Multiple colour interacting urns on complete graphs
Probability
2025-05-29 v3
Abstract
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 graphs and for a broad class of reinforcement functions governing the addition of balls in the urns, the process of colour proportions at each urn converges almost surely to the fixed points of the reinforcement function.
Keywords
Cite
@article{arxiv.2212.09397,
title = {Multiple colour interacting urns on complete graphs},
author = {Benito Pires and Rafael A. Rosales},
journal= {arXiv preprint arXiv:2212.09397},
year = {2025}
}
Comments
15 pages, 1 figure, new version of the introduction