinforced random walks: Towards a characterization
arXiv:1905.05974
Abstract
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.
14 pages, Revised version. Accepted to Ann. Appl. Probab