Sticky dispersion on the complete graph: a kinetic approach
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866914753565163520 |
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| author | Cao, Fei Motsch, Sebastien |
| author_facet | Cao, Fei Motsch, Sebastien |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_08868 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Sticky dispersion on the complete graph: a kinetic approach Cao, Fei Motsch, Sebastien Probability 82C22, 82C31, 35Q91, 91B80 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. |
| title | Sticky dispersion on the complete graph: a kinetic approach |
| topic | Probability 82C22, 82C31, 35Q91, 91B80 |
| url | https://arxiv.org/abs/2404.08868 |