INVESTIGADORES
FERRARI pablo Augusto
artículos
Título:
Phase transition for the clock model via random-cluster percolation
Autor/es:
ARMENDARIZ INES; SOPRANO-LOTO NAHUEL; PABLO A. FERRARI
Revista:
STOCHASTIC PROCESSES AND THEIR APPLICATIONS
Editorial:
ELSEVIER SCIENCE BV
Referencias:
Lugar: Amsterdam; Año: 2015
ISSN:
0304-4149
Resumen:
We prove that phase transition occurs in the dilute ferromagnetic nearest-neighbour q-state clock model in Zd, for every q≥2 and d≥2. This follows from the fact that the Edwards-Sokal random-cluster representation of the clock model stochastically dominates a supercritical Bernoulli bond percolation probability, a technique that has been applied to show phase transition for the low-temperature Potts model. The domination involves a combinatorial lemma which is one of the main points of this article.
