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An arithmetic model for the total disorder process |
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| Authors: | C. P. Hughes A. Nikeghbali M. Yor |
| Affiliation: | 1. Department of Mathematics, University of York, Heslington, York, YO10 5DD, UK 2. Institut für Mathematik, Universit?t Zürich, Winterthurerstrasse 190, 8057, Zurich, Switzerland 3. Laboratoire de Probabilités et Modéles Aléatoires, Université Pierre et Marie Curie, et C.N.R.S. UMR 7599, 175, rue du Chevaleret, 75013, Paris, France |
| 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. |
| Keywords: | Total disorder process Convergence in distribution Central limit theorem Riemann zeta function |
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