Quantum maps are presented with special emphasis on their
physical origin. They represent a testing ground for understanding
concepts in quantized chaotic systems. The book teaches the modern
mathematical methods from analytic and algebraic number theory as
applied to quantum maps. It gives a broad and in-depth overview of
the mathematical problems arising in this area. Also treated are
the numerical aspects in quantum chaos such as eigenvalue and
eigenfunctions computations for chaotic quantum systems. The book
addresses scientists and advanced students in mathematics and
mathematical physics.
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