We study the wetting model, which considers a random walk constrained to remain above a
hard wall, but with additional pinning potential for each contact with the wall. This model is …

We consider the membrane model, that is the centered Gaussian field on Z^ d Z d whose
covariance matrix is given by the inverse of the discrete Bilaplacian. We impose a δ δ …

We prove estimates for the Green's function of the discrete bilaplacian in squares and cubes
in two and three dimensions which are optimal except possibly near the corners of the …

The membrane model is a Gaussian interface model with a Hamiltonian involving second
derivatives of the interface height. We consider the model in dimension d≥ 4 under the …

1. Introduction 609 2. Exit points in exponential last-passage percolation 617 3. Main
fluctuation bounds for exit points 622 4. Applications of main exit point bounds 626 5. Proofs …