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Co-evolving vertex and edge dynamics in dense graphs

math.PR · 2025-04-08 · unverdicted · novelty 7.0

A co-evolving process of colored vertices and state-dependent edges in dense random graphs converges to a limiting Markov process on colored graphons, with Fisher-Wright diffusion for color densities and a color-dependent stochastic flow for edges.

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  • Co-evolving vertex and edge dynamics in dense graphs math.PR · 2025-04-08 · unverdicted · none · ref 27

    A co-evolving process of colored vertices and state-dependent edges in dense random graphs converges to a limiting Markov process on colored graphons, with Fisher-Wright diffusion for color densities and a color-dependent stochastic flow for edges.