Showing math.PRShow all
3 papers · 1 filter
math.PR2019
Oscillatory behavior in a model of non-Markovian mean field interacting spins
Paolo Dai Pra, Marco Formentin, Guglielmo Pelino
We analyze a non-Markovian mean field interacting spin system, related to the Curie--Weiss model. We relax the Markovianity assumption by replacing the memoryless distribution of t…
math.PR2017
The dynamics of critical fluctuations in asymmetric Curie-Weiss models
Paolo Dai Pra, Daniele Tovazzi
We study the dynamics of fluctuations at the critical point for two time-asymmetric version of the Curie-Weiss model for spin systems that, in the macroscopic limit, undergo a Hopf…
math.PR2015
Collective periodicity in mean-field models of cooperative behavior
Francesca Collet, Paolo Dai Pra, Marco Formentin
We propose a way to break symmetry in stochastic dynamics by introducing a dissipation term. We show in a specific mean-field model, that if the reversible model undergoes a phase…