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arXiv · 1310.5175

On level sets of Gaussian fields

Sourav Chatterjee·Amir Dembo·Jian Ding
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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.

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Sourav Chatterjee, Amir Dembo, Jian Ding. 2013-10-18. On level sets of Gaussian fields. https://arxiv.org/abs/1310.5175

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