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Ruelle, David Pierre

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Author ID: ruelle.david-pierre Recent zbMATH articles by "Ruelle, David Pierre"
Published as: Ruelle, D.; Ruelle, David; Ruelle, David P.; Ruelle, David Pierre
Homepage: http://www.ihes.fr/~ruelle/
External Links: MGP · Math-Net.Ru · Wikidata · ORCID · dblp · GND
Documents Indexed: 174 Publications since 1958, including 13 Books
Biographic References: 3 Publications
all top 5

Serials

35 Communications in Mathematical Physics
13 Journal of Statistical Physics
8 Helvetica Physica Acta
6 Nonlinearity
5 Bulletin of the American Mathematical Society. New Series
4 Journal of Mathematical Physics
4 Publications Mathématiques
4 Inventiones Mathematicae
4 Ergodic Theory and Dynamical Systems
3 Notices of the American Mathematical Society
2 Reviews of Modern Physics
2 Boletim da Sociedade Brasileira de Matemática
2 Journal of Differential Geometry
2 Topology
2 Physica D
2 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
2 Comptes Rendus de l’Académie des Sciences. Série I
2 Annals of Mathematics. Second Series
2 Bulletin of the American Mathematical Society
1 Archive for Rational Mechanics and Analysis
1 Israel Journal of Mathematics
1 Mathematical Biosciences
1 Physica A
1 Physics Letters. A
1 Reviews in Mathematical Physics
1 The Mathematical Intelligencer
1 Advances in Mathematics
1 American Journal of Mathematics
1 Journal of Combinatorial Theory. Series A
1 Journal of Functional Analysis
1 Transactions of the American Mathematical Society
1 Bulletin de la Classe des Sciences. 5e Série
1 Pokroky Matematiky, Fyziky & Astronomie
1 Proceedings of the National Academy of Sciences of the United States of America
1 SIAM Journal on Applied Mathematics
1 Bulletin de la Société Mathématique de Belgique. Série A
1 Annales de l’Institut Henri Poincaré. Physique Théorique
1 Indagationes Mathematicae. New Series
1 Journal of Algebraic Combinatorics
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Annales Henri Poincaré
1 Nieuw Archief voor Wiskunde. Vijfde Serie
1 Physica Scripta
1 Nuclear Physics
1 Il Nuovo Cimento, X. Series
1 CRM Monograph Series
1 Encyclopedia of Mathematics and Its Applications
1 World Scientific Series on Nonlinear Science. Series A
1 La Scienza Nuova
1 Cambridge Mathematical Library

Publications by Year

Citations contained in zbMATH

142 Publications have been cited 6,522 times in 4,788 Documents Cited by Year
Ergodic theory of chaos and strange attractors. Zbl 0989.37516
Eckmann, J. P.; Ruelle, D.
754
1985
Statistical mechanics. Rigorous results. Zbl 0177.57301
Ruelle, David
563
1969
On the nature of turbulence. Zbl 0223.76041
Ruelle, David; Takens, Floris
457
1971
Thermodynamic formalism. The mathematical structures of classical equilibrium. Statistical mechanics. With a foreword by Giovanni Gallavotti. Zbl 0401.28016
Ruelle, David
341
1978
The ergodic theory of axiom A flows. Zbl 0311.58010
Bowen, Rufus; Ruelle, David
269
1975
Ergodic theory of differentiable dynamical systems. Zbl 0426.58014
Ruelle, David
205
1979
Superstable interactions in classical statistical mechanics. Zbl 0198.31101
Ruelle, D.
172
1970
A measure associated with axiom-A attractors. Zbl 0355.58010
Ruelle, David
162
1976
An inequality for the entropy of differentiable maps. Zbl 0432.58013
Ruelle, David
148
1978
Statistical mechanics of a one-dimensional lattice gas. Zbl 0165.29102
Ruelle, D.
134
1968
Repellers for real analytic maps. Zbl 0506.58024
Ruelle, David
133
1982
Characteristic exponents and invariant manifolds in Hilbert space. Zbl 0493.58015
Ruelle, David
131
1982
Thermodynamic formalism. The mathematical structures of equilibrium statistical mechanics. 2nd edition. Zbl 1062.82001
Ruelle, David
123
2004
Zeta-functions for expanding maps and Anosov flows. Zbl 0329.58014
Ruelle, David
122
1976
Note concerning our paper ”On the nature of turbulence”. Commun. math. Phys. 20, 167-192 (1971). Zbl 0227.76084
Ruelle, D.; Takens, F.
122
1971
Elements of differentiable dynamics and bifurcation theory. Zbl 0684.58001
Ruelle, David
118
1989
Occurrence of strange Axiom A attractors near quasi periodic flows on \(T^m\), \(m\geq 3\). Zbl 0396.58029
Newhouse, S.; Ruelle, D.; Takens, F.
