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

Macci, C., Rossi, M., Todino, A. (2021). Moderate Deviation estimates for Nodal Lengths of Random Spherical Harmonics. ALEA, 18(1 (1 January 2021)), 249-263 [10.30757/ALEA.v18-11].

Moderate Deviation estimates for Nodal Lengths of Random Spherical Harmonics

Rossi, Maurizia
;
Todino, Anna Paola
2021

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
Articolo in rivista - Articolo scientifico
Nodal length; Random Spherical Harmonics; Moderate Deviation Principles; Chaotic Expansions; Exponential Equivalence;
English
2021
18
1 (1 January 2021)
249
263
none
Macci, C., Rossi, M., Todino, A. (2021). Moderate Deviation estimates for Nodal Lengths of Random Spherical Harmonics. ALEA, 18(1 (1 January 2021)), 249-263 [10.30757/ALEA.v18-11].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/298912
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