%0 Journal Article %T On level sets of Gaussian fields %A Sourav Chatterjee %A Amir Dembo %A Jian Ding %J Mathematics %D 2013 %I arXiv %X 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. %U http://arxiv.org/abs/1310.5175v1