English

On level sets of Gaussian fields

Probability 2013-10-22 v1

Abstract

In this short note, we present a theorem concerning certain "additive structure" for the level sets of non-degenerate Gaussian fields, which yields the multiple valley phenomenon for extremal fields with exponentially many valleys.

Keywords

Cite

@article{arxiv.1310.5175,
  title  = {On level sets of Gaussian fields},
  author = {Sourav Chatterjee and Amir Dembo and Jian Ding},
  journal= {arXiv preprint arXiv:1310.5175},
  year   = {2013}
}

Comments

6 pages

R2 v1 2026-06-22T01:50:01.070Z