Abstract The Ferrari–Spohn diffusion process arises as limit process for the 2D Ising model
as well as random walks with area penalty. Motivated by the 3D Ising model, we consider M …

In this paper, we develop a detailed analysis of critical prewetting in the context of the two-
dimensional Ising model. Namely, we consider a two-dimensional nearest-neighbor Ising …

We study the low-temperature $(2+ 1) $ D solid-on-solid model on with zero boundary
conditions and nonnegative heights (a floor at height $0 $). Caputo et al.(2016) established …

The characterization of density correlations in the presence of strongly fluctuating interfaces
has always been considered a difficult problem in statistical mechanics. Here we study-by …

We study the interface of the Ising model in a box of side-length n in Z 3 at low temperature
1∕ β under Dobrushin's boundary conditions, conditioned to stay in a half-space above …

We study Glauber dynamics for the low temperature (2+ 1) D Solid-On-Solid model on a box
of side-length n with a floor at height 0 (inducing entropic repulsion) and a competing bulk …

We consider non-colliding Brownian lines above a hard wall, which are subject to
geometrically growing (given by a parameter $\lambda> 1$) area tilts, which we call the …

This article is devoted to the study of the behaviour of a (1+ 1)-dimensional model of random
walk conditioned to enclose an area of order $ N^ 2$. Such a conditioning enforces a …

Gibbsian line ensembles are families of Brownian lines arising in many natural contexts
such as the level curves of three dimensional Ising interfaces, the solid-on-solid model, multi …

We study the dynamical behavior of a one dimensional interface interacting with a sticky
impenetrable substrate or wall. The interface is subject to two effects going in opposite …