DYNAMICS OF VERTEX-REINFORCED RANDOM WALKS

DYNAMICS OF VERTEX-REINFORCED RANDOM WALKS

We generalize a result from Volkov [Ann. Probab. 29 (2001) 66-91] and prove that, on a large class of locally finite connected graphs of bounded degree (G, ~) and symmetric reinforcement matrices a = (a i,j ) i,j∈G, the vertex-reinforced random walk (VRRW) eventually localizes with positive probabil...

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Príomhchruthaitheoirí:	Benaim, M, Tarres, P
Formáid:	Journal article
Foilsithe / Cruthaithe:	2011

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