Localization on 5 sites for vertex reinforced random walks: Towards a characterization
Probability
2020-10-26 v2
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.
Cite
@article{arxiv.1905.05974,
title = {Localization on 5 sites for vertex reinforced random walks: Towards a characterization},
author = {Bruno Schapira},
journal= {arXiv preprint arXiv:1905.05974},
year = {2020}
}
Comments
14 pages, Revised version. Accepted to Ann. Appl. Probab