Probability Seminar: Yinon Spinka

  • Date: 10/04/2017
  • Time: 15:00
Yinon Spinka,Tel Aviv

University of British Columbia


A condition for long-range order in discrete spin systems


We present a new condition for the existence of long-range order in discrete spin systems, which emphasizes the role of entropy and high dimension. The condition applies to all symmetric nearest-neighbor discrete spin systems with an internal symmetry of `dominant phases'. Specific applications include a proof of Koteck√Ĺ's conjecture (1985) on anti-ferromagnetic Potts models, a strengthening of results of Lebowitz-Gallavotti (1971) and Runnels-Lebowitz (1975) on Widom-Rowlinson models and of Burton-Steif (1994) on shifts of finite type, and a significant extension of results of Engbers-Galvin (2012) on random graph homomorphisms on the hypercube. No background in statistical physics will be assumed and all terms will be explained thoroughly. Joint work with Ron Peled.

Other Information: 

Location: ESB 2012