Probability to be positive for the membrane model in dimensions 2 and 3

Simon Buchholz, Jean-Dominique Deuschel, Noemi Kurt +1

We consider the membrane model on a box $V_N\subset {\mathbb{Z}}^n$ of size $(2N+1{)}^n$ with zero boundary condition in the subcritical dimensions $n=2$ and $n=3$. We show optimal est…