Probability Seminar: Yinon Spinka

  • Date: 10/04/2017
  • Time: 15:00
Lecturer(s):
Yinon Spinka,Tel Aviv
Location: 

University of British Columbia

Topic: 

A condition for long-range order in discrete spin systems

Description: 

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.
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Other Information: 

Location: ESB 2012