Extra Colloquium Mathematics, Giulio Iacobelli

 

Join us for coffee and tea at 15.45 p.m.

 

 

Date: Thursday, February 9^th 2012

Speaker: Giulio Iacobelli

Room: 5161.0267 (Bernoulliborg)

Time: 16.15

 

  

 

Title: Potts model with invisible colours: first order phase transition and
         random-cluster representation .

  

Abstract:

 

We study a variant of the ferromagnetic Potts model, recently introduced by Tamura,
Tanaka and Kawashima, consisting of a ferromagnetic interaction among q ``visible''
colours along with the presence of r non-interacting ``invisible'' colours.
We introduce a random-cluster representation for the model, for which we prove the
existence of a first-order transition as long as q+r is large enough.   
The proof involves a contour argument applied to this random-cluster representation
of the model.
This is a joint work with Aernout van Enter and Siamak Taati.

 

 

 

 

 

 

Colloquium coordinators are Prof.dr. A.C.D. van Enter (e-mail : A.C.D.van.Enter@rug.nl) and

Dr. A.V. Kiselev (e-mail: a.v.kiselev@rug.nl)