Dear all,
This week at the Horowitz seminar on Probability, Ergodic Theory and
Dynamical Systems at Tel Aviv University we are happy to have:
Speaker: Hugo Duminil-Copin, Université de Genève *
Title: "Critical temperature of the square lattice Potts model"
Date: Monday, January 3.
Time: 14:30
Place: Schreiber 309.
In this talk, we derive the critical temperature of the q-state Potts
model on the square lattice (q >= 2). More precisely, we consider a
geometric representation of the Potts model, called the random-cluster
model. Spin correlations of the Potts model get rephrased as connectivity
properties of the random-cluster model. The critical temperature of the
Potts model is therefore related to the critical point of the
random-cluster model. For the later, a duality relation allows us to
compute the critical value using a crossing estimate (similar to the
celebrated Russo-Seymour-Welsh theory for percolation) and a sharp
threshold theorem. This result has many applications in the field and we
will briefly mention some of them at the end of the talk.
Joint work with V. Beffara.
Best regards,
Seminar URL:
Technion Math Net-2 (TECHMATH2)
Editor: Michael Cwikel   <> 
Announcement from: Ron Peled   <>