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2018 Critical radius and supremum of random spherical harmonics (II)
Renjie Feng, Xingcheng Xu, Robert J. Adler
Electron. Commun. Probab. 23: 1-11 (2018). DOI: 10.1214/18-ECP156

Abstract

We continue the study, begun in [6], of the critical radius of embeddings, via deterministic spherical harmonics, of fixed dimensional spheres into higher dimensional ones, along with the associated problem of the distribution of the suprema of random spherical harmonics. Whereas [6] concentrated on spherical harmonics of a common degree, here we extend the results to mixed degrees, en passant improving on the lower bounds on critical radii that we found previously.

Citation

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Renjie Feng. Xingcheng Xu. Robert J. Adler. "Critical radius and supremum of random spherical harmonics (II)." Electron. Commun. Probab. 23 1 - 11, 2018. https://doi.org/10.1214/18-ECP156

Information

Received: 26 September 2017; Accepted: 24 July 2018; Published: 2018
First available in Project Euclid: 1 September 2018

zbMATH: 1401.60057
MathSciNet: MR3852264
Digital Object Identifier: 10.1214/18-ECP156

Subjects:
Primary: 33C55, 60G15
Secondary: 60F10, 60G60

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