Sticky dispersion on the complete graph: a kinetic approach
Probability
2024-04-16 v1
Abstract
We study a variant of the dispersion process on the complete graph introduced in the recent work [17] under the mean-field framework. We adopt a kinetic perspective (as opposed to the probabilistic approach taken in [17] and many other related works) thanks to the reinterpretation of the model in terms of a novel econophysics model. Various analytical and quantitative results regarding the large time behaviour of the mean-field dynamics are obtained and supporting numerical illustrations are provided.
Cite
@article{arxiv.2404.08868,
title = {Sticky dispersion on the complete graph: a kinetic approach},
author = {Fei Cao and Sebastien Motsch},
journal= {arXiv preprint arXiv:2404.08868},
year = {2024}
}
Comments
32 pages, 7 figures