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Extra Colloquium Mathematics, Giulio Iacobelli

09 februari 2012


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



Date: Thursday, February 9th 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




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 : and

Dr. A.V. Kiselev (e-mail:


Laatst gewijzigd:06 juni 2018 14:04

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