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A central limit theorem for the spectrum of the modular domain

Thursday 1st July 2004 - 09:30 to 10:25
INI Seminar Room 1

We study the fluctuations in the discrete spectrum of the hyperbolic Laplacian for the modular domain using smooth counting functions. We show that in a certain regime, these have Gaussian fluctuations.

Presentation Material: 
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons