Multi-particle processes with reinforcements
Probability
2007-05-23 v2
Abstract
We consider a multi-particle generalization of linear edge-reinforced random walk (ERRW). We observe that in absence of exchangeability, new techniques are needed in order to study the multi-particle model. We describe an unusual coupling construction associated with the two-point edge-reinforced process on Z and prove a form of recurrence: the two particles meet infinitely often a.s.
Cite
@article{arxiv.math/0407006,
title = {Multi-particle processes with reinforcements},
author = {Yevgeniy Kovchegov},
journal= {arXiv preprint arXiv:math/0407006},
year = {2007}
}
Comments
12 pages