115
1978
Statistical mechanics. Rigorous results. Zbl 1016.82500
Ruelle, David
110
1999
Smooth dynamics and new theoretical ideas in nonequilibrium statistical mechanics. Zbl 0934.37010
Ruelle, David
95
1999
Statistical mechanics on a compact set with Z\(^\nu\) action satisfying expansiveness and specification. Zbl 0278.28012
Ruelle, David
84
1974
The thermodynamic formalism for expanding maps. Zbl 0702.58056
Ruelle, David
79
1989
Differentiation of SRB states. Zbl 0895.58045
Ruelle, David
76
1997
Currents, flows and diffeomorphisms. Zbl 0321.58019
Ruelle, David; Sullivan, Dennis
72
1975
Chaotic evolution and strange attractors. The statistical analysis of time series for deterministic nonlinear systems. Notes prepared by Stefano Isola from the ‘Lezioni Lincee’ (Rome, May 1987). Zbl 0683.58001
Ruelle, David
66
1989
Some remarks on the ground state of infinite systems in statistical mechanics. Zbl 0169.57502
Ruelle, D.
66
1969
Some rigorous results on the Sherrington-Kirkpatrick spin glass model. Zbl 1108.82312
Aizenman, M.; Lebowitz, J. L.; Ruelle, D.
65
1987
A mathematical reformulation of Derrida’s REM and GREM. Zbl 0617.60100
Ruelle, David
62
1987
Positivity of entropy production in nonequilibrium statistical mechanics. Zbl 0973.37014
Ruelle, David
60
1996
Analycity properties of the characteristic exponents of random matrix products. Zbl 0426.58018
Ruelle, D.
57
1979
Fundamental limitations for estimating dimensions and Lyapunov exponents in dynamical systems. Zbl 0759.58030
Eckmann, J.-P.; Ruelle, D.
52
1992
Bifurcations in the presence of a symmetry group. Zbl 0259.58009
Ruelle, David
51
1973
Mean entropy of states in classical statistical mechanics. Zbl 0144.48205
Robinson, D. W.; Ruelle, D.
51
1967
A review of linear response theory for general differentiable dynamical systems. Zbl 1158.37305
Ruelle, David
46
2009
Natural nonequilibrium states in quantum statistical mechanics. Zbl 0988.82032
Ruelle, David
43
2000
Small random perturbations of dynamical systems and the definition of attractors. Zbl 0482.58017
Ruelle, David
41
1981
An extension of the theory of Fredholm determinants. Zbl 0732.47003
Ruelle, David
40
1990
Characteristic exponents for a viscous fluid subjected to time dependent forces. Zbl 0565.76031
Ruelle, David
40
1984
Applications conservant une mesure absolument continue par rapport à \(dx\) sur \([0,1]\). Zbl 0362.28013
Ruelle, D.
38
1977
On the asymptotic condition in quantum field theory. Zbl 0158.45702
Ruelle, D.
38
1962
General linear response formula in statistical mechanics, and the fluctuation-dissipation theorem far from equilibrium. Zbl 0940.82035
Ruelle, David
36
1998
State of physical systems. Zbl 0141.44604
Ruelle, D.
35
1966
Dynamical zeta functions for piecewise monotone maps of the interval. Zbl 0805.58006
Ruelle, David
33
1994
SRB states and nonequilibrium statistical mechanics close to equilibrium. Zbl 0909.60091
Gallavotti, Giovanni; Ruelle, David
30
1997
Noncommutative algebras for hyperbolic diffeomorphisms. Zbl 0657.58026
Ruelle, David
30
1988
Locating resonances for axiom A dynamical systems. Zbl 0655.58026
Ruelle, David
30
1986
Generalized zeta-functions for axiom A basic sets. Zbl 0316.58016
Ruelle, D.
30
1976
Deterministic chaos: The science and the fiction. Zbl 0702.58042
Ruelle, D.
29
1990
Absolutely singular dynamical foliations. Zbl 1031.37029
Ruelle, David; Wilkinson, Amie
28
2001
Large volume limit of the distribution of characteristic exponents in turbulence. Zbl 0546.76083
Ruelle, David
28
1982
Strange attractors. Zbl 0487.58014
Ruelle, David
28
1980
Integral representations of invariant states on \(B^ *\)-algebras. Zbl 0166.11402
Lanford, O.; Ruelle, D.
26
1967
Entropy production in quantum spin systems. Zbl 1051.82003
Ruelle, David
23
2001
Dynamical zeta functions and transfer operators. Zbl 1126.37305
Ruelle, David
21
2002
Flots qui ne mélangent pas exponentiellement. Zbl 0531.58040
Ruelle, David
21
1983
Statistical mechanics of vortices in an inviscid two-dimensional fluid. Zbl 0505.76037
Fröhlich, Jürg; Ruelle, David
20
1982
Extending the definition of entropy to nonequilibrium steady states. Zbl 1063.82020
Ruelle, David P.
