Location of near maxima of log-correlated fields

Description

We consider the collection of near maxima of the discrete log-correlated Gaussian field in the interior of a box. We provide a rough description of the geometry of the set of near maxima. We show that two near maxima can other either simultaneously either at microscopic or at macroscopic level, but not at mesoscopic level.

Publication Date

1-1-2018

Publisher

Indian Institute of Science (IISc), Bangalore

Keywords

Gaussian processes, Extremes values, Log-correlated fields

Conference

Bangalore Probability Seminar, 06th August, 2018, Indian Institute of Science (IISc), Bangalore

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