4 papers
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…
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…
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…
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…