26 citations · 26 across the 4 of their papers we have counts for
3 papers · 1 filter
Ergodicity of a system of interacting random walks with asymmetric interaction
Luisa Andreis, Amine Asselah, Paolo Dai Pra
We study N interacting random walks on the positive integers. Each particle has drift δ towards infinity, a reflection at the origin, and a drift towards particles with lower posit…
A Curie-Weiss model with dissipation
Paolo Dai Pra, Markus Fischer, Daniele Regoli
We consider stochastic dynamics for a spin system with mean field interaction, in which the interaction potential is subject to noisy and dissipative stochastic evolution. We show…
A simple mean field model for social interactions: dynamics, fluctuations, criticality
Francesca Collet, Paolo Dai Pra, Elena Sartori
We study the dynamics of a spin-flip model with a mean field interaction. The system is non reversible, spacially inhomogeneous, and it is designed to model social interactions. We…