Moderate Deviation estimates for Nodal Lengths of Random Spherical Harmonics

Claudio Macci, Maurizia Rossi, Anna Paola Todino

Risultato della ricerca: Contributo su rivistaArticolo in rivistapeer review

Abstract

We prove Moderate Deviation estimates for nodal lengths of random spherical harmonics both on the whole sphere and on shrinking spherical domains. Central Limit Theorems for the latter were recently established in Marinucci et al. (2020) and Todino (2020), respectively. Our proofs are based on the combination of a Moderate Deviation Principle by Schulte and Thäle (2016) for sequences of random variables living in a fixed Wiener chaos with a well-known result based on the concept of exponential equivalence

Lingua originaleInglese
pagine (da-a)249-263
Numero di pagine15
RivistaAlea
Volume18
Numero di pubblicazione1
DOI
Stato di pubblicazionePubblicato - 1 gen 2021
Pubblicato esternamente

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