3 papers
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
Interacting vertex reinforced random walks on complete sub-graphs
Fernando P. A. Prado, Rafael A. Rosales
This article introduces a model for interacting vertex-reinforced random walks, each taking values on a complete subgraph of a locally finite undirected graph. The transition proba…
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…