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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, David; Ruelle, D.; Ruelle, David Pierre; Ruelle, David P.
Homepage: http://www.ihes.fr/~ruelle/
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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
3 Collection Enseignement des Sciences
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 European Mathematical Society Newsletter
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
1 Memorabili

Publications by Year

Citations contained in zbMATH Open

143 Publications have been cited 6,799 times in 5,012 Documents Cited by Year
Ergodic theory of chaos and strange attractors. Zbl 0989.37516
Eckmann, J. P.; Ruelle, D.
786
1985
Statistical mechanics. Rigorous results. Zbl 0177.57301
Ruelle, David
528
1969
On the nature of turbulence. Zbl 0223.76041
Ruelle, David; Takens, Floris
474
1971
The ergodic theory of axiom A flows. Zbl 0311.58010
Bowen, Rufus; Ruelle, David
298
1975
Thermodynamic formalism. The mathematical structures of classical equilibrium. Statistical mechanics. With a foreword by Giovanni Gallavotti. Zbl 0401.28016
Ruelle, David
265
1978
Ergodic theory of differentiable dynamical systems. Zbl 0426.58014
Ruelle, David
203
1979
Superstable interactions in classical statistical mechanics. Zbl 0198.31101
Ruelle, D.
186
1970
A measure associated with axiom-A attractors. Zbl 0355.58010
Ruelle, David
176
1976
An inequality for the entropy of differentiable maps. Zbl 0432.58013
Ruelle, David
167
1978
Repellers for real analytic maps. Zbl 0506.58024
Ruelle, David
150
1982
Thermodynamic formalism. The mathematical structures of equilibrium statistical mechanics. 2nd edition. Zbl 1062.82001
Ruelle, David
148
2004
Statistical mechanics of a one-dimensional lattice gas. Zbl 0165.29102
Ruelle, D.
143
1968
Characteristic exponents and invariant manifolds in Hilbert space. Zbl 0493.58015
Ruelle, David
140
1982
Zeta-functions for expanding maps and Anosov flows. Zbl 0329.58014
Ruelle, David
135
1976
Statistical mechanics. Rigorous results. Zbl 1016.82500
Ruelle, David
126
1999
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.
125
1978
Elements of differentiable dynamics and bifurcation theory. Zbl 0684.58001
Ruelle, David
119
1989
Note concerning our paper ”On the nature of turbulence”. Commun. math. Phys. 20, 167-192 (1971). Zbl 0227.76084
Ruelle, D.; Takens, F.
113
1971
Statistical mechanics on a compact set with Z\(^\nu\) action satisfying expansiveness and specification. Zbl 0278.28012
Ruelle, David
97
1974
Smooth dynamics and new theoretical ideas in nonequilibrium statistical mechanics. Zbl 0934.37010
Ruelle, David
94
1999
Differentiation of SRB states. Zbl 0895.58045
Ruelle, David
90
1997
The thermodynamic formalism for expanding maps. Zbl 0702.58056
Ruelle, David
88
1989
Currents, flows and diffeomorphisms. Zbl 0321.58019
Ruelle, David; Sullivan, Dennis
77
1975
Some remarks on the ground state of infinite systems in statistical mechanics. Zbl 0169.57502
Ruelle, D.
75
1969
Some rigorous results on the Sherrington-Kirkpatrick spin glass model. Zbl 1108.82312
Aizenman, M.; Lebowitz, J. L.; Ruelle, D.
75
1987
A mathematical reformulation of Derrida’s REM and GREM. Zbl 0617.60100
Ruelle, David
65
1987
Positivity of entropy production in nonequilibrium statistical mechanics. Zbl 0973.37014
Ruelle, David
63
1996
Analycity properties of the characteristic exponents of random matrix products. Zbl 0426.58018
Ruelle, D.
60
1979
A review of linear response theory for general differentiable dynamical systems. Zbl 1158.37305
Ruelle, David
58
2009
Fundamental limitations for estimating dimensions and Lyapunov exponents in dynamical systems. Zbl 0759.58030
Eckmann, J.-P.; Ruelle, D.
