# 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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