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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
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…