@inbook{5f2b2faa4c5945ee84b8fd2bf6b4b019,

title = "Topologies of nodal sets of random band limited functions",

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 = "Band limited functions, Nodal domains, Nodal sets, Random Gaussian fields, Random measures, Scaling limit",

author = "Peter Sarnak and Igor Wigman",

note = "Publisher Copyright: {\textcopyright} 2016 American Mathematical Society.",

year = "2016",

doi = "10.1090/conm/664/13040",

language = "English (US)",

series = "Contemporary Mathematics",

publisher = "American Mathematical Society",

pages = "351--365",

booktitle = "Contemporary Mathematics",

address = "United States",

}