Quantum and Arithmetical Chaos
Abstract
Description
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.
Lectures given at Les Houches School "Frontiers in Number Theory, Physics and Geometry" March 2003
Lectures given at Les Houches School "Frontiers in Number Theory, Physics and Geometry" March 2003