54
1992
Mean entropy of states in classical statistical mechanics. Zbl 0144.48205
Robinson, D. W.; Ruelle, D.
52
1967
Bifurcations in the presence of a symmetry group. Zbl 0259.58009
Ruelle, David
52
1973
Characteristic exponents for a viscous fluid subjected to time dependent forces. Zbl 0565.76031
Ruelle, David
46
1984
General linear response formula in statistical mechanics, and the fluctuation-dissipation theorem far from equilibrium. Zbl 0940.82035
Ruelle, David
45
1998
Natural nonequilibrium states in quantum statistical mechanics. Zbl 0988.82032
Ruelle, David
45
2000
An extension of the theory of Fredholm determinants. Zbl 0732.47003
Ruelle, David
42
1990
Small random perturbations of dynamical systems and the definition of attractors. Zbl 0482.58017
Ruelle, David
42
1981
On the asymptotic condition in quantum field theory. Zbl 0158.45702
Ruelle, D.
39
1962
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
39
1989
Applications conservant une mesure absolument continue par rapport à \(dx\) sur \([0,1]\). Zbl 0362.28013
Ruelle, D.
39
1977
Noncommutative algebras for hyperbolic diffeomorphisms. Zbl 0657.58026
Ruelle, David
37
1988
State of physical systems. Zbl 0141.44604
Ruelle, D.
35
1966
L’ordre dans le chaos. Vers une approche déterministe de la turbulence. (Order within chaos; towards a deterministic approach to turbulence). Préface de David Ruelle. Zbl 0669.58022
Bergé, Pierre; Pomeau, Yves; Vidal, Christian
35
1984
Dynamical zeta functions for piecewise monotone maps of the interval. Zbl 0805.58006
Ruelle, David
32
1994
Generalized zeta-functions for axiom A basic sets. Zbl 0316.58016
Ruelle, D.
32
1976
Large volume limit of the distribution of characteristic exponents in turbulence. Zbl 0546.76083
Ruelle, David
32
1982
Locating resonances for axiom A dynamical systems. Zbl 0655.58026
Ruelle, David
30
1986
Absolutely singular dynamical foliations. Zbl 1031.37029
Ruelle, David; Wilkinson, Amie
30
2001
SRB states and nonequilibrium statistical mechanics close to equilibrium. Zbl 0909.60091
Gallavotti, Giovanni; Ruelle, David
29
1997
Strange attractors. Zbl 0487.58014
Ruelle, David
29
1980
Deterministic chaos: The science and the fiction. Zbl 0702.58042
Ruelle, D.
28
1990
Integral representations of invariant states on \(B^ *\)-algebras. Zbl 0166.11402
Lanford, O.; Ruelle, D.
27
1967
Entropy production in quantum spin systems. Zbl 1051.82003
Ruelle, David
25
2001
Historical behaviour in smooth dynamical systems. Zbl 1067.37501
Ruelle, David
24
2001
Dynamical zeta functions and transfer operators. Zbl 1126.37305
Ruelle, David
23
2002
Flots qui ne mélangent pas exponentiellement. Zbl 0531.58040
Ruelle, David
23
1983
Statistical mechanics of vortices in an inviscid two-dimensional fluid. Zbl 0505.76037
Fröhlich, Jürg; Ruelle, David
22
1982
Nonequilibrium statistical mechanics near equilibrium: Computing higher-order terms. Zbl 0896.58071
Ruelle, David
21
1998
Resonances for axiom A flows. Zbl 0658.58026
Ruelle, D.
21
1987
Equivalence of Gibbs and equilibrium states for homeomorphisms satisfying expansiveness and specification. Zbl 0763.54028
Haydn, N. T. A.; Ruelle, D.
21
1992
A variational formulation of equilibrium statistical mechanics and the Gibbs phase rule. Zbl 0154.46502
Ruelle, D.
