Abstract
We prove a multidimensional extension of Selberg’s central limit theorem for the logarithm of the Riemann zeta function on the critical line. The limit is a totally disordered process, whose coordinates are all independent and Gaussian.
Hughes, C P; Nikeghbali, A; Yor, M (2008). An arithmetic model for the total disorder process. Probability Theory and Related Fields, 141(1-2):47-59.
Abstract
We prove a multidimensional extension of Selberg’s central limit theorem for the logarithm of the Riemann zeta function on the critical line. The limit is a totally disordered process, whose coordinates are all independent and Gaussian.
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| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Analysis
Physical Sciences > Statistics and Probability Social Sciences & Humanities > Statistics, Probability and Uncertainty |
| Language: | English |
| Date: | May 2008 |
| Deposited On: | 14 Jan 2009 14:26 |
| Last Modified: | 24 Jun 2022 22:09 |
| Publisher: | Springer |
| ISSN: | 0178-8051 |
| Additional Information: | The original publication is available at www.springerlink.com |
| OA Status: | Green |
| Publisher DOI: | https://doi.org/10.1007/s00440-007-0079-9 |
| Related URLs: | http://arxiv.org/abs/math/0612195 http://www.ams.org/mathscinet-getitem?mr=2372965 |
Hughes, C P