8 citations · 11 across the 12 of their papers we have counts for
17 papers
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…
Entropic repulsion of 3D Ising interfaces conditioned to stay above a floor
Reza Gheissari, Eyal Lubetzky
We study the interface of the Ising model in a box of side-length in at low temperature under Dobrushin's boundary conditions, conditioned to stay in a half…
Cutoff for the Glauber dynamics of the lattice free field
Shirshendu Ganguly, Reza Gheissari
The Gaussian Free Field (GFF) is a canonical random surface in probability theory generalizing Brownian motion to higher dimensions. In two dimensions, it is critical in several se…
Approximate domain Markov property for rigid Ising interfaces
Reza Gheissari, Eyal Lubetzky
Consider the Ising model on a centered box of side length in with -boundary conditions that are minus in the upper half-space and plus in the lower half-spac…
Local and global geometry of the 2D Ising interface in critical pre-wetting
Shirshendu Ganguly, Reza Gheissari
Consider the Ising model at low-temperatures and positive external field on an box with Dobrushin boundary conditions that are plus on the north, east, and west bou…
Tightness and tails of the maximum in 3D Ising interfaces
Reza Gheissari, Eyal Lubetzky
Consider the 3D Ising model on a box of side length with minus boundary conditions above the -plane and plus boundary conditions below it. At low temperatures, Dobrushin (1…
Maximum and shape of interfaces in 3D Ising crystals
Reza Gheissari, Eyal Lubetzky
Dobrushin (1972) showed that the interface of a 3D Ising model with minus boundary conditions above the -plane and plus below is rigid (has -fluctuations) at every suffic…
Concentration inequalities for polynomials of contracting Ising models
Reza Gheissari, Eyal Lubetzky, Yuval Peres
We study the concentration of a degree- polynomial of the spins of a general Ising model, in the regime where single-site Glauber dynamics is contracting. For , Gaussia…
Exponentially slow mixing in the mean-field Swendsen-Wang dynamics
Reza Gheissari, Eyal Lubetzky, Yuval Peres
Swendsen-Wang dynamics for the Potts model was proposed in the late 1980's as an alternative to single-site heat-bath dynamics, in which global updates allow this MCMC sampler to s…
The effect of boundary conditions on mixing of 2D Potts models at discontinuous phase transitions
Reza Gheissari, Eyal Lubetzky
We study Swendsen--Wang dynamics for the critical -state Potts model on the square lattice. For , where the phase transition is continuous, the mixing time $t_{\textrm{…
Quasi-polynomial mixing of critical 2D random cluster models
Reza Gheissari, Eyal Lubetzky
We study the Glauber dynamics for the random cluster (FK) model on the torus with parameters , for and the critical point $p_c…
Mixing times of critical 2D Potts models
Reza Gheissari, Eyal Lubetzky
We study dynamical aspects of the -state Potts model on an box at its critical . Heat-bath Glauber dynamics and cluster dynamics such as Swendsen--Wang (that…