4 papers · 1 filter
Discontinuous transition in 2D Potts: II. Order-Order Interface convergence
Moritz Dober, Alexander Glazman, Sébastien Ott
The -state Potts model is an archetypical model for various types of phase transitions. We consider it on the square grid and focus on the regime where it undergoes a discontinu…
Planar percolation and the loop O(n) model
Alexander Glazman, Matan Harel, Nathan Zelesko
We show that a large class of site percolation processes on any planar graph contains either zero or infinitely many infinite connected components. The assumptions that we require…
Discontinuous transition in 2D Potts: I. Order-Disorder Interface convergence
Moritz Dober, Alexander Glazman, Sébastien Ott
We study a -state Potts model on the square grid when at the point of its (discontinous) transition. This model exhibits exactly extremal Gibbs measures: $q…
On loops in the complement to dimers
Alexander Glazman, Lucas Rey
We consider ergodic translation-invariant Gibbs measures for the dimer model (i.e. perfect matchings) on the hexagonal lattice. The complement to a dimer configuration is a fully-p…