18
2003
Historical behaviour in smooth dynamical systems. Zbl 1067.37501
Ruelle, David
18
2001
Thermodynamic formalism for maps satisfying positive expansiveness and specification. Zbl 0772.58047
Ruelle, David
18
1992
A variational formulation of equilibrium statistical mechanics and the Gibbs phase rule. Zbl 0154.46502
Ruelle, D.
18
1967
Equivalence of Gibbs and equilibrium states for homeomorphisms satisfying expansiveness and specification. Zbl 0763.54028
Haydn, N. T. A.; Ruelle, D.
17
1992
Resonances for axiom A flows. Zbl 0658.58026
Ruelle, D.
17
1987
Nonequilibrium statistical mechanics near equilibrium: Computing higher-order terms. Zbl 0896.58071
Ruelle, David
16
1998
Some remarks on the location of zeroes of the partition function for lattice systems. Zbl 1125.82311
Ruelle, David
16
1973
A theorem on canonical commutation and anticommutation relations. Zbl 0178.58001
Dell’Antonio, C.-F.; Doplicher, S.; Ruelle, D.
16
1966
Correlation functionals. Zbl 0127.21501
Ruelle, D.
16
1965
Characterization of Lee-Yang polynomials. Zbl 1251.30005
Ruelle, David
15
2010
Differentiating the absolutely continuous invariant measure of an interval map \(f\) with respect to \(f\). Zbl 1080.37046
Ruelle, David
15
2005
On Feigenbaum’s functional equation gg(lambdax)+lambdag(x)=0. Zbl 0513.58034
Campanino, M.; Epstein, H.; Ruelle, D.
15
1982
Differentiation of SRB states for hyperbolic flows. Zbl 1165.37011
Ruelle, David
14
2008
An extension of the theorem of Milnor and Thurston on the zeta functions of interval maps. Zbl 0818.58013
Baladi, V.; Ruelle, D.
14
1994
Differentiable dynamical systems and the problem of turbulence. Zbl 0474.76052
Ruelle, David
14
1981
States of classical statistical mechanics. Zbl 0154.46503
Ruelle, D.
14
1967
Connection between Wightman functions and Green functions in \(p\)-space. Zbl 0097.43003
Ruelle, D.
14
1961
Turbulence, strange attractors, and chaos. Zbl 0922.76009
Ruelle, David (ed.)
13
1995
Rotation numbers for diffeomorphisms and flows. Zbl 0556.58026
Ruelle, David
13
1985
Sensitive dependence on initial condition and turbulent behavior of dynamical systems. Zbl 0438.58003
Ruelle, David
13
1979
Integral representation of states on a \(C^*\)-algebra. Zbl 0196.14902
Ruelle, D.
13
1970
Application of hyperbolic dynamics to physics: some problems and conjectures. Zbl 1102.37051
Ruelle, David
12
2004
Measures describing a turbulent flow. Zbl 0474.76056
Ruelle, David
12
1980
Statistical mechanics on a compact set with Z\(^\nu\) action satisfying expansiveness and specification. Zbl 0255.28015
Ruelle, David
12
1972
Differentiation of SRB states: Correction and complements. Zbl 1019.37014
Ruelle, David
11
2003
Classical statistical mechanics of a system of particles. Zbl 0113.45606
Ruelle, D.
11
1963
Central limit theorems, Lee-Yang zeros, and graph-counting polynomials. Zbl 1334.05065
Lebowitz, J. L.; Pittel, B.; Ruelle, D.; Speer, E. R.
10
2016
Entropy production in nonequilibrium statistical mechanics. Zbl 0888.60082
Ruelle, David
10
1997
Resonances for intermittent systems. Zbl 0673.58030
Baladi, V.; Eckmann, J.-P.; Ruelle, D.
10
1989
Is our mathematics natural? The case of equilibrium statistical mechanics. Zbl 0649.00028
Ruelle, David
10
1988
On the interpretation of 1/f noise. Zbl 0532.60062
Marinari, E.; Parisi, G.; Ruelle, D.; Windey, P.
10
1983
Stable manifolds for maps. Zbl 0453.58018
Ruelle, David; Shub, Michael
10
1980
Responses to “Theoretical mathematics: Toward a cultural synthesis of mathematics and theoretical physics”, by A. Jaffe and F. Quinn. Zbl 0803.01014
Atiyah, Michael; Borel, Armand; Chaitin, G. J.; Friedan, Daniel; Glimm, James; Gray, Jeremy J.; Hirsch, Morris W.; MacLane, Saunders; Mandelbrot, Benoit B.; Ruelle, David; Schwarz, Albert; Uhlenbeck, Karen; Thom, René; Witten, Edward; Zeeman, Christopher
9
1994
One-dimensional Gibbs states and Axiom A diffeomorphisms. Zbl 0628.58043
Ruelle, D.
