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math.PR2026
Reinforced random walks with geometric inter-transition times
Mirela G. Coelho, Fernando P. A. Prado
We consider interacting vertex-reinforced random walks on a finite graph, each transitioning according to independent geometric holding times of parameter . Letting…
math.PR2026
The Clark-Kushner condition for interacting reinforced random walks on finite graphs
Fernando P. A. Prado, Rafael A. Rosales
We establish the Clark-Kushner condition for a large class of interacting vertex-reinforced random walks on finite graphs, where the transition matrix of each walk depends…