Rafael A. Rosales

collaborators

3 papers

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 $Q^{i} (x)$ of each walk depends…

math.PR2024

Multiple colour interacting urns on complete graphs

Benito Pires, Rafael A. Rosales

We present a multiple colour generalisation of the model of graph interacting urns studied by Benaim et. al., Random Struct. Alg., 46: 614-634, 2015. We show that for complete grap…