9
1987
Bounds on complexity in reaction-diffusion systems. Zbl 0596.35065
Kopell, Nancy; Ruelle, David
9
1986
Structure and \(f\)-dependence of the a.c.i.m. for a unimodal map \(f\) of Misiurewicz type. Zbl 1202.37008
Ruelle, David
8
2009
Counting unbranched subgraphs. Zbl 0915.05068
Ruelle, David
8
1999
Zeros of graph-counting polynomials. Zbl 0917.05074
Ruelle, David
8
1999
Spectral properties of a class of operators associated with maps in one dimension. Zbl 0811.47002
Ruelle, David
8
1991
Dynamical systems with turbulent behavior. Zbl 0452.34038
Ruelle, David
8
1978
A mechanical model for Fourier’s law of heat conduction. Zbl 1246.82075
Ruelle, David
7
2012
Phase transitions with four-spin interactions. Zbl 1219.82080
Lebowitz, Joel L.; Ruelle, David
7
2011
Analycity of the susceptibility function for unimodal Markovian maps of the interval. Zbl 1089.37020
Jiang, Yunping; Ruelle, David
7
2005
The Lorenz attractor and the problem of turbulence. Zbl 0355.76036
Ruelle, David
7
1976
Linear response theory for diffeomorphisms with tangencies of stable and unstable manifolds – a contribution to the Gallavotti-Cohen chaotic hypothesis. Zbl 1408.37044
Ruelle, David
1
2018
Central limit theorems, Lee-Yang zeros, and graph-counting polynomials. Zbl 1334.05065
Lebowitz, J. L.; Pittel, B.; Ruelle, D.; Speer, E. R.
10
2016
Non-equilibrium statistical mechanics of turbulence. Zbl 1307.82016
Ruelle, David
4
2014
A mechanical model for Fourier’s law of heat conduction. Zbl 1246.82075
Ruelle, David
7
2012
Location of the Lee-Yang zeros and absence of phase transitions in some Ising spin systems. Zbl 1322.82004
Lebowitz, Joel L.; Ruelle, David; Speer, Eugene R.
6
2012
Phase transitions with four-spin interactions. Zbl 1219.82080
Lebowitz, Joel L.; Ruelle, David
7
2011
Singularities of the susceptibility of a Sinai-Ruelle-Bowen measure in the presence of stable-unstable tangencies. Zbl 1230.37044
Ruelle, David
4
2011
Characterization of Lee-Yang polynomials. Zbl 1251.30005
Ruelle, David
15
2010
A review of linear response theory for general differentiable dynamical systems. Zbl 1158.37305
Ruelle, David
46
2009
Structure and \(f\)-dependence of the a.c.i.m. for a unimodal map \(f\) of Misiurewicz type. Zbl 1202.37008
Ruelle, David
8
2009
Differentiation of SRB states for hyperbolic flows. Zbl 1165.37011
Ruelle, David
14
2008
What physical quantities make sense in nonequilibrium statistical mechanics. Zbl 1156.82300
Ruelle, David
3
2008
The mathematician’s brain. Zbl 1131.00001
Ruelle, David
4
2007
Nonequilibrium statistical mechanics and entropy production in a classical infinite system of rotators. Zbl 1119.82036
Ruelle, David
4
2007
What is…a strange attractor? Zbl 1137.37012
Ruelle, David
3
2006
Differentiating the absolutely continuous invariant measure of an interval map \(f\) with respect to \(f\). Zbl 1080.37046
Ruelle, David
15
2005
Analycity of the susceptibility function for unimodal Markovian maps of the interval. Zbl 1089.37020
Jiang, Yunping; Ruelle, David
7
2005
Thermodynamic formalism. The mathematical structures of equilibrium statistical mechanics. 2nd edition. Zbl 1062.82001
Ruelle, David
123
2004
Application of hyperbolic dynamics to physics: some problems and conjectures. Zbl 1102.37051
Ruelle, David
12
2004
Extending the definition of entropy to nonequilibrium steady states. Zbl 1063.82020
Ruelle, David P.
