A mean-field approach to self-interacting networks, convergence and regularity
Rémi Catellier, Yves D’Angelo, Cristiano Ricci
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Source: Crossref
Published: Nov 1, 2021
DOI: 10.1142/s0218202521500573
Open original source ↗Source abstract
The propagation of chaos property for a system of interacting particles, describing the spatial evolution of a network of interacting filaments is studied. The creation of a network of mycelium is analyzed as representative case, and the generality of the modeling choices are discussed. Convergence of the empirical density for the particle system to its mean-field limit is proved, and a result of regularity for the solution is presented.
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