4 papers
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…