21 citations · 109 across the 36 of their papers we have counts for
45 papers
Taylor coefficients and zeroes of entire functions of exponential type
Lior Hadassi, Mikhail Sodin
Let be an entire function of exponential type represented by the Taylor series \[ F(z) = \sum_{n\ge 0} ω_n \frac{z^n}{n!} \] with unimodular coefficients . We show tha…
Fourier uniqueness and non-uniqueness pairs
Aleksei Kulikov, Fedor Nazarov, Mikhail Sodin
Motivated by recent works by Radchenko and Viazovska and by Ramos and Sousa, we find sufficient conditions for a pair of discrete subsets of the real line to be a uniqueness or a n…
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…
Zero distribution of power series and binary correlation of coefficients
Jacques Benatar, Alexander Borichev, Mikhail Sodin
We study the distribution of zeroes of power series with infinite radius of convergence. The coefficients of the series have the form , where is a smooth sequence of…
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…