Math Physics Seminar | Ian Jauslin, IAS | "Crystalline ordering and large-fugacity expansion for hard-core lattice particle systems" | 343 Jadwin Hall

Tue, Feb 6, 2018, 4:30 pm
Location: 
343 Jadwin Hall
Speaker(s): 

Abstract: 

I will present a class of hard-core lattice particle systems which exhibit a crystalline phase at high densities. The key ingredient of the proof is to show that the Gaunt-Fisher high-fugacity expansion is convergent for such models, which we acomplish using methods from Pirogov-Sinai theory. Crystallization can then be proved by studying the lower order terms of the expansion and bounding the remainder. This is joint work with Joel L. Lebowitz.