Research

Research interests

My ongoing research focuses on probability theory and statistical mechanics. My main interests are:

• Interacting particle systems on co-evolving random graphs

• Dynamic random graphs

• Metastability for interacting particle systems

Publications

1. SB, N. Kriukov, Functional central limit theorem for the subgraph count of the voter model on dynamic random graphs, Preprint at arXiv:2503.11541, To appear in Bernoulli (2026+)

2. SB, A. Cipriani, Grassmannian calculus for probability, Ensaios Matemáticos, https://ensaios.sbm.org.br/volume-41/  (2025)

3. SB, J. Wang, Parameter estimation in interacting particle systems on dynamic random networks, Physical Review E, journals.aps.org/pre/abstract/10.1103/k8cr-vkkf (2025).

4. SB, V. Jacquier, A. Zocca, Critical configurations of the hard-core model on square grid graphs,  Combinatorics, Probability and Computing, doi:10.1017/S096354832500001X (2025)

5. SB, A. Gaudillière, F. den Hollander, F. R. Nardi, E. Olivieri, E. Scoppola, Droplet dynamics in a two-dimensional rarefied gas under Kawasaki dynamics, Stochastic Processes and their Applications, doi.org/10.1016/j.spa.2024.104460  (2024)

6. SB, A. Gallo, V. Jacquier, A. Zocca, Ising model on clustered networks: A model for opinion dynamics, Physica A: Statistical Mechanics and its Applications, https://www.sciencedirect.com/science/article/pii/S0378437123003667  (2023)

7. SB, V. Jacquier, Metastability for Kawasaki dynamics on the hexagonal lattice, Journal of Statistical Physics, https://doi.org/10.1007/s10955-022-03061-8  (2023)

8. SB, G. Bet, Asymptotic normality of degree counts in a general preferential attachment model, Markov Processes and Related Fields, http://math-mprf.org/journal/articles/id1649/ (2022)

9. SB, F. R. Nardi, Critical Droplets and sharp asymptotics for Kawasaki dynamics with weakly anisotropic interactions, Stochastic Processes and their Applications, doi.org/10.1016/j.spa.2022.01.011  (2022)

10. SB, F. R. Nardi, Critical Droplets and sharp asymptotics for Kawasaki dynamics with strongly anisotropic interactions, Journal of Statistical Physics, https://doi.org/10.1007/s10955-022-02874-x (2022)

11. SB, F. R. Nardi, Metastability in a lattice gas with strong anisotropic interactions under Kawasaki dynamics, Electronic Journal of Probability, https://doi.org/10.1214/21-EJP701 (2021)

Preprints

1. SB, M.C. de Jongh, Optimal strategies for controlled growth in metastable Kawasaki dynamics, Preprint at arXiv:2603.18903 (2026)

2. SB, P. Braunsteins, F. den Hollander, M. Mandjes,  Infection models on dense dynamic random graphs, Preprint at arXiv:2602.14562 (2026)

3. SB, V. Jacquier, A. Zocca, Metastable opinion dynamics with hidden preferences: an Ising model with neutral agents, Preprint at arXiv:2601.05714 (2026)

4. SB, P. Braunsteins, F. den Hollander, M. Mandjes,  Opinion dynamics on dense dynamic random graphs, Preprint at arXiv:2410.14618 (2024)

5. SB, A. Gaudillière, F. den Hollander, F. R. Nardi, E. Olivieri, E. Scoppola, Homogeneous nucleation for two-dimensional Kawasaki dynamics , Preprint at arXiv:2406.02099 (2024)

Thesis

1. SB, Low temperature metastability studies, PhD Thesis Università degli Studi di Firenze and Aix-Marseille Universitè (2023)

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