7 papers
The law of (1+1)D SOS with an area tilt in a wedge
Amir Dembo, Eyal Lubetzky, Ofer Zeitouni
Motivated by the study of the level lines of the D Solid-On-Solid (SOS) model above a floor, near the corners of the box, we derive the limit law of an ensemble of curve…
On level line fluctuations of SOS surfaces above a wall
Patrizio Caddeo, Yujin H. Kim, Eyal Lubetzky
We study the low temperature D Solid-On-Solid model on with zero boundary conditions and nonnegative heights (a floor at height ). Caputo et al. (2016) esta…
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 repu…
Metastability cascades and prewetting in the SOS model
Reza Gheissari, Eyal Lubetzky
We study Glauber dynamics for the low temperature D Solid-On-Solid model on a box of side-length with a floor at height (inducing entropic repulsion) and a competing…
Tilted Solid-On-Solid is liquid: scaling limit of SOS with a potential on a slope
Benoît Laslier, Eyal Lubetzky
The D Solid-On-Solid (SOS) model famously exhibits a roughening transition: on an torus with the height at the origin rooted at , the variance of , the…
Extrema of 3D Potts interfaces
Joseph Chen, Eyal Lubetzky
The interface between the plus and minus phases in the low temperature 3D Ising model has been intensely studied since Dobrushin's pioneering works in the early 1970's established…