3 citations · 4 across the 2 of their papers we have counts for
7 papers
Differentiation of SRB states for hyperbolic flows
David Ruelle
Let the vector field on define a flow with an Axiom A attractor depending continuously on . Let be the SRB measure…
Extending the definition of entropy to nonequilibrium steady states
David Ruelle
We study the nonequilibrium statistical mechanics of a finite classical system subjected to nongradient forces and maintained at fixed kinetic energy (Hoover-Evans isokinetic t…
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…
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…
Grace-like polynomials
David Ruelle
Results of somewhat mysterious nature are known on the location of zeros of certain polynomials associated with statistical mechanics (Lee-Yang circle theorem) and also with graph…
A remark on the equivalence of isokinetic and isoenergetic thermostats in the thermodynamic limit
D. Ruelle
The Gaussian isokinetic and isoenergetic thermostats of Hoover and Evans are formally equivalent as remarked by Gallavotti, Rondoni and Cohen. But outside of equilibrium the fluctu…