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http://hdl.handle.net/2445/192551
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DC Field | Value | Language |
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dc.contributor.author | Buckley, Jeremiah | - |
dc.contributor.author | Massaneda Clares, Francesc Xavier | - |
dc.contributor.author | Pridhnani, Bharti | - |
dc.date.accessioned | 2023-01-24T11:44:29Z | - |
dc.date.available | 2023-01-24T11:44:29Z | - |
dc.date.issued | 2015-11-03 | - |
dc.identifier.issn | 0021-2172 | - |
dc.identifier.uri | http://hdl.handle.net/2445/192551 | - |
dc.description.abstract | We 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.extent | 27 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | Springer Verlag | - |
dc.relation.isformatof | Versió postprint del document publicat a: https://doi.org/10.1007/s11856-015-1239-8 | - |
dc.relation.ispartof | Israel Journal of Mathematics, 2015, num. 209, p. 855-881 | - |
dc.relation.uri | https://doi.org/10.1007/s11856-015-1239-8 | - |
dc.rights | (c) Springer Verlag, 2015 | - |
dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | - |
dc.subject.classification | Funcions holomorfes | - |
dc.subject.classification | Funcions de variables complexes | - |
dc.subject.classification | Representacions integrals | - |
dc.subject.classification | Teoremes de límit (Teoria de probabilitats) | - |
dc.subject.classification | Processos gaussians | - |
dc.subject.other | Holomorphic functions | - |
dc.subject.other | Functions of complex variables | - |
dc.subject.other | Integral representations | - |
dc.subject.other | Limit theorems (Probability theory) | - |
dc.subject.other | Gaussian processes | - |
dc.title | Gaussian analytic functions in the unit ball | - |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/acceptedVersion | - |
dc.identifier.idgrec | 644427 | - |
dc.date.updated | 2023-01-24T11:44:29Z | - |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | - |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
File | Description | Size | Format | |
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644427.pdf | 221.23 kB | Adobe PDF | View/Open |
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