Entropic repulsion in $|\nabla \varphi {|}^p$ surfaces: a large deviation bound for all $p\ge 1$

Pietro Caputo, Fabio Martinelli, Fabio Lucio Toninelli

We consider the $(2+1)$-dimensional generalized solid-on-solid (SOS) model, that is the random discrete surface with a gradient potential of the form $|\nabla \varphi {|}^p$, where $p\in […