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An arithmetic model for the total disorder process


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.

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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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Language:English
Date:May 2008
Deposited On:14 Jan 2009 14:26
Last Modified:06 Dec 2017 15:46
Publisher:Springer
ISSN:0178-8051
Additional Information:The original publication is available at www.springerlink.com
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

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