Asymptotic behavior of interacting particle systems

Studying hitting and mixing times for interacting particle systems with stochastic evolutions and finite volume.

Collaborators: Simone Baldassarri, Anna Gallo, Vanessa Jacquier, Gianmarco Bet, Francesca Nardi

See below for the list of related publications and preprints.

Probability Theory Statistical Physics Large Deviations Graph Theory
Alessandro Zocca
Alessandro Zocca
Tenured Assistant Professor

Related

Publications

Critical configurations of the hard-core model on square grid graphs (2023)

S. Baldassarri, V. Jacquier, A. Zocca Submitted to Combinatorics, Probability and Computing
How do the transition between stable states most likely happen for the hard-core model?
arXiv preprint PDF BibTeX

Ising model on clustered networks: A model for opinion dynamics (2023)

S. Baldassarri, A. Gallo, V. Jacquier, A. Zocca Physica A: Statistical Mechanics and its Applications
How long does it take for dense communities to change opinion?
arXiv preprint PDF DOI bib

Tunneling behavior of Ising and Potts models in the low-temperature regime (2019)

F.R. Nardi, A. Zocca Stochastic Processes and their Applications
How does this interacting particle system with multiple equilibria behave in the low-temperature limit?
arXiv preprint PDF DOI bib

Tunneling of the hard-core model on finite triangular lattices (2019)

A. Zocca Random Structures & Algorithms
How do the hitting and mixing times of this interacting particle system behave in the low-temperature limit?
arXiv preprint PDF DOI bib

Temporal starvation in multi-channel CSMA networks: An analytical framework (2019)

A. Zocca Queueing Systems
Seeking an optimal trade-off between throughput and delays in multi-channel (CSMA) random-access networks
arXiv preprint PDF DOI bib

Low-temperature behavior of the multicomponent Widom–Rowlison model on finite square lattices (2018)

A. Zocca Journal of Statistical Physics
How does the asymptotic tunneling between the two stable equilibria scale for this interacting particle system?
arXiv preprint PDF DOI bib

Hitting Time Asymptotics for Hard-Core Interactions on Grids (2016)

F.R. Nardi, A. Zocca, S.C. Borst Journal of Statistical Physics
How to expand the metastability theory to the case of multiple stable equilibria and how to apply to the finite-volume hard-core model?
arXiv preprint PDF DOI bib

Delay performance in random-access grid networks (2013)

A. Zocca, S.C. Borst, J.S.H. van Leeuwaarden, F.R. Nardi Performance Evaluation
How does temporal starvation in wireless networks scale with the network size?
arXiv preprint PDF DOI bib