19
1967
Thermodynamic formalism for maps satisfying positive expansiveness and specification. Zbl 0772.58047
Ruelle, David
19
1992
Differentiating the absolutely continuous invariant measure of an interval map \(f\) with respect to \(f\). Zbl 1080.37046
Ruelle, David
19
2005
Connection between Wightman functions and Green functions in \(p\)-space. Zbl 0097.43003
Ruelle, D.
17
1961
Differentiation of SRB states for hyperbolic flows. Zbl 1165.37011
Ruelle, David
17
2008
Correlation functionals. Zbl 0127.21501
Ruelle, D.
17
1965
Extending the definition of entropy to nonequilibrium steady states. Zbl 1063.82020
Ruelle, David P.
16
2003
A theorem on canonical commutation and anticommutation relations. Zbl 0178.58001
Dell’Antonio, C.-F.; Doplicher, S.; Ruelle, D.
16
1966
On Feigenbaum’s functional equation gg(lambdax)+lambdag(x)=0. Zbl 0513.58034
Campanino, M.; Epstein, H.; Ruelle, D.
16
1982
Differentiation of SRB states: Correction and complements. Zbl 1019.37014
Ruelle, David
15
2003
Central limit theorems, Lee-Yang zeros, and graph-counting polynomials. Zbl 1334.05065
Lebowitz, J. L.; Pittel, B.; Ruelle, D.; Speer, E. R.
15
2016
An extension of the theorem of Milnor and Thurston on the zeta functions of interval maps. Zbl 0818.58013
Baladi, V.; Ruelle, D.
15
1994
Characterization of Lee-Yang polynomials. Zbl 1251.30005
Ruelle, David
15
2010
Rotation numbers for diffeomorphisms and flows. Zbl 0556.58026
Ruelle, David
15
1985
States of classical statistical mechanics. Zbl 0154.46503
Ruelle, D.
14
1967
Some remarks on the location of zeroes of the partition function for lattice systems. Zbl 1125.82311
Ruelle, David
14
1973
Differentiable dynamical systems and the problem of turbulence. Zbl 0474.76052
Ruelle, David
13
1981
Statistical mechanics on a compact set with Z\(^\nu\) action satisfying expansiveness and specification. Zbl 0255.28015
Ruelle, David
13
1972
Turbulence, strange attractors, and chaos. Zbl 0922.76009
12
1995
Classical statistical mechanics of a system of particles. Zbl 0113.45606
Ruelle, D.
12
1963
Integral representation of states on a \(C^*\)-algebra. Zbl 0196.14902
Ruelle, D.
12
1970
Application of hyperbolic dynamics to physics: some problems and conjectures. Zbl 1102.37051
Ruelle, David
12
2004
Structure and \(f\)-dependence of the a.c.i.m. for a unimodal map \(f\) of Misiurewicz type. Zbl 1202.37008
Ruelle, David
12
2009
Measures describing a turbulent flow. Zbl 0474.76056
Ruelle, David
12
1980
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
Analycity of the susceptibility function for unimodal Markovian maps of the interval. Zbl 1089.37020
Jiang, Yunping; Ruelle, David
10
2005
Bounds on complexity in reaction-diffusion systems. Zbl 0596.35065
Kopell, Nancy; Ruelle, David
9
1986
Zeros of graph-counting polynomials. Zbl 0917.05074
Ruelle, David
9
1999
Counting unbranched subgraphs. Zbl 0915.05068
Ruelle, David
9
1999
One-dimensional Gibbs states and Axiom A diffeomorphisms. Zbl 0628.58043
Ruelle, D.
9
1987
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
Stable manifolds for maps. Zbl 0453.58018
Ruelle, David; Shub, Michael
9
1980
On the interpretation of 1/f noise. Zbl 0532.60062
Marinari, E.; Parisi, G.; Ruelle, D.; Windey, P.
9
1983
On the asymptotic behaviour of Wightman functions in space-like directions. Zbl 0161.23503
Araki, H.; Hepp, K.; Ruelle, D.
