4 papers · 1 filter
Completely Random Measures and Lévy Bases in Free probability
Francesca Collet, Fabrizio Leisen, Steen Thorbjørnsen
This paper develops a theory for completely random measures in the framework of free probability. A general existence result for free completely random measures is established, and…
Effects of local fields in a dissipative Curie-Weiss model: Bautin bifurcation and large self-sustained oscillations
Francesca Collet, Marco Formentin
We modify the spin-flip dynamics of a Curie-Weiss model with dissipative interaction potential (Dai Pra, Fischer and Regoli (2013)) by adding a site-dependent i.i.d. random magneti…
Path-space moderate deviations for a class of Curie-Weiss models with dissipation
Francesca Collet, Richard C. Kraaij
We modify the Glauber dynamics of the Curie-Weiss model with dissipation in Dai Pra, Fischer, Regoli[2013] by considering arbitrary transition rates and we analyze the phase-portra…
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…