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|Type:||Artigo de periódico|
|Title:||Random walk attracted by percolation clusters|
|Abstract:||Starting with a percolation model in Z(d) in the subcritical regime, we consider a random walk described as follows: the probability of transition from x to y is proportional to some function f of the size of the cluster of y. This function is supposed to be increasing, so that the random walk is attracted by bigger clusters. For f(t) = e(beta t) we prove that there is a phase transition in beta, i.e., the random walk is subdiffusive for large beta and is diffusive for small beta.|
|Editor:||Univ Washington, Dept Mathematics|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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