# 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.

### 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?

#### 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?

#### 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?

#### 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?

#### 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

#### 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?

#### 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?

#### 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?