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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| Médium: | Journal article |
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2011
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