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On level sets of Gaussian fields

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.

preprint2013arXivOpen access

Sourav Chatterjee Amir Dembo Jian Ding

math.PR

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Sourav Chatterjee Amir Dembo Jian Ding

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