3 papers
math.PR2026
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…
math.PR2026
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…
math.PR2025
On antiferromagnetic regimes in the Ashkin-Teller model
Moritz Dober
The Ashkin-Teller model can be represented by a pair of Ising spin configurations with coupling constants and for each, and for their product. We study this…