18
2003
Differentiation of SRB states: Correction and complements. Zbl 1019.37014
Ruelle, David
11
2003
Perturbation theory for Lyapunov exponents of a toral map: Extension of a result of Shub and Wilkinson. Zbl 1023.37016
Ruelle, David
3
2003
Is there a unified theory of nonequilibrium statistical mechanics? Zbl 1138.82332
Ruelle, David
1
2003
Dynamical zeta functions and transfer operators. Zbl 1126.37305
Ruelle, David
21
2002
How should one define entropy production for nonequilibrium quantum spin systems? Zbl 1027.82027
Ruelle, David
6
2002
Grace-like polynomials. Zbl 1173.30304
Ruelle, David
2
2002
Some ill-formulated problems on regular and messy behavior in statistical mechanics and smooth dynamics for which I would like the advice of Yasha Sinai. Zbl 1124.82300
Ruelle, David
1
2002
Absolutely singular dynamical foliations. Zbl 1031.37029
Ruelle, David; Wilkinson, Amie
28
2001
Entropy production in quantum spin systems. Zbl 1051.82003
Ruelle, David
23
2001
Historical behaviour in smooth dynamical systems. Zbl 1067.37501
Ruelle, David
18
2001
Natural nonequilibrium states in quantum statistical mechanics. Zbl 0988.82032
Ruelle, David
43
2000
A remark on the equivalence of isokinetic and isoenergetic thermostats in the thermodynamic limit. Zbl 1055.82522
Ruelle, David
5
2000
Conversations on mathematics with a visitor from outer space. Zbl 1031.00001
Ruelle, David
1
2000
Statistical mechanics. Rigorous results. Zbl 1016.82500
Ruelle, David
110
1999
Smooth dynamics and new theoretical ideas in nonequilibrium statistical mechanics. Zbl 0934.37010
Ruelle, David
95
1999
Counting unbranched subgraphs. Zbl 0915.05068
Ruelle, David
8
1999
Zeros of graph-counting polynomials. Zbl 0917.05074
Ruelle, David
8
1999
General linear response formula in statistical mechanics, and the fluctuation-dissipation theorem far from equilibrium. Zbl 0940.82035
Ruelle, David
36
1998
Nonequilibrium statistical mechanics near equilibrium: Computing higher-order terms. Zbl 0896.58071
Ruelle, David
16
1998
Differentiation of SRB states. Zbl 0895.58045
Ruelle, David
76
1997
SRB states and nonequilibrium statistical mechanics close to equilibrium. Zbl 0909.60091
Gallavotti, Giovanni; Ruelle, David
30
1997
Entropy production in nonequilibrium statistical mechanics. Zbl 0888.60082
Ruelle, David
10
1997
Positivity of entropy production in the presence of a random thermostat. Zbl 0931.37002
Ruelle, David
6
1997
Sharp determinants and kneading operators for holomorphic maps. Zbl 0919.58008
Baladi, V.; Kitaev, A.; Ruelle, D.; Semmes, S.
1
1997
Positivity of entropy production in nonequilibrium statistical mechanics. Zbl 0973.37014
Ruelle, David
60
1996
Sharp determinants. Zbl 0856.47005
Baladi, V.; Ruelle, D.
5
1996
Sharp zeta functions for smooth interval maps. Zbl 0924.58016
Ruelle, D.
3
1996
Functional equation for dynamical zeta functions of Milnor-Thurston type. Zbl 0846.58047
Ruelle, David
1
1996
Turbulence, strange attractors, and chaos. Zbl 0922.76009
Ruelle, David (ed.)
13
1995
Dynamical zeta functions for piecewise monotone maps of the interval. Zbl 0805.58006
Ruelle, David
33
1994
An extension of the theorem of Milnor and Thurston on the zeta functions of interval maps. Zbl 0818.58013
Baladi, V.; Ruelle, D.
14
1994
Responses to “Theoretical mathematics: Toward a cultural synthesis of mathematics and theoretical physics”, by A. Jaffe and F. Quinn. Zbl 0803.01014
Atiyah, Michael; Borel, Armand; Chaitin, G. J.; Friedan, Daniel; Glimm, James; Gray, Jeremy J.; Hirsch, Morris W.; MacLane, Saunders; Mandelbrot, Benoit B.; Ruelle, David; Schwarz, Albert; Uhlenbeck, Karen; Thom, René; Witten, Edward; Zeeman, Christopher
9
1994
Dynamical zeta functions for maps of the interval. Zbl 0804.58043
Ruelle, David
1
1994
Analytic completion for dynamical zeta functions. Zbl 0829.58033
Ruelle, David
1
1993
Fundamental limitations for estimating dimensions and Lyapunov exponents in dynamical systems. Zbl 0759.58030
Eckmann, J.-P.; Ruelle, D.
52
1992
Thermodynamic formalism for maps satisfying positive expansiveness and specification. Zbl 0772.58047
Ruelle, David
18
1992
Equivalence of Gibbs and equilibrium states for homeomorphisms satisfying expansiveness and specification. Zbl 0763.54028
Haydn, N. T. A.; Ruelle, D.
17
1992
Dynamical zeta functions: Where do they come from and what are they good for. Zbl 0947.37502
Ruelle, David
4
1992
Spectral properties of a class of operators associated with conformal maps in two dimensions. Zbl 0753.47012
Ruelle, David
3
1992
Spectral properties of a class of operators associated with maps in one dimension. Zbl 0811.47002
Ruelle, David
8
1991
An extension of the theory of Fredholm determinants. Zbl 0732.47003
Ruelle, David
40
1990
Deterministic chaos: The science and the fiction. Zbl 0702.58042
Ruelle, D.
