Multi-particle processes with reinforcements

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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.
12 pages

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Probability, 60K37, 60K35

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http://salesiana.dossiersoluciones.com/handle/123456789/99521

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0407006
 http://arxiv.org/abs/math/0407006

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arXiv