Izabella Stuhl (Penn State)

Sphere-packings on lattices in statistical mechanics

Abstract:

I will discuss dense-packing problems on some two and three dimensional lattices and show their role in the analysis of the phase diagram of the hard-core model. Namely, the high-density pure phases/extreme Gibbs distributions of the model are generated by certain ground states - according to the Pirogov-Sinai theory - which are dense-packings for this model in the high-density regime.