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math.CV2003★ 1 cited
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…
math.CV2003★ 1 cited
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…
math.CV2002★ 3 cited
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…