General aspects of the Fluctuation–Dissipation Relation (FDR), and Response Theory are
considered. After analyzing the conceptual and historical relevance of fluctuations in …

Dynamical systems and their linear stability; 2. Topological chaos; 3. Liouvillian dynamics; 4.
Probabalistic chaos; 5. Chaotic scattering; 6. Scattering theory of transport; 7. Hydrodynamic …

One century after Einstein's work, Brownian motion still remains both a fundamental open
issue and a continuous source of inspiration for many areas of natural sciences. We first …

A valuable introduction for newcomers as well as an important reference and source of
inspiration for established researchers, this book provides an up-to-date summary of central …

Gaussian isokinetic and isoenergetic deterministic thermostats are reviewed in the correct
historical context with their later justification using Gauss' principle of least constraint. The …

The Lorentz gas, a point particle making mirror-like reflections from an extended collection of
scatterers, has been a useful model of deterministic diffusion and related statistical …

The fluctuation relation of the Gallavotti-Cohen fluctuation theorem (GCFT) concerns
fluctuations in the phase-space compression rate of dissipative, reversible dynamical …

PHYSICA Page 1 ELSEVIER Physlca D 83 (1995) 109-123 PHYSICA Dynamical averaging in
terms of periodic orbits Predrag Cvltanovld 1 Center for Studtes tn Phy~lc ~ and Btologv …

Benettin's classical method for the calculation of the Lyapunov exponent spectra of smooth
flows is applied to the case of systems with elastic hard collisions. As illustrative examples …

For a class of dynamical systems, called the axiom-A systems, Sinai, Ruelle and Bowen
showed the existence of an invariant measure (SRB measure) weakly attracting the …