5 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…
Quantitative delocalization for solid-on-solid models at high temperature and arbitrary tilt
Sébastien Ott, Florian Schweiger
We study a family of integer-valued random interface models on the two-dimensional square lattice that include the solid-on-solid model and more generally -SOS models for $0<p\l…
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…
A new perspective on the equivalence between Weak and Strong Spatial Mixing in two dimensions
Sébastien Ott
Weak mixing in lattice models is informally the property that ``information does not propagate inside a system''. Strong mixing is the property that ``information does not propagat…
Relaxation time and topology in 1D models
Pietro Caputo, Sébastien Ott, Assaf Shapira
We discuss the relaxation time (inverse spectral gap) of the one dimensional model, for all and with two types of boundary conditions. We see how its low temperature asy…