Quantum and Arithmetical Chaos

Nonlinear Sciences – Chaotic Dynamics

Scientific paper

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Lectures given at Les Houches School "Frontiers in Number Theory, Physics and Geometry" March 2003

Scientific paper

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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