Sphere-packings on lattices in mathematical physics

Dense-packing problems on two and three dimensional lattices will be discussed, and their role will be shown in the analysis of the phase diagram of the hard-core model. Namely, high-density pure phases/extreme Gibbs distributions of the model are generated by certain ground states – in accordance with the Pirogov-Sinai theory – which are dense-packings for this model in the high-density regime.

• Speaker: Izabella Stuhl (Penn State)
• Tuesday 23 May 2023, 15:30–16:30
• Venue: MR12, Centre for Mathematical Sciences.
• Series: Probability; organiser: Perla Sousi.