A mean-field approach to self-interacting networks, convergence and regularity-Reference-Cited by-同舟云学术

A mean-field approach to self-interacting networks, convergence and regularity

Published:2021-11 Issue:13 Volume:31 Page:2597-2641
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

Catellier Rémi¹,D’Angelo Yves¹,Ricci Cristiano²

Affiliation:

1. Université Côte d’Azur, INRIA, CNRS, LJAD, Nice, France

2. Scuola Normale Superiore, Pisa, Italy

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.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202521500573

Reference28 articles.

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2. Dynamical Processes on Complex Networks

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5. Modelling hyphal networks

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