On multiple peaks and moderate deviations for supremum of Gaussian field

Jian Ding
Jian Ding
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Abstract:

We prove two theorems concerning extreme values of general Gaussian fields. Our first theorem concerns with the concept of multiple peaks. A theorem of Chatterjee states that when a centered Gaussian field admits the so-called superconcentration property, it typically attains values near its maximum on multiple near-orthogonal sites, kn...More

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