## Geometric aspects of functional analysis: Israel seminar (GAFA) 1989-90The scope of the Israel seminar in geometric aspects of functional analysis during the academic year 89/90 was particularly wide covering topics as diverse as: Dynamical systems, Quantum chaos, Convex sets in Rn, Harmonic analysis and Banach space theory. The large majority of the papers are original research papers. |

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### Contents

Carleson Stochastic models of some dynamical systems | 1 |

Ya G Sinai Mathematical problems in the theory of quantum chaos | 41 |

Bleher Quasiclassical expansions and the problem of quantum chaos | 60 |

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### Common terms and phrases

Analysis approximation assume asymptotic balls of radius Banach spaces body in Rn Borel bounded Bourgain caps centroids conjecture Consider const convex body convex sets convex symmetric body define denote density dimension dual duality eigenvalue ellipsoid equation estimate euclidean ball exists exponentially fact Fubini theorem function Gaussian geometric Hence Henon map hyperplane implies integer points interval isoperimetric inequality K C Rn Lebesgue measure Lemma Lindenstrauss log-concave Math metrics Minkowski Minkowski sum non-decreasing normed space number of zeroes obtain orthogonal operators paper parameter Pisier Poisson distribution polar polynomial problem Proceedings proof of Theorem properties Proposition prove quantum chaos quasi-classical quasi-eigenvalue random variables Remark result satisfies Schechtman Seminar set A C set of diameter Springer-Verlag subspace Theorem 1.1 Theory Topology unit ball universal constant V.D. Milman volume