Critical radius and supremum of random spherical harmonics. II.

DOI10.1214/18-ECP156zbMath1401.60057arXiv1709.00691MaRDI QIDQ1800841

Renjie Feng, Robert J. Adler, Xingcheng Xu

Publication date: 24 October 2018

Published in: Electronic Communications in Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.00691

zbMATH Keywords

asymptoticscurvaturespherical harmonicslarge deviationscritical radiusreachspherical ensemble

Mathematics Subject Classification ID

Random fields (60G60) Gaussian processes (60G15) Large deviations (60F10) Spherical harmonics (33C55)

Related Items (3)

No smooth phase transition for the nodal length of band-limited spherical random fields ⋮ Critical radius and supremum of random spherical harmonics. II. ⋮ Limiting behavior for the excursion area of band-limited spherical random fields

Cites Work

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• Critical radius and supremum of random spherical harmonics. II.
• On the equivalence of the tube and Euler characteristic methods for the distribution of the maximum of Gaussian fields over piecewise smooth domains
• Tail probabilities of the maxima of Gaussian random fields
• Local and global analysis of eigenfunctions
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• Random Fields and Geometry

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