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  • 标题:Critical radius and supremum of random spherical harmonics (II)
  • 本地全文:下载
  • 作者:Renjie Feng ; Xingcheng Xu ; Robert J. Adler
  • 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.
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