Topologies of nodal sets of random band limited functions
Probability
2018-05-24 v2 Spectral Theory
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.
Keywords
Cite
@article{arxiv.1510.08500,
title = {Topologies of nodal sets of random band limited functions},
author = {Peter Sarnak and Igor Wigman},
journal= {arXiv preprint arXiv:1510.08500},
year = {2018}
}
Comments
62 pages. Major revision following referee report