29
1990
Elements of differentiable dynamics and bifurcation theory. Zbl 0684.58001
Ruelle, David
118
1989
The thermodynamic formalism for expanding maps. Zbl 0702.58056
Ruelle, David
79
1989
Chaotic evolution and strange attractors. The statistical analysis of time series for deterministic nonlinear systems. Notes prepared by Stefano Isola from the ‘Lezioni Lincee’ (Rome, May 1987). Zbl 0683.58001
Ruelle, David
66
1989
Resonances for intermittent systems. Zbl 0673.58030
Baladi, V.; Eckmann, J.-P.; Ruelle, D.
10
1989
Noncommutative algebras for hyperbolic diffeomorphisms. Zbl 0657.58026
Ruelle, David
30
1988
Is our mathematics natural? The case of equilibrium statistical mechanics. Zbl 0649.00028
Ruelle, David
10
1988
Some rigorous results on the Sherrington-Kirkpatrick spin glass model. Zbl 1108.82312
Aizenman, M.; Lebowitz, J. L.; Ruelle, D.
65
1987
A mathematical reformulation of Derrida’s REM and GREM. Zbl 0617.60100
Ruelle, David
62
1987
Resonances for axiom A flows. Zbl 0658.58026
Ruelle, D.
17
1987
One-dimensional Gibbs states and Axiom A diffeomorphisms. Zbl 0628.58043
Ruelle, D.
9
1987
Diagnosis of dynamical systems with fluctuating parameters. Zbl 0625.58005
Ruelle, D.
4
1987
Locating resonances for axiom A dynamical systems. Zbl 0655.58026
Ruelle, David
30
1986
Bounds on complexity in reaction-diffusion systems. Zbl 0596.35065
Kopell, Nancy; Ruelle, David
9
1986
From dynamical systems to statistical mechanics and back. Zbl 0668.58050
Ruelle, D.; Sinaj, Ya. G.
3
1986
Ergodic theory of chaos and strange attractors. Zbl 0989.37516
Eckmann, J. P.; Ruelle, D.
754
1985
Rotation numbers for diffeomorphisms and flows. Zbl 0556.58026
Ruelle, David
13
1985
Addendum: Ergodic theory of chaos and strange attractors. Zbl 1396.37043
Eckmann, J. P.; Ruelle, D.
2
1985
Ergodic aspects of turbulence theory. Zbl 1063.37578
Ruelle, D.
1
1985
Characteristic exponents for a viscous fluid subjected to time dependent forces. Zbl 0565.76031
Ruelle, David
40
1984
Flots qui ne mélangent pas exponentiellement. Zbl 0531.58040
Ruelle, David
21
1983
On the interpretation of 1/f noise. Zbl 0532.60062
Marinari, E.; Parisi, G.; Ruelle, D.; Windey, P.
10
1983
Five turbulent problems. Zbl 1194.37095
Ruelle, David
2
1983
Repellers for real analytic maps. Zbl 0506.58024
Ruelle, David
133
1982
Characteristic exponents and invariant manifolds in Hilbert space. Zbl 0493.58015
Ruelle, David
131
1982
Large volume limit of the distribution of characteristic exponents in turbulence. Zbl 0546.76083
Ruelle, David
28
1982
Statistical mechanics of vortices in an inviscid two-dimensional fluid. Zbl 0505.76037
Fröhlich, Jürg; Ruelle, David
20
1982
On Feigenbaum’s functional equation gg(lambdax)+lambdag(x)=0. Zbl 0513.58034
Campanino, M.; Epstein, H.; Ruelle, D.
15
1982
Small random perturbations of dynamical systems and the definition of attractors. Zbl 0482.58017
Ruelle, David
41
1981
Differentiable dynamical systems and the problem of turbulence. Zbl 0474.76052
Ruelle, David
14
1981
The pressure of the geodesic flow on a negatively curved manifold. Zbl 0599.58038
Ruelle, David
1
1981
Strange attractors. Zbl 0487.58014
Ruelle, David
28
1980
Measures describing a turbulent flow. Zbl 0474.76056
Ruelle, David
12
1980
Stable manifolds for maps. Zbl 0453.58018
Ruelle, David; Shub, Michael
10
1980
Strange attractors and characteristic exponents of turbulent flows. Zbl 0518.34036
Ruelle, David
1
1980
Ergodic theory of differentiable dynamical systems. Zbl 0426.58014
Ruelle, David
205
1979
Analycity properties of the characteristic exponents of random matrix products. Zbl 0426.58018
Ruelle, D.
