Please use this identifier to cite or link to this item: http://hdl.handle.net/2445/192551
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dc.contributor.authorBuckley, Jeremiah-
dc.contributor.authorMassaneda Clares, Francesc Xavier-
dc.contributor.authorPridhnani, Bharti-
dc.date.accessioned2023-01-24T11:44:29Z-
dc.date.available2023-01-24T11:44:29Z-
dc.date.issued2015-11-03-
dc.identifier.issn0021-2172-
dc.identifier.urihttp://hdl.handle.net/2445/192551-
dc.description.abstractWe study some properties of hyperbolic Gaussian analytic functions of intensity $L$ in the unit ball of $\mathbb{C}^n$. First we deal with the asymptotics of fluctuations of linear statistics as $L \rightarrow \infty$. Then we estimate the probability of large deviations (with respect to the expected value) of such linear statistics and use this estimate to prove a hole theorem.-
dc.format.extent27 p.-
dc.format.mimetypeapplication/pdf-
dc.language.isoeng-
dc.publisherSpringer Verlag-
dc.relation.isformatofVersió postprint del document publicat a: https://doi.org/10.1007/s11856-015-1239-8-
dc.relation.ispartofIsrael Journal of Mathematics, 2015, num. 209, p. 855-881-
dc.relation.urihttps://doi.org/10.1007/s11856-015-1239-8-
dc.rights(c) Springer Verlag, 2015-
dc.sourceArticles publicats en revistes (Matemàtiques i Informàtica)-
dc.subject.classificationFuncions holomorfes-
dc.subject.classificationFuncions de variables complexes-
dc.subject.classificationRepresentacions integrals-
dc.subject.classificationTeoremes de límit (Teoria de probabilitats)-
dc.subject.classificationProcessos gaussians-
dc.subject.otherHolomorphic functions-
dc.subject.otherFunctions of complex variables-
dc.subject.otherIntegral representations-
dc.subject.otherLimit theorems (Probability theory)-
dc.subject.otherGaussian processes-
dc.titleGaussian analytic functions in the unit ball-
dc.typeinfo:eu-repo/semantics/article-
dc.typeinfo:eu-repo/semantics/acceptedVersion-
dc.identifier.idgrec644427-
dc.date.updated2023-01-24T11:44:29Z-
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess-
Appears in Collections:Articles publicats en revistes (Matemàtiques i Informàtica)

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