Autore: Giovanni Gallavotti
Titolo: Topics on Chaotic Dynamics
To be published in Lecture Notes in Physics, Springer Verlag
vol. 445, 1995.
Abstract: Various kinematical quantities associated with the
statistical properties of dynamical systems are examined:
statistics of the motion, dynamical bases and Lyapunov
exponents, Markov partitions 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.
Fisica, Universita' di Roma La Sapienza,
P.le Moro 2, 00185, Roma, Italia.
e-mail giovanni@ipparco.roma1.infn.it
tel. 6-49914370, fax 6-4957697