21 citations · 109 across the 36 of their papers we have counts for
9 papers · 1 filter
The random Weierstrass zeta function II. Fluctuations of the electric flux through rectifiable curves
Mikhail Sodin, Aron Wennman, Oren Yakir
Consider a random planar point process whose law is invariant under planar isometries. We think of the process as a random distribution of point charges and consider the electric f…
The random Weierstrass zeta function I. Existence, uniqueness, fluctuations
Mikhail Sodin, Aron Wennman, Oren Yakir
We describe a construction of random meromorphic functions with prescribed simple poles with unit residues at a given stationary point process. We characterize those stationary pro…
Fluctuations in the number of nodal domains
Fedor Nazarov, Mikhail Sodin
We show that the variance of the number of connected components of the zero set of the two-dimensional Gaussian ensemble of random spherical harmonics of degree n grows as a positi…
The "pits effect" for entire functions of exponential type and the Wiener spectrum
Jacques Benatar, Alexander Borichev, Mikhail Sodin
Given a sequence , we find a simple spectral condition which guarantees the angular equidistribution of the zeroes of the Taylor series \[ F_ξ(z)…
Spectra of stationary processes on Z
Alexander Borichev, Mikhail Sodin, Benjamin Weiss
We will discuss a somewhat striking spectral property of finitely valued stationary processes on Z that says that if the spectral measure of the process has a gap then the process…
Asymptotic laws for the spatial distribution and the number of connected components of zero sets of Gaussian random functions
Fedor Nazarov, Mikhail Sodin
We study the asymptotic laws for the spatial distribution and the number of connected components of zero sets of smooth Gaussian random functions of several real variables. The pri…