Amb motiu del tancament d'estiu, la validació de documents es reprendrà a partir del 28 d'agost de 2026. Disculpeu les molèsties.
Con motivo del cierre de verano, la validación de documentos se reanudará a partir del 28 de agosto de 2026. Disculpad las molestias
Due to the summer closure, document validation will resume starting August 28, 2026. We apologize for any inconvenience.

Files

644427.pdf (221.23 KB)

Document type

Article

Version

Accepted version

Publication date

2015-11-03

All rights reserved

Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/192551

Gaussian analytic functions in the unit ball

Journal Title

Authors

Director/Tutor

Journal ISSN

Volume Title

Related resource

https://doi.org/10.1007/s11856-015-1239-8

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.

Subject

Funcions holomorfes, Funcions de variables complexes, Representacions integrals, Teoremes de límit (Teoria de probabilitats), Processos gaussians

Subject (English)

Holomorphic functions, Functions of complex variables, Integral representations, Limit theorems (Probability theory), Gaussian processes

Citation

Collections

Articles publicats en revistes (Matemàtiques i Informàtica)

Citation

BUCKLEY, Jeremiah, MASSANEDA CLARES, Francesc Xavier and PRIDHNANI, Bharti. Gaussian analytic functions in the unit ball. Israel Journal of Mathematics. 2015. Vol. 209, num. 855-881. ISSN 0021-2172. [consulted: 15 of August of 2026]. Available at: https://hdl.handle.net/2445/192551

Export metadata

JSON - METS

Share record