Sticky dispersion on the complete graph: a kinetic approach
arxiv(2024)
摘要
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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