Topologies of nodal sets of random band limited functions

Peter Sarnak, Igor Wigman

Type: Other

Publication Date: 2016-01-01

Citations: 31

DOI: https://doi.org/10.1090/conm/664/13040

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.

Locations

Contemporary mathematics - American Mathematical Society - View - PDF
Research Portal (King's College London) - View - PDF
Research Portal (King's College London) - View - PDF
arXiv (Cornell University) - View - PDF
arXiv (Cornell University) - View - PDF
CiteSeer X (The Pennsylvania State University) - View - PDF
Contemporary mathematics - American Mathematical Society - View - PDF
Research Portal (King's College London) - View - PDF
Research Portal (King's College London) - View - PDF
arXiv (Cornell University) - View - PDF
arXiv (Cornell University) - View - PDF
CiteSeer X (The Pennsylvania State University) - View - PDF
Contemporary mathematics - American Mathematical Society - View - PDF
Research Portal (King's College London) - View - PDF
Research Portal (King's College London) - View - PDF
arXiv (Cornell University) - View - PDF
arXiv (Cornell University) - View - PDF
CiteSeer X (The Pennsylvania State University) - View - PDF

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