English

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

Probability 2021-11-12 v1

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.

Keywords

Cite

@article{arxiv.2111.05907,
  title  = {The concentration inequality for a discrete height function model perturbed by random potential},
  author = {Andrew Krieger},
  journal= {arXiv preprint arXiv:2111.05907},
  year   = {2021}
}

Comments

12 pages, 2 figures

R2 v1 2026-06-24T07:34:17.432Z