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math.PR2025
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…
math.PR2025
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
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…