7
1962
Dynamical systems with turbulent behavior. Zbl 0452.34038
Ruelle, David
7
1978
The Lorenz attractor and the problem of turbulence. Zbl 0355.76036
Ruelle, David
7
1976
Phase transitions with four-spin interactions. Zbl 1219.82080
Lebowitz, Joel L.; Ruelle, David
7
2011
A mechanical model for Fourier’s law of heat conduction. Zbl 1246.82075
Ruelle, David
7
2012
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
3
2018
Central limit theorems, Lee-Yang zeros, and graph-counting polynomials. Zbl 1334.05065
Lebowitz, J. L.; Pittel, B.; Ruelle, D.; Speer, E. R.
15
2016
A generalized detailed balance relation. Zbl 1348.82070
Ruelle, David
1
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
58
2009
Structure and \(f\)-dependence of the a.c.i.m. for a unimodal map \(f\) of Misiurewicz type. Zbl 1202.37008
Ruelle, David
12
2009
Differentiation of SRB states for hyperbolic flows. Zbl 1165.37011
Ruelle, David
17
2008
What physical quantities make sense in nonequilibrium statistical mechanics. Zbl 1156.82300
Ruelle, David
3
2008
Nonequilibrium statistical mechanics and entropy production in a classical infinite system of rotators. Zbl 1119.82036
Ruelle, David
4
2007
The mathematician’s brain. Zbl 1131.00001
Ruelle, David
4
2007
What is…a strange attractor? Zbl 1137.37012
Ruelle, David
4
2006
Differentiating the absolutely continuous invariant measure of an interval map \(f\) with respect to \(f\). Zbl 1080.37046
Ruelle, David
19
2005
Analycity of the susceptibility function for unimodal Markovian maps of the interval. Zbl 1089.37020
Jiang, Yunping; Ruelle, David
10
2005
Thermodynamic formalism. The mathematical structures of equilibrium statistical mechanics. 2nd edition. Zbl 1062.82001
Ruelle, David
148
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.
16
2003
Differentiation of SRB states: Correction and complements. Zbl 1019.37014
Ruelle, David
15
2003
Perturbation theory for Lyapunov exponents of a toral map: Extension of a result of Shub and Wilkinson. Zbl 1023.37016
Ruelle, David
4
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
23
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
30
2001
Entropy production in quantum spin systems. Zbl 1051.82003
Ruelle, David
25
2001
Historical behaviour in smooth dynamical systems. Zbl 1067.37501
Ruelle, David
24
2001
Natural nonequilibrium states in quantum statistical mechanics. Zbl 0988.82032
Ruelle, David
45
2000
A remark on the equivalence of isokinetic and isoenergetic thermostats in the thermodynamic limit. Zbl 1055.82522
Ruelle, David
3
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
126
1999
Smooth dynamics and new theoretical ideas in nonequilibrium statistical mechanics. Zbl 0934.37010
Ruelle, David
94
1999
Zeros of graph-counting polynomials. Zbl 0917.05074
Ruelle, David
9
1999
Counting unbranched subgraphs. Zbl 0915.05068
Ruelle, David
9
1999
General linear response formula in statistical mechanics, and the fluctuation-dissipation theorem far from equilibrium. Zbl 0940.82035
Ruelle, David
45
1998
Nonequilibrium statistical mechanics near equilibrium: Computing higher-order terms. Zbl 0896.58071
Ruelle, David
21
1998
Differentiation of SRB states. Zbl 0895.58045
Ruelle, David
90
1997
SRB states and nonequilibrium statistical mechanics close to equilibrium. Zbl 0909.60091
Gallavotti, Giovanni; Ruelle, David
29
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
63
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
12
1995
Dynamical zeta functions for piecewise monotone maps of the interval. Zbl 0805.58006
Ruelle, David
32
1994
An extension of the theorem of Milnor and Thurston on the zeta functions of interval maps. Zbl 0818.58013
Baladi, V.; Ruelle, D.
15
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.
54
1992
Equivalence of Gibbs and equilibrium states for homeomorphisms satisfying expansiveness and specification. Zbl 0763.54028
Haydn, N. T. A.; Ruelle, D.
