Glauber dynamics on spin systems are well known to suffer exponential slowdowns at low
temperatures due to the emergence of multiple metastable phases, separated by narrow …

The $(2+ 1) $ D Solid-On-Solid (SOS) model famously exhibits a roughening transition: on
an $ N\times N $ torus with the height at the origin rooted at $0 $, the variance of $ h (x) …

The disordered ferromagnet is a disordered version of the ferromagnetic Ising model in
which the coupling constants are non-negative quenched random. A ground configuration is …

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 …

Consider the Ising model on a centered box of side length n in Z d with∓-boundary
conditions that are minus in the upper half-space and plus in the lower half-space …

We study the entropic repulsion of the low temperature 3D Ising and Potts interface in an $
n\times n\times n $ box with blue boundary conditions on its bottom face (the hard floor), and …

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 1970s …

Consider the 3D Ising model on a box of side length n with minus boundary conditions
above the xy-plane and plus boundary conditions below it. At low temperatures, Dobrushin …

We study the Ising model in a box $\Lambda $ in $\mathbb {Z}^ d $(not necessarily parallel
to the directions of the lattice) with Dobrushin boundary conditions at low temperature. We …