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20242026
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math.PR2026

Functional central limit theorem for the subgraph count of the voter model on dynamic random graphs

Simone Baldassarri, Nikolai Kriukov

In this paper we consider two-opinion voter models on dynamic random graphs, in which the joint dynamics of opinions and graphs acts as one-way feedback, i.e., edges appear and dis…

math.PR2026

Infection models on dense dynamic random graphs

Simone Baldassarri, Peter Braunsteins, Frank den Hollander +1

We consider Susceptible-Infected-Recovered (SIR) models on dense dynamic random graphs, in which the joint dynamics of vertices and edges are co-evolutionary, i.e., they influence…

math.PR2026

Metastable opinion dynamics with hidden preferences: an Ising model with neutral agents

Simone Baldassarri, Vanessa Jacquier, Alessandro Zocca

We introduce a new Ising-type framework for opinion dynamics that explicitly separates private preferences from publicly expressed binary opinions and naturally incorporates neutra…

math.PR2025

Homogeneous nucleation for two-dimensional Kawasaki dynamics

Simone Baldassarri, Alexandre Gaudillière, Frank den Hollander +3

This is the third in a series of three papers in which we study a lattice gas subject to Kawasaki dynamics at inverse temperature in a large finite box $Λ_β\subset \mathbb…

math.PR2025

Parameter estimation in interacting particle systems on dynamic random networks

Simone Baldassarri, Jiesen Wang

In this paper we consider a class of interacting particle systems on dynamic random networks, in which the joint dynamics of vertices and edges acts as one-way feedback, i.e., edge…

math.PR2024

Opinion dynamics on dense dynamic random graphs

Simone Baldassarri, Peter Braunsteins, Frank den Hollander +1

We consider two-opinion voter models on dense dynamic random graphs. Our goal is to understand and describe the occurrence of consensus versus polarisation over long periods of tim…