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Topologies of nodal sets of random band limited functions

Author(s): Sarnak, Peter C; Wigman, Igor

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Abstract: It is shown that the topologies and nestings of the zero and nodal sets of random (Gaussian) band limited functions have universal laws of distribution. Qualitative features of the supports of these distributions are determined. In particular the results apply to random monochromatic waves and to random real algebraic hyper-surfaces in projective space.
Publication Date: 2016
Electronic Publication Date: 2016
Citation: Sarnak, Peter, Wigman, Igor. (2016). Topologies of nodal sets of random band limited functions. ADVANCES IN THE THEORY OF AUTOMORPHIC FORMS AND THEIR L-FUNCTIONS, 664 (351 - 365. doi:10.1090/conm/664/13040
DOI: doi:10.1090/conm/664/13040
ISSN: 0271-4132
Pages: 351 - 365
Type of Material: Conference Article
Journal/Proceeding Title: ADVANCES IN THE THEORY OF AUTOMORPHIC FORMS AND THEIR L-FUNCTIONS
Version: Author's manuscript



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