Title: Entropy, Nonequilibrium, Chaos and Infinitesimals
Abstract: A survey of the approach to Statistical Mechanics following Boltzmann's theory of ensembles and ergodic hypothesis leading to chaoticity as a unifying principle of equilibrium and nonequilibrium Statistical Mechanics. (Source of the talk at the ESI Symposium on "Boltzmann's legacy", Vienna, 6-9 June, 2006.
Keywords: Chaos, Ergodic Hypothesis, Poincare' Recurrence, SRB distribution, Hyperbolic Systems, Time reversal, Fluctuation theorem, Chaotic hypothesis
G. Gallavotti, INFN, Universit\`a di Roma "La Sapienza",
P. A. Moro 2, 00185, Roma, Italy