69 citations · 495 across the 46 of their papers we have counts for
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math.PR2015
Topologies of nodal sets of random band limited functions
Peter Sarnak, Igor Wigman
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…
math.PR2015★ 26 cited
Fluctuations of the total number of critical points of random spherical harmonics
Valentina Cammarota, Igor Wigman
We determine the asymptotic law for the fluctuations of the total number of critical points of random Gaussian spherical harmonics in the high degree limit. Our results have implic…
math.PR2015★ 24 cited
Fluctuations of the Euler-Poincaré characteristic for random spherical harmonics
Valentina Cammarota, Domenico Marinucci, Igor Wigman
In this short note, we build upon some recent results to present a precise expression for the asymptotic variance of the Euler-Poincaré characteristic for the excursion sets of Gau…