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Multi-particle processes with reinforcements

Yevgeniy Kovchegov
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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.

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Yevgeniy Kovchegov. 2006-12-10. Multi-particle processes with reinforcements. https://arxiv.org/abs/math/0407006

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