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math.DS2025
Phase transitions for interacting particle systems on random graphs
Benedetta Bertoli, Grigorios A. Pavliotis, Niccolò Zagli
In this paper, we study weakly interacting diffusion processes on random graphs. Our main focus is on the properties of the mean-field limit and, in particular, on the nonuniquenes…
math.DS2025
Markov matrix perturbations to optimize dynamical and entropy functionals
Manuel Santos Gutierrez, Niccolo Zagli, Giulia Carigi
An important problem in applied dynamical systems is to compute the external forcing that provokes the largest response of a desired observable quantity. For this, we investigate t…