Joint BCAM-UPV/EHU Analysis and PDE seminar: The Kac Limit for Fermionic Lattice Systems

LOCATION: Maryam Mirzakhani Seminar Room at BCAM 

Abstract
The Kac limit is a way of obtaining the thermodynamic behavior of certain mean-field models as the limiting case of a system subject only to short-range interactions. We prove new results for fermionic systems on a lattice, stating that the convergence holds not only for the thermodynamic pressure but also for equilibrium states (i.e., for all correlation functions). When both an attractive and a repulsive Kac interaction are present, we also show that the pressure of the system and the corresponding correlation functions do not necessarily converge to those of the conventional mean-field model, and can possibly lead to very unconventional (infinite volume) mean-field models.


More info at https://sites.google.com/view/apdebilbao/home