57
1979
Sensitive dependence on initial condition and turbulent behavior of dynamical systems. Zbl 0438.58003
Ruelle, David
13
1979
Thermodynamic formalism. The mathematical structures of classical equilibrium. Statistical mechanics. With a foreword by Giovanni Gallavotti. Zbl 0401.28016
Ruelle, David
341
1978
...and 42 more Documents
all top 5

Cited by 5,271 Authors

66 Ruelle, David Pierre
52 Pollicott, Mark
41 Kondrat’yev, Yuriĭ Grygorovych
38 Barreira, Luis Manuel
36 Gallavotti, Giovanni M.
34 Young, Lai-Sang
27 Lebowitz, Joel Louis
22 Lu, Kening
21 Lucarini, Valerio
21 Urbański, Mariusz
21 Valls Anglés, Cláudia
20 Jørgensen, Palle E. T.
20 Ledrappier, François
20 Lopes, Artur Oscar
20 Pesin, Yakov Borisovich
19 Baladi, Viviane
19 Yorke, James Alan
18 Pillet, Claude-Alain
18 Varandas, Paulo
17 Alves, José Ferreira
17 Kifer, Yuri
17 Sharp, Richard W.
16 Fröhlich, Jürg Martin
16 Mihailescu, Eugen Gh.
16 Viana, Marcelo
15 Albeverio, Sergio A.
15 Procacci, Aldo
15 Robinson, Derek W.
14 Cao, Yongluo
14 Gaspard, Pierre
14 Jakšić, Vojkan
14 Kutoviy, Oleksandr V.
14 Panchenko, Dmitry
13 Araújo, Vítor
13 Pokrovskiĭ, Alexeĭ Vadimovich
13 Röckner, Michael
12 Contucci, Pierluigi
12 de la Llave, Rafael
12 Gelfert, Katrin Grit
12 Maes, Christian
12 Schreiber, Sebastian J.
12 Vaienti, Sandro
11 Cessac, Bruno
11 Chekroun, Mickaël D.
11 Chen, Ercai
11 Giuliani, Alessandro
11 Jenkinson, Oliver
11 Kuna, Tobias
11 Leonel, Edson Denner
11 Mayer, Dieter H.
11 Zhao, Yun
10 Aizenman, Michael
10 Bollt, Erik M.
10 Bowen, Rufus
10 Carroll, Thomas L.
10 Collet, Pierre
10 Dereudre, David
10 Gaeta, Giuseppe
10 Iommi, Godofredo
10 Iooss, Gérard
10 Kiessling, Michael Karl-Heinz
10 Kloeden, Peter Eris
10 Kuznetsov, Sergey P.
10 Leplaideur, Renaud
10 Melbourne, Ian
10 Mohammed, Salah-Eldin A.
10 Sarig, Omri M.
10 Sewell, Geoffrey L.
10 van Enter, Aernout C. D.
10 Viana, Ricardo Luiz
10 Weiss, Howard
10 Yang, Xiaosong
10 Zhou, Shengfan
9 Bricmont, Jean
9 Caldas, Iberê L.
9 Cassandro, Marzio
9 Chen, Guanrong
9 Climenhaga, Vaughn
9 Cvitanović, Predrag
9 Daletskii, Alexei
9 Dobrushin, Roland Lvovich
9 Dolgopyat, Dmitry
9 Dybalski, Wojciech
9 Ghil, Michael
9 Goldstein, Sheldon
9 Lanford, Oscar E. III
9 Lieb, Elliott H.
9 Luzzatto, Stefano
9 Mesón, Alejandro M.
9 Narnhofer, Heide
9 Park, Yong Moon
9 Picco, Pierre
9 Presutti, Errico
9 Radin, Charles
9 Sinaĭ, Yakov Grigor’evich
9 Takahasi, Hiroki
9 Tresser, Charles
9 Vericat, Fernando
9 Wolf, Christian
8 Arguin, Louis-Pierre
...and 5,171 more Authors
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Cited in 471 Serials

446 Communications in Mathematical Physics
436 Journal of Statistical Physics
243 Physica D
175 Ergodic Theory and Dynamical Systems
169 Chaos
139 Chaos, Solitons and Fractals
137 Journal of Mathematical Physics
118 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
82 Transactions of the American Mathematical Society
71 Journal of Functional Analysis
69 Journal of Differential Equations
69 Discrete and Continuous Dynamical Systems
58 Journal of Mathematical Analysis and Applications
58 Inventiones Mathematicae
55 Journal of Fluid Mechanics
48 Israel Journal of Mathematics
48 Proceedings of the American Mathematical Society
45 Advances in Mathematics
41 Probability Theory and Related Fields
38 The Annals of Probability
38 Journal of Dynamics and Differential Equations
35 Nonlinearity
35 Reviews in Mathematical Physics
33 Nonlinear Dynamics
32 Reports on Mathematical Physics
32 Annales Henri Poincaré
30 Physics Letters. A
29 Letters in Mathematical Physics
29 Stochastic Processes and their Applications
29 Dynamical Systems
28 Journal of Mathematical Biology
28 Applied Mathematics and Computation
28 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
25 Mathematische Zeitschrift
25 Bulletin of the American Mathematical Society. New Series
25 Stochastics and Dynamics
24 Archive for Rational Mechanics and Analysis
24 Annales de l’Institut Henri Poincaré. Physique Théorique
23 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
23 Journal of Nonlinear Science
22 Physica A
21 Journal of Statistical Mechanics: Theory and Experiment
20 Mathematische Annalen
20 Monatshefte für Mathematik
20 Physics of Fluids
20 Communications in Nonlinear Science and Numerical Simulation
19 Duke Mathematical Journal
19 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
18 Journal of Computational Physics
18 Annals of Physics
17 Publications Mathématiques
17 Journal of Difference Equations and Applications
