Multi-particle processes with reinforcements

Details Multi-particle processes with reinforcements Multi-particle processes with reinforcements

2004-06-30

arxiv.org/abs/math/0407006v2

Mathematics

Probability

12 pages

Scientific paper

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.

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