5 citations · 11 across the 8 of their papers we have counts for
17 papers
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.
Sign and area in nodal geometry of Laplace eigenfunctions
Fedor Nazarov, Leonid Polterovich, Mikhail Sodin
The paper deals with asymptotic nodal geometry for the Laplace-Beltrami operator on closed surfaces. Given an eigenfunction f corresponding to a large eigenvalue, we study local as…
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…
Lower bounds for quasianalytic functions, II. The Bernstein quasianalytic functions
Alexander Borichev, Fedor Nazarov, Mikhail Sodin
Let F be a class of functions with the uniqueness property: if a function f in F vanishes on a set of positive measure, then f is the zero function. In many instances, we would lik…