Topologies of nodal sets of random band-limited functions

Peter Sarnak; Igor Wigman

doi:10.1002/cpa.21794

Topologies of nodal sets of random band-limited functions

Peter Sarnak, Igor Wigman

Research output: Contribution to journal › Article › peer-review

29 Citations (Scopus)

144 Downloads (Pure)

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.

Original language	English
Pages (from-to)	275-342
Number of pages	68
Journal	COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS
Volume	72
Issue number	2
Early online date	10 Nov 2018
DOIs	https://doi.org/10.1002/cpa.21794
Publication status	Published - Feb 2019

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10.1002/cpa.21794

Topologies of nodal sets_SARNAK_Accepted3April2018_GREEN AAMAccepted author manuscript, 933 KB

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Topologies of nodal sets of random band-limited functions

Abstract

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