Gallavotti Giovanni
Topics on chaotic dynamics
(138K, TeX)
ABSTRACT. Various kinematical quantities associated with the statistical
properties of dynamical systems are examined: statistics of the motion,
dynamical bases and Lyapunov exponents. Markov partitons for chaotic
systems, without any attempt at describing ``optimal results''. The
Ruelle principle is illustrated via its relation with the theory of
gases. An example of an application predicts the results of an
experiment along the lines of Evans, Cohen, Morriss' work on viscosity
fluctuations. A sequence of mathematically oriented problems discusses
the details of the main abstract ergodic theorems guiding to a proof of
Oseledec's theorem for the Lyapunov exponents and products of random
matrices.