21 citations · 109 across the 36 of their papers we have counts for
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math.PR2007★ 1 cited
The Jancovici - Lebowitz - Manificat law for large fluctuations of random complex zeroes
F. Nazarov, M. Sodin, A. Volberg
By random complex zeroes we mean the zero set of a random entire function whose Taylor coefficients are independent complex-valued Gaussian variables, and the variance of the k-th…
math-ph2007★ 11 cited
On the Number of Nodal Domains of Random Spherical Harmonics
Fedor Nazarov, Mikhail Sodin
Let N(f) be a number of nodal domains of a random Gaussian spherical harmonic f of degree n. We prove that as n grows to infinity, the mean of N(f)/n^2 tends to a positive constant…