21
1992
Thermodynamic formalism for maps satisfying positive expansiveness and specification. Zbl 0772.58047
Ruelle, David
19
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
6
1991
An extension of the theory of Fredholm determinants. Zbl 0732.47003
Ruelle, David
42
1990
Deterministic chaos: The science and the fiction. Zbl 0702.58042
Ruelle, D.
28
1990
Elements of differentiable dynamics and bifurcation theory. Zbl 0684.58001
Ruelle, David
119
1989
The thermodynamic formalism for expanding maps. Zbl 0702.58056
Ruelle, David
88
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
39
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
37
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.
75
1987
A mathematical reformulation of Derrida’s REM and GREM. Zbl 0617.60100
Ruelle, David
65
1987
Resonances for axiom A flows. Zbl 0658.58026
Ruelle, D.
21
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.
4
1986
Ergodic theory of chaos and strange attractors. Zbl 0989.37516
Eckmann, J. P.; Ruelle, D.
786
1985
Rotation numbers for diffeomorphisms and flows. Zbl 0556.58026
Ruelle, David
15
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
46
1984
L’ordre dans le chaos. Vers une approche déterministe de la turbulence. (Order within chaos; towards a deterministic approach to turbulence). Préface de David Ruelle. Zbl 0669.58022
Bergé, Pierre; Pomeau, Yves; Vidal, Christian
35
1984
Flots qui ne mélangent pas exponentiellement. Zbl 0531.58040
Ruelle, David
23
1983
On the interpretation of 1/f noise. Zbl 0532.60062
Marinari, E.; Parisi, G.; Ruelle, D.; Windey, P.
9
1983
Five turbulent problems. Zbl 1194.37095
Ruelle, David
2
1983
Repellers for real analytic maps. Zbl 0506.58024
Ruelle, David
150
1982
Characteristic exponents and invariant manifolds in Hilbert space. Zbl 0493.58015
Ruelle, David
140
1982
Large volume limit of the distribution of characteristic exponents in turbulence. Zbl 0546.76083
Ruelle, David
32
1982
Statistical mechanics of vortices in an inviscid two-dimensional fluid. Zbl 0505.76037
Fröhlich, Jürg; Ruelle, David
22
1982
On Feigenbaum’s functional equation gg(lambdax)+lambdag(x)=0. Zbl 0513.58034
Campanino, M.; Epstein, H.; Ruelle, D.
16
1982
Small random perturbations of dynamical systems and the definition of attractors. Zbl 0482.58017
Ruelle, David
42
1981
Differentiable dynamical systems and the problem of turbulence. Zbl 0474.76052
Ruelle, David
13
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
29
1980
Measures describing a turbulent flow. Zbl 0474.76056
Ruelle, David
12
1980
Stable manifolds for maps. Zbl 0453.58018
Ruelle, David; Shub, Michael
9
1980
Ergodic theory of differentiable dynamical systems. Zbl 0426.58014
Ruelle, David
203
1979
Analycity properties of the characteristic exponents of random matrix products. Zbl 0426.58018
Ruelle, D.
60
1979
Sensitive dependence on initial condition and turbulent behavior of dynamical systems. Zbl 0438.58003
Ruelle, David
6
1979
...and 43 more Documents
all top 5

Cited by 5,291 Authors

