Long-term stability of interacting Hawkes processes on random graphs

DOI10.1214/23-ejp1006zbMath1530.05164arXiv2207.13942MaRDI QIDQ6136834

Zoé Agathe-Nerine

Publication date: 17 January 2024

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.13942

zbMATH Keywords

mean-field systemsneural field equationspatially extended systemmultivariate nonlinear Hawkes processes\(W\)-random graph

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Convolution as an integral transform (44A35) Neural networks for/in biological studies, artificial life and related topics (92B20) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

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