5 citations · 11 across the 8 of their papers we have counts for
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Zeroes of Gaussian analytic functions
Mikhail Sodin
Geometrically, zeroes of a Gaussian analytic function are intersection points of an analytic curve in a Hilbert space with a randomly chosen hyperplane. Mathematical physics provid…
Coarse equidistribution of the argument of entire functions of finite order
Fedor Nazarov, Mikhail Sodin
We present several results that show somewhat surprising equidistribution patterns in the asymptotic behaviour of the argument of entire functions of finite order.
Random complex zeroes, III. Decay of the hole probability
Mikhail Sodin, Boris Tsirelson
By a hole we mean a disc that contains no flat chaotic analytic zero points (i.e. zeroes of a random entire function whose Taylor coefficients are independent complex-valued Gaussi…
Random complex zeroes, II. Perturbed lattice
Mikhail Sodin, Boris Tsirelson
We show that the flat chaotic analytic zero points (i.e. zeroes of a random entire function whose Taylor coefficients are independent complex-valued Gaussian random variables, and…
Random complex zeroes, I. Asymptotic normality
Mikhail Sodin, Boris Tsirelson
We consider three models (elliptic, flat and hyperbolic) of Gaussian random analytic functions distinguished by invariance of their zeroes distribution. Asymptotic normality is pro…
Asymptotics of the Fourier and Laplace transforms in weighted spaces of analytic functions
Vladimir Matsaev, Mikhail Sodin
We study the asymptotics near the origin of the Fourier transform in weighted Hardy spaces of analytic functions in the upper half-plane, and of the Laplace transform in weighted s…