Author pages are created from data sourced from our academic publisher partnerships and public sources.

Publications Influence

Share This Author

Ergodic theory of chaos and strange attractors

- J. Eckmann, D. Ruelle
- Physics
- 1 July 1985

Physical and numerical experiments show that deterministic noise, or chaos, is ubiquitous. While a good understanding of the onset of chaos has been achieved, using as a mathematical tool the… Expand

Recurrence Plots of Dynamical Systems

- J. Eckmann, S. O. Kamphorst, D. Ruelle
- Mathematics
- 1 November 1987

A new graphical tool for measuring the time constancy of dynamical systems is presented and illustrated with typical examples.

Statistical Mechanics: Rigorous Results

- D. Ruelle
- Mathematics
- 14 April 1999

Thermodynamic behaviour - ensembles the thermodynamic limit for thermodynamic functions - lattice systems the thermodynamic limit for thermodynamic functions - continuous systems low density… Expand

Superstable interactions in classical statistical mechanics

- D. Ruelle
- Physics
- 1970

AbstractWe consider classical systems of particles inv dimensions. For a very large class of pair potentials (superstable lower regular potentials) it is shown that the correlation functions have… Expand

The Ergodic Theory of Axiom A Flows.

Let M be a compact (Riemann) manifold and (f t ): M → M a differentiable flow. A closed (f t )-invariant set ∧ ⊂ M containing no fixed points is hyperbolic if the tangent bundle restricted to ∧ can… Expand

On the nature of turbulence

A mechanism for the generation of turbulence and related phenomena in dissipative systems is proposed.

Zeta-functions for expanding maps and Anosov flows

- D. Ruelle
- Mathematics
- 1 October 1976

Given a real-analytic expanding endomorphism of a compact manifoldM, a meromorphic zeta function is defined on the complex-valued real-analytic functions onM. A zeta function for Anosov flows is… Expand

A MEASURE ASSOCIATED WITH AXIOM-A ATTRACTORS.

- D. Ruelle
- Mathematics
- 23 January 1976

The future orbits of a diffeomorphism near an Axiom-A attrac- tor are investigated. It is found that their asymptotic behavior is in general described by a fixed probability measure yt carried by the… Expand

Thermodynamic Formalism: The Mathematical Structures of Classical Equilibrium Statistical Mechanics

- D. Ruelle
- Mathematics
- 1978

This book is aimed at mathematicians interested in such topics as ergodic theory, topological dynamics, constructive quantum field theory, the study of certain differentiable dynamical systems,… Expand

Ergodic theory of differentiable dynamical systems

- D. Ruelle
- Mathematics
- 1 December 1979

Iff is a C1 + ɛ diffeomorphism of a compact manifold M, we prove the existence of stable manifolds, almost everywhere with respect to everyf-invariant probability measure on M. These stable manifolds… Expand

...

1

2

3

4

5

...