文章基本信息

标题：Critical radius and supremum of random spherical harmonics (II)
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作者：Renjie Feng ; Xingcheng Xu ; Robert J. Adler 等
期刊名称：Electronic Communications in Probability
印刷版ISSN：1083-589X
出版年度：2018
卷号：23
DOI：10.1214/18-ECP156
语种：English
出版社：Electronic Communications in Probability
摘要：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.