The concentration inequality for a discrete height function model perturbed by random potential

Abstract

We present a proof of the concentration inequality for a discrete random surface model, where the underlying potential is perturbed by an additive random potential. The proof is based on annealing the random potential, and follows the method of [CEP96] and other works. Our result demonstrates the robustness of this method.

12 pages, 2 figures

References in corpus (2)

• Arctic curves of the six-vertex model on generic domains: the Tangent Method
• Eigenvalue vs perimeter in a shape theorem for self-interacting random walks