10 papers · 1 filter
On the rigidity of sloped height functions in and non-crossing surfaces
Arka Adhikari, Reza Gheissari, Ron Peled
We consider integer-valued height functions, with general convex interactions, placed on a slope. Sheffield (2003) conjectured that for all slopes, such height functions…
Mixing times of Langevin dynamics for spiked matrix models
Reza Gheissari, Curtis Grant, Tianmin Yu
We investigate the Langevin dynamics for Wigner matrices with a spherical spike, in the regime where the signal-to-noise ratio is large, but order one. For large, order-, si…
Rapid phase ordering of Ising dynamics on
Reza Gheissari, Allan Sly
We consider the phase ordering problem for the low-temperature Ising dynamics initialized from a biased and disordered initialization. Work of Fontes, Schonmann, Sidoravicius (2002…
Uniqueness and Mixing in the Low-Temperature Random-Cluster Model on Trees and Random Graphs
Antonio Blanca, Reza Gheissari, Heehyun Park +1
We study the random-cluster model on trees and treelike graphs at low temperatures. This is a model of dependent percolation parametrized by an edge probability and a…
Logarithmic delocalization of low temperature 3D Ising and Potts interfaces above a hard floor
Joseph Chen, Reza Gheissari, Eyal Lubetzky
We study the entropic repulsion of the low temperature 3D Ising and Potts interface in an box with blue boundary conditions on its bottom face (the hard floor)…
Critical wetting in the (2+1)D Solid-On-Solid model
Joseph Chen, Reza Gheissari, Eyal Lubetzky
In this note, we study the low temperature D SOS interface above a hard floor with critical pinning potential . At entropic repulsio…