Random complex zeroes, II. Perturbed lattice

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dc.creatorSodin, Mikhail
dc.creatorTsirelson, Boris
dc.date2003-09-27
dc.date2005-10-14
dc.date.accessioned2026-07-07T06:35:44Z
dc.date.available2026-07-07T06:35:44Z
dc.descriptionWe 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 the variance of the k-th coefficient is 1/k!) can be regarded as a random perturbation of a lattice in the plane. The distribution of the distances between the zeroes and the lattice points is shift-invariant and has a Gaussian-type decay of the tails.
dc.description21 pages. Version 2 (final): the introduction is re-designed, the bibliography is updated; tiny changes in other sections
dc.identifierhttps://arxiv.org/abs/math/0309449
dc.identifierhttp://arxiv.org/abs/math/0309449
dc.identifierIsrael Journal of Mathematics 152 (2006), 105-124.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99882
dc.subjectComplex Variables
dc.subjectMathematical Physics
dc.subjectProbability
dc.subject30B20; 30C15, 60G60, 82B10
dc.titleRandom complex zeroes, II. Perturbed lattice
dc.typetext

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