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|Type:||Artigo de periódico|
|Title:||On recurrence and transience of self-interacting random walks|
|Abstract:||Let A mu(1),...,A mu (k) be d-dimensional probabilitymeasures in a'e (d) with mean 0. At each time we choose one of the measures based on the history of the process and take a step according to that measure. We give conditions for transience of such processes and also construct examples of recurrent processes of this type. In particular, in dimension 3 we give the complete picture: every walk generated by two measures is transient and there exists a recurrent walk generated by three measures.|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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