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http://hdl.handle.net/2445/192551| Title: | Gaussian analytic functions in the unit ball |
| Author: | Buckley, Jeremiah Massaneda Clares, Francesc Xavier Pridhnani, Bharti |
| Keywords: | Funcions holomorfes Funcions de variables complexes Representacions integrals Teoremes de límit (Teoria de probabilitats) Processos gaussians Holomorphic functions Functions of complex variables Integral representations Limit theorems (Probability theory) Gaussian processes |
| Issue Date: | 3-Nov-2015 |
| Publisher: | Springer Verlag |
| 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. |
| Note: | Versió postprint del document publicat a: https://doi.org/10.1007/s11856-015-1239-8 |
| It is part of: | Israel Journal of Mathematics, 2015, num. 209, p. 855-881 |
| URI: | http://hdl.handle.net/2445/192551 |
| Related resource: | https://doi.org/10.1007/s11856-015-1239-8 |
| ISSN: | 0021-2172 |
| Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 644427.pdf | 221.23 kB | Adobe PDF | View/Open |
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