Reza Gheissari

The effect of boundary conditions on mixing of 2D Potts models at discontinuous phase transitions

We study Swendsen--Wang dynamics for the critical

Asymptotics of Height Change on Toroidal Temperleyan Dimer Models

q

Zero-Temperature Dynamics in the Dilute Curie–Weiss Model

-state Potts model on the square lattice. For

Mixing Times of Critical 2D Potts Models

q=2,3,4

Quasi-polynomial mixing of critical 2D random cluster models

, where the phase transition is continuous, the mixing time

Concentration inequalities for polynomials of contracting Ising models

t_{\textrm{mix}}

On the Spectral Gap of Spherical Spin Glass Dynamics

is expected to obey a universal power-law independent of the boundary conditions. On the other hand, for large

Conformal Invariance of Spin Pattern Probabilities in the Planar Ising Model

q

Ising Model: Local Spin Correlations and Conformal Invariance

, where the phase transition is discontinuous, the authors recently showed that

Algorithmic thresholds for tensor PCA

t_{\textrm{mix}}