Sticky dispersion on the complete graph: a kinetic approach

Fei Cao; Sebastien Motsch

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arXiv · 2404.08868

Sticky dispersion on the complete graph: a kinetic approach

Fei Cao·Sebastien Motsch

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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.

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Fei Cao, Sebastien Motsch. 2024-04-13. Sticky dispersion on the complete graph: a kinetic approach. https://arxiv.org/abs/2404.08868

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