10 citations · 36 across the 17 of their papers we have counts for
3 papers · 1 filter
Potts model with invisible colours: Random-cluster representation and Pirogov-Sinai analysis
Aernout C. D. van Enter, Giulio Iacobelli, Siamak Taati
We study a variant of the ferromagnetic Potts model, recently introduced by Tamura, Tanaka and Kawashima, consisting of a ferromagnetic interaction among "visible" colours alon…
First-order transition in Potts models with "invisible' states: Rigorous proofs
Aernout C. D. van Enter, Giulio Iacobelli, Siamak Taati
In some recent papers by Tamura, Tanaka and Kawashima [arXiv:1102.5475, arXiv:1012.4254], a class of Potts models with "invisible" states was introduced, for which the authors argu…
A note on counting labeled and unlabeled trees
Victor N. Ermolaev, Giulio Iacobelli
We provide a short combinatorial proof of Cayley's formula by means of a bijective map to an outcome space of an urn-drawing problem. Furthermore we introduce an algebraic structur…