Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2003-12-23
Nonlinear Sciences
Chaotic Dynamics
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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