Classical Nonintegrability, Quantum Chaos

1 Introduction.- 2 Dynamical Zeta Functions.- 2.1 Introduction and Motivation.- 2.1.1 Transfer Operators.- 2.1.2 Invariant Function Spaces.- 2.1.3 Quasicompactness.- 2.1.4 Weighted Dynamical Zeta Functions.- 2.2 Commented Bibliography.- 2.2.0 Foundations.- 2.2.1 Surveys.- 2.2.2 Applications.- 2.2.3 Subshifts of Finite Type and Axiom A.- 2.2.4 The Smooth Expanding Case.- 2.2.5 The Smooth Hyperbolic Case.- 2.2.6 The One-dimensional Case.- 2.2.7 The One-dimensional Case: Kneading Operator Approach.- 3 Irregular Scattering.- 3.1 Notions of Classical Potential Scattering.- 3.2 Centrally Symmetric Potentials.- 3.3 Scattering by Convex Obstacles.- 3.4 Symbolic Dynamics.- 3.5 Irregular Scattering by Potentials.- 3.6 Time Delay and the Differential Cross Section.- 4 Quantum Chaos.- 4.1 Husimi Functions.- 4.2 Pseudodifferential Operators.- 4.3 Fourier Integral Operators.- 4.4 The Schnirelman Theorem.- 4.5 Further Directions.- 5 Ergodicity and Mixing.- 6 Expanding Maps.- 7 Liouville Surfaces.- Participants.- Additional Talks.