Journal article

Universality for the random-cluster model on isoradial graphs

    2018
Published in:
  • Electronic Journal of Probability. - 2018, vol. 23
English We show that the canonical random-cluster measure associated to isoradial graphs is critical for all q≥1. Additionally, we prove that the phase transition of the model is of the same type on all isoradial graphs: continuous for 1≤q≤4 and discontinuous for q>4. For 1≤q≤4, the arm exponents (assuming their existence) are shown to be the same for all isoradial graphs. In particular, these properties also hold on the triangular and hexagonal lattices. Our results also include the limiting case of quantum random- cluster models in 1+1 dimensions.
Faculty
Faculté des sciences et de médecine
Department
Département de Mathématiques
Language
  • English
Classification
Mathematics
License
License undefined
Identifiers
Persistent URL
https://folia.unifr.ch/unifr/documents/307260
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