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.