3 papers
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.PR2019
A hierarchical mean field model of interacting spins
Paolo Dai Pra, Marco Formentin, Guglielmo Pelino
We consider a system of hierarchical interacting spins under dynamics of spin-flip type with a ferromagnetic mean field interaction, scaling with the hierarchical distance, coupled…
math.OC2018
On the convergence problem in Mean Field Games: a two state model without uniqueness
Alekos Cecchin, Paolo Dai Pra, Markus Fischer +1
We consider N-player and mean field games in continuous time over a finite horizon, where the position of each agent belongs to {-1,1}. If there is uniqueness of mean field game so…