16 Theoretical and Mathematical Physics
16 Bulletin of Mathematical Biology
15 International Journal of Modern Physics B
15 The Annals of Applied Probability
15 Nonlinear Analysis. Theory, Methods & Applications
14 International Journal of Theoretical Physics
14 Acta Mathematica
14 Physical Review Letters
12 Journal d’Analyse Mathématique
12 Mathematical Proceedings of the Cambridge Philosophical Society
12 Physics Reports
12 Annales de l’Institut Fourier
12 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique
12 Topology and its Applications
12 Mathematical and Computer Modelling
12 Mathematical Problems in Engineering
12 Journal of Modern Dynamics
11 Journal of Economic Theory
11 Mathematische Nachrichten
11 Theoretical Population Biology
11 Advances in Applied Mathematics
11 Entropy
10 Modern Physics Letters B
10 The Mathematical Intelligencer
10 Functional Analysis and its Applications
10 Infinite Dimensional Analysis, Quantum Probability and Related Topics
10 Journal of the European Mathematical Society (JEMS)
10 Acta Mathematica Sinica. English Series
10 Qualitative Theory of Dynamical Systems
10 Discrete and Continuous Dynamical Systems. Series B
10 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics
9 Physics of Fluids, A
9 Memoirs of the American Mathematical Society
9 Dynamics and Stability of Systems
9 Journal de Mathématiques Pures et Appliquées. Neuvième Série
9 Journal of High Energy Physics
9 Science China. Mathematics
8 Advances in Applied Probability
8 Biological Cybernetics
8 Lithuanian Mathematical Journal
8 Mathematical Biosciences
8 Ukrainian Mathematical Journal
8 The Annals of Statistics
8 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
8 Geometriae Dedicata
8 Geometric and Functional Analysis. GAFA
8 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
8 Nonlinear Analysis. Real World Applications
...and 371 more Serials
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Cited in 62 Fields

2,483 Dynamical systems and ergodic theory (37-XX)
1,127 Statistical mechanics, structure of matter (82-XX)
804 Probability theory and stochastic processes (60-XX)
400 Ordinary differential equations (34-XX)
349 Fluid mechanics (76-XX)
329 Quantum theory (81-XX)
327 Measure and integration (28-XX)
262 Partial differential equations (35-XX)
254 Functional analysis (46-XX)
231 Biology and other natural sciences (92-XX)
168 Operator theory (47-XX)
162 Global analysis, analysis on manifolds (58-XX)
138 Statistics (62-XX)
130 Information and communication theory, circuits (94-XX)
129 Numerical analysis (65-XX)
115 Differential geometry (53-XX)
110 Mechanics of particles and systems (70-XX)
108 General topology (54-XX)
103 Number theory (11-XX)
93 Functions of a complex variable (30-XX)
88 Systems theory; control (93-XX)
81 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
73 Computer science (68-XX)
60 Manifolds and cell complexes (57-XX)
56 Combinatorics (05-XX)
54 Classical thermodynamics, heat transfer (80-XX)
50 Difference and functional equations (39-XX)
48 Geophysics (86-XX)
45 Several complex variables and analytic spaces (32-XX)
39 Topological groups, Lie groups (22-XX)
37 Harmonic analysis on Euclidean spaces (42-XX)
35 Linear and multilinear algebra; matrix theory (15-XX)
32 General and overarching topics; collections (00-XX)
32 Real functions (26-XX)
30 Mechanics of deformable solids (74-XX)
24 Group theory and generalizations (20-XX)
24 Calculus of variations and optimal control; optimization (49-XX)
23 History and biography (01-XX)
23 Operations research, mathematical programming (90-XX)
19 Mathematical logic and foundations (03-XX)
19 Relativity and gravitational theory (83-XX)
18 Approximations and expansions (41-XX)
17 Convex and discrete geometry (52-XX)
17 Optics, electromagnetic theory (78-XX)
16 Algebraic topology (55-XX)
14 Potential theory (31-XX)
13 Algebraic geometry (14-XX)
13 Abstract harmonic analysis (43-XX)
11 Integral equations (45-XX)
9 Astronomy and astrophysics (85-XX)
7 Nonassociative rings and algebras (17-XX)
6 Integral transforms, operational calculus (44-XX)
5 \(K\)-theory (19-XX)
5 Special functions (33-XX)
3 Commutative algebra (13-XX)
3 Sequences, series, summability (40-XX)
3 Mathematics education (97-XX)
2 Associative rings and algebras (16-XX)
2 Category theory; homological algebra (18-XX)
2 Geometry (51-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Field theory and polynomials (12-XX)

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