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math.PR2008
A class of non homogeneous self interacting random processes with applications to learning in games and vertex-reinforced random walks
Michel Benaim, Olivier Raimond
Using an approximation by a set-valued dynamical system, this paper studies a class of non Markovian and non homogeneous stochastic processes on a finite state space. It provides a…
math.PR2008
On some generalized reinforced random walks on integers
Olivier Raimond, Bruno Schapira
We consider Reinforced Random Walks where transition probabilities are a function of the proportion of times the walk has traversed an edge. We give conditions for recurrence or tr…