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Quantum and Arithmetical Chaos

Eugene Bogomolny
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Abstract

The lectures are centered around three selected topics of quantum chaos: the Selberg trace formula, the two-point spectral correlation functions of Riemann zeta function zeros, and of the Laplace--Beltrami operator for the modular group. The lectures cover a wide range of quantum chaos applications and can serve as a non-formal introduction to mathematical methods of quantum chaos.

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Eugene Bogomolny. 2003-12-23. Quantum and Arithmetical Chaos. https://arxiv.org/abs/nlin/0312061

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