Abstract
In this paper we investigate some geometric functionals for band-limited Gaussian and isotropic spherical random fields in dimension 2. In particular, we focus on the area of excursion sets, providing its behavior in the high energy limit. Our results are based on Wiener chaos expansion for non linear transform of Gaussian fields and on an explicit derivation on the high-frequency limit of the covariance function of the field. As a simple corollary we establish also the Central Limit Theorem for the excursion area.
Lingua originale | Inglese |
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Rivista | Electronic Communications in Probability |
Volume | 27 |
DOI | |
Stato di pubblicazione | Pubblicato - 2022 |
Pubblicato esternamente | Sì |