The Session was intended to give a broad survey of the mathematical problems arising in the chaotic transition of deterministic dynamical systems, both in classical and quantum mechanics. The lectures of Mather and Forni thoroughly cover the area- preserving twist maps, and include an up-to-date version of the Aubry-Mather theory. The lectures of Bellissard describe the quantum aspects: classical limit, localization, spectral properties of the relevant Schrodinger operators and thus represent an exhaus- tive introduction to the mathematics of "quantum chaos." The lectures of Degli...
The Session was intended to give a broad survey of the mathematical problems arising in the chaotic transition of deterministic dynamical systems, bot...