65 Ruelle, David Pierre
56 Pollicott, Mark
41 Kondrat’yev, Yuriĭ Grygorovych
39 Barreira, Luis Manuel
36 Gallavotti, Giovanni M.
35 Young, Lai-Sang
27 Lebowitz, Joel Louis
25 Lucarini, Valerio
25 Urbański, Mariusz
23 Lopes, Artur Oscar
22 Ledrappier, François
22 Lu, Kening
21 Valls Anglés, Cláudia
20 Jørgensen, Palle E. T.
20 Pesin, Yakov Borisovich
20 Pillet, Claude-Alain
20 Varandas, Paulo
19 Baladi, Viviane
19 Mihailescu, Eugen Gh.
18 Alves, José Ferreira
18 Sharp, Richard W.
18 Yorke, James Alan
17 Cao, Yongluo
17 Kifer, Yuri
17 Procacci, Aldo
17 Viana, Marcelo
16 Araújo, Vítor
16 Fröhlich, Jürg Martin
16 Jakšić, Vojkan
15 Albeverio, Sergio A.
15 Robinson, Derek W.
14 Kutoviy, Oleksandr V.
14 Panchenko, Dmitry
14 Röckner, Michael
13 Contucci, Pierluigi
13 Pokrovskiĭ, Alexeĭ Vadimovich
12 Carroll, Thomas L.
12 Cessac, Bruno
12 Chekroun, Mickaël D.
12 de la Llave, Rafael
12 Gelfert, Katrin Grit
12 Schreiber, Sebastian J.
12 Takahasi, Hiroki
12 Wang, Qiqi
12 Zhao, Yun
11 Chen, Ercai
11 Dereudre, David
11 Gaspard, Pierre
11 Jenkinson, Oliver
11 Kuna, Tobias
11 Maes, Christian
11 Rebenko, Alexei L.
11 Sarig, Omri M.
11 Vaienti, Sandro
11 van Enter, Aernout C. D.
10 Aizenman, Michael
10 Blumenthal, Alex
10 Bollt, Erik M.
10 Chen, Guanrong
10 Climenhaga, Vaughn
10 Collet, Pierre
10 Dolgopyat, Dmitry
10 Gaeta, Giuseppe
10 Ghil, Michael
10 Gonchenko, Sergey V.
10 Iommi, Godofredo
10 Iooss, Gérard
10 Kiessling, Michael Karl-Heinz
10 Kloeden, Peter Eris
10 Kozitsky, Yuri Vasil’evich
10 Kuznetsov, Sergey P.
10 Leplaideur, Renaud
10 Lewin, Mathieu
10 Lian, Zeng
10 Melbourne, Ian
10 Mohammed, Salah-Eldin A.
10 Osada, Hirofumi
10 Sewell, Geoffrey L.
10 Weiss, Howard
10 Wolf, Christian K.
10 Yang, Dawei
10 Yang, Xiaosong
10 Zhou, Shengfan
9 Bandtlow, Oscar F.
9 Bowen, Rufus
9 Bricmont, Jean
9 Caldas, Iberê L.
9 Cassandro, Marzio
9 Daletskii, Alexei
9 Dobrushin, Roland L’vovich
9 Dybalski, Wojciech
9 Galatolo, Stefano
9 Giuliani, Alessandro
9 Lanford, Oscar E. III
9 Lieb, Elliott H.
9 Liverani, Carlangelo
9 Luzzatto, Stefano
9 Mayer, Dieter H.
9 Park, Yong Moon
9 Picco, Pierre
...and 5,191 more Authors
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Cited in 503 Serials

467 Journal of Statistical Physics
459 Communications in Mathematical Physics
222 Physica D
195 Ergodic Theory and Dynamical Systems
180 Chaos
140 Journal of Mathematical Physics
130 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
124 Chaos, Solitons and Fractals
82 Transactions of the American Mathematical Society
80 Discrete and Continuous Dynamical Systems
71 Journal of Differential Equations
66 Journal of Functional Analysis
63 Journal of Fluid Mechanics
60 Inventiones Mathematicae
56 Journal of Mathematical Analysis and Applications
52 Nonlinearity
51 Israel Journal of Mathematics
50 Proceedings of the American Mathematical Society
49 Advances in Mathematics
43 Annales Henri Poincaré
39 The Annals of Probability
39 Probability Theory and Related Fields
39 Dynamical Systems
38 Reviews in Mathematical Physics
38 Journal of Dynamics and Differential Equations
33 Nonlinear Dynamics
30 Reports on Mathematical Physics
29 Letters in Mathematical Physics
28 Journal of Mathematical Biology
28 Applied Mathematics and Computation
28 Mathematische Zeitschrift
27 Archive for Rational Mechanics and Analysis
27 Stochastics and Dynamics
26 Stochastic Processes and their Applications
25 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
25 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
25 Bulletin of the American Mathematical Society. New Series
24 Physics Letters. A
24 Annales de l’Institut Henri Poincaré. Physique Théorique
