362 citations · 1.1k across the 36 of their papers we have counts for
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nlin.CD2001
Perturbation theory for Lyapunov exponents of a toral map: extension of a result of Shub and Wilkinson
David Ruelle
Starting from a hyperbolic toral automorphism, we obtain, for a small volume preserving perturbation, an exact and rigorous second order perturbation expansion of the Lyapunov expo…
math-ph2001★ 18 cited
How should one define entropy production for nonequilibrium quantum spin systems?
David Ruelle
This paper discusses entropy production in nonequilibrium steady states for infinite quantum spin systems. Rigorous results have been obtained recently in this area, but a physical…
math-ph2001★ 13 cited
Topics in quantum statistical mechanics and operator algebras
David Ruelle
The language of operator algebras is of great help for the formulation of questions and answers in quantum statistical mechanics. In Chapter 1 we present a minimal mathematical int…