Random complex zeroes, I. Asymptotic normality

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dc.creatorSodin, Mikhail
dc.creatorTsirelson, Boris
dc.date2002-10-06
dc.date2004-09-03
dc.date.accessioned2026-07-07T06:21:35Z
dc.date.available2026-07-07T06:21:35Z
dc.descriptionWe consider three models (elliptic, flat and hyperbolic) of Gaussian random analytic functions distinguished by invariance of their zeroes distribution. Asymptotic normality is proven for smooth functionals (linear statistics) of the set of zeroes.
dc.description26 pages. Version 2 (final): the end of the proof corrected (sections 3.2, 3.3); small insertions to Introduction and References
dc.identifierhttps://arxiv.org/abs/math/0210090
dc.identifierhttp://arxiv.org/abs/math/0210090
dc.identifierIsrael Journal of Mathematics 144 (2004), 125--149.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95643
dc.subjectComplex Variables
dc.subjectMathematical Physics
dc.subjectProbability
dc.subject30B20; 30C15, 60G60, 82B10
dc.titleRandom complex zeroes, I. Asymptotic normality
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