dc.contributor.author
Buckley, Jeremiah
dc.contributor.author
Massaneda Clares, Francesc Xavier
dc.contributor.author
Pridhnani, Bharti
dc.date.issued
2023-01-24T11:44:29Z
dc.date.issued
2023-01-24T11:44:29Z
dc.date.issued
2015-11-03
dc.date.issued
2023-01-24T11:44:29Z
dc.identifier
https://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
application/pdf
dc.format
application/pdf
dc.publisher
Springer Verlag
dc.relation
Versió postprint del document publicat a: https://doi.org/10.1007/s11856-015-1239-8
dc.relation
Israel Journal of Mathematics, 2015, num. 209, p. 855-881
dc.relation
https://doi.org/10.1007/s11856-015-1239-8
dc.rights
(c) Springer Verlag, 2015
dc.rights
info:eu-repo/semantics/openAccess
dc.source
Articles publicats en revistes (Matemàtiques i Informàtica)
dc.subject
Funcions holomorfes
dc.subject
Funcions de variables complexes
dc.subject
Representacions integrals
dc.subject
Teoremes de límit (Teoria de probabilitats)
dc.subject
Processos gaussians
dc.subject
Holomorphic functions
dc.subject
Functions of complex variables
dc.subject
Integral representations
dc.subject
Limit theorems (Probability theory)
dc.subject
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