24 Communications in Nonlinear Science and Numerical Simulation
23 Journal of Nonlinear Science
21 Mathematische Annalen
21 Monatshefte für Mathematik
20 Journal of Computational Physics
20 Duke Mathematical Journal
20 Physics of Fluids
18 Physica A
18 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
17 Theoretical and Mathematical Physics
17 Publications Mathématiques
17 The Annals of Applied Probability
17 Journal of Difference Equations and Applications
17 Journal of Statistical Mechanics: Theory and Experiment
16 International Journal of Modern Physics B
16 Bulletin of Mathematical Biology
15 International Journal of Theoretical Physics
15 Journal of the European Mathematical Society (JEMS)
15 Acta Mathematica Sinica. English Series
15 Nonlinear Analysis. Theory, Methods & Applications
14 Mathematical Proceedings of the Cambridge Philosophical Society
14 Physics Reports
14 Acta Mathematica
14 Annales de l’Institut Fourier
14 Physical Review Letters
14 Discrete and Continuous Dynamical Systems. Series B
14 Journal of Modern Dynamics
13 Journal d’Analyse Mathématique
13 Annals of Physics
13 Qualitative Theory of Dynamical Systems
12 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique
12 Mathematical Problems in Engineering
11 Geometriae Dedicata
11 Journal of Economic Theory
11 Mathematische Nachrichten
11 Entropy
11 SIAM Journal on Applied Dynamical Systems
11 Science China. Mathematics
10 Modern Physics Letters B
10 The Mathematical Intelligencer
10 Functional Analysis and its Applications
10 Mathematical and Computer Modelling
10 Infinite Dimensional Analysis, Quantum Probability and Related Topics
10 Journal of High Energy Physics
10 Bulletin of the Brazilian Mathematical Society. New Series
10 Foundations of Physics
10 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics
9 Ukrainian Mathematical Journal
9 Physics of Fluids, A
9 The Annals of Statistics
9 Memoirs of the American Mathematical Society
9 Advances in Applied Mathematics
9 Dynamics and Stability of Systems
8 Advances in Applied Probability
8 Biological Cybernetics
8 Lithuanian Mathematical Journal
8 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
8 Synthese
8 Theoretical Population Biology
8 Geometric and Functional Analysis. GAFA
8 Indagationes Mathematicae. New Series
...and 403 more Serials
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Cited in 62 Fields

2,627 Dynamical systems and ergodic theory (37-XX)
1,189 Statistical mechanics, structure of matter (82-XX)
854 Probability theory and stochastic processes (60-XX)
404 Ordinary differential equations (34-XX)
365 Fluid mechanics (76-XX)
346 Measure and integration (28-XX)
331 Quantum theory (81-XX)
283 Partial differential equations (35-XX)
273 Functional analysis (46-XX)
221 Biology and other natural sciences (92-XX)
181 Operator theory (47-XX)
166 Global analysis, analysis on manifolds (58-XX)
145 Statistics (62-XX)
136 Information and communication theory, circuits (94-XX)
134 Numerical analysis (65-XX)
120 Differential geometry (53-XX)
108 Number theory (11-XX)
107 Mechanics of particles and systems (70-XX)
105 Functions of a complex variable (30-XX)
105 General topology (54-XX)
88 Systems theory; control (93-XX)
84 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
75 Computer science (68-XX)
67 Manifolds and cell complexes (57-XX)
63 Combinatorics (05-XX)
55 Classical thermodynamics, heat transfer (80-XX)
54 Difference and functional equations (39-XX)
51 Several complex variables and analytic spaces (32-XX)
51 Geophysics (86-XX)
43 Linear and multilinear algebra; matrix theory (15-XX)
41 Topological groups, Lie groups (22-XX)
40 Real functