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- David Ruelle

Mathematics

France

2023

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
79
Citations
48,609
243
World Ranking
96
National Ranking
6

2023 - Research.com Mathematics in France Leader Award

2022 - Research.com Mathematics in France Leader Award

2014 - Max Planck Medal, German Physical Society

2013 - Fellow of the American Mathematical Society

2006 - Henri Poincaré Prize, International Association of Mathematical Physics

2004 - Matteucci Medal, Italian National Academy of Sciences (Accademia nazionale delle scienze)

2002 - Member of the National Academy of Sciences

1993 - Member of Academia Europaea

1993 - Fernand Holweck Medal and Prize, Institute of Physics (IOP)

1992 - Fellow of the American Academy of Arts and Sciences

1985 - Dannie Heineman Prize for Mathematical Physics, American Physical Society and American Institute of Physics

- Quantum mechanics
- Mathematical analysis
- Algebra

David Ruelle spends much of his time researching Statistical physics, Pure mathematics, Statistical mechanics, Mathematical analysis and Complex system. His work deals with themes such as Entropy, Dynamical systems theory, Theoretical physics and Turbulence, which intersect with Statistical physics. His Dynamical systems theory research includes elements of Dynamical system, Non-equilibrium thermodynamics, Fluctuation theorem, Attractor and Classical mechanics.

His study in the field of Nonequilibrium statistical mechanics is also linked to topics like Long term behavior. His Mathematical analysis study incorporates themes from Biological applications of bifurcation theory, Transcritical bifurcation, Homoclinic bifurcation, Pitchfork bifurcation and Bifurcation diagram. The various areas that David Ruelle examines in his Complex system study include Compact space, Mechanism, Quantum computer, Lattice and Nonlinear system.

- Ergodic theory of chaos and strange attractors (3963 citations)
- Recurrence Plots of Dynamical Systems (2186 citations)
- Statistical Mechanics: Rigorous Results (1845 citations)

His primary areas of investigation include Statistical physics, Pure mathematics, Statistical mechanics, Mathematical analysis and Dynamical systems theory. His Statistical physics research includes themes of Turbulence, Complex system and Thermostat. His Complex system research is multidisciplinary, incorporating elements of Lattice and Nonlinear system.

His work in Differentiable function, Invariant measure, Ergodic theory and Riemann zeta function is related to Pure mathematics. His Statistical mechanics research integrates issues from Non-equilibrium thermodynamics, Theoretical physics and Mathematical physics. His biological study deals with issues like Attractor, which deal with fields such as Classical mechanics.

- Statistical physics (31.06%)
- Pure mathematics (23.21%)
- Statistical mechanics (20.48%)

- Statistical mechanics (20.48%)
- Statistical physics (31.06%)
- Combinatorics (9.90%)

David Ruelle mainly investigates Statistical mechanics, Statistical physics, Combinatorics, Turbulence and Mathematical physics. His biological study spans a wide range of topics, including Analytic function, Non-equilibrium thermodynamics, Fluctuation theorem, Theoretical physics and Classical mechanics. Specifically, his work in Statistical physics is concerned with the study of Nonequilibrium statistical mechanics.

His Combinatorics research focuses on Expectation value and how it connects with Mathematical analysis. David Ruelle has researched Turbulence in several fields, including Thermal fluctuations and Degrees of freedom. The concepts of his Dynamical system study are interwoven with issues in Dynamical systems theory and Attractor.

- A review of linear response theory for general differentiable dynamical systems (196 citations)
- Characterization of Lee-Yang polynomials (38 citations)
- Structure and f -Dependence of the A.C.I.M. for a Unimodal Map f of Misiurewicz Type (38 citations)

- Quantum mechanics
- Mathematical analysis
- Algebra

His primary areas of investigation include Complex system, Statistical mechanics, Nonequilibrium statistical mechanics, Central limit theorem and Mathematical analysis. His Complex system study combines topics in areas such as Quantum critical point, Quantum phase transition and Condensed matter physics, Ferromagnetism. His research in Statistical mechanics intersects with topics in Dynamical systems theory, Dynamical system, Non-equilibrium thermodynamics, Turbulence and Degrees of freedom.

His Turbulence research is multidisciplinary, relying on both Mechanical system and Statistical physics. He has included themes like Chain, First order perturbation, Fourier transform, Kinetic energy and Thermal conduction in his Nonequilibrium statistical mechanics study. In his work, Phase transition is strongly intertwined with Spins, which is a subfield of Mathematical analysis.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Ergodic theory of chaos and strange attractors

J. P. Eckmann;D. Ruelle.

Reviews of Modern Physics **(1985)**

6757 Citations

Recurrence Plots of Dynamical Systems

J.-P. Eckmann;S. Oliffson Kamphorst;D. Ruelle.

EPL **(1987)**

3792 Citations

Recurrence Plots of Dynamical Systems

J. P. Eckmann;S. Oliffson Kamphorst;D. Ruelle.

Turbulence **(1995)**

3546 Citations

Statistical Mechanics: Rigorous Results

David Ruelle.

**(1969)**

3069 Citations

Thermodynamic Formalism : The Mathematical Structure of Equilibrium Statistical Mechanics

David Ruelle.

**(2004)**

2926 Citations

On the nature of turbulence

David Ruelle;Floris Takens.

Communications in Mathematical Physics **(1971)**

2165 Citations

Liapunov exponents from time series.

J.-P. Eckmann;S. O. Kamphorst;D. Ruelle;S. Ciliberto.

Physical Review A **(1986)**

1400 Citations

On the Nature of Turbulence

David Ruelle;Floris Takens.

tsac **(1971)**

1134 Citations

OCCURRENCE OF STRANGE AXIOM A ATTRACTORS NEAR QUASI PERIODIC FLOWS ON TM, M IS GREATER THAN OR EQUAL TO 3

S. Newhouse;D. Ruelle;F. Takens.

Communications in Mathematical Physics **(1978)**

965 Citations

Fundamental limitations for estimating dimensions and Lyapunov exponents in dynamical systems

Jean-Pierre Eckmann;D. Ruelle.

Physica D: Nonlinear Phenomena **(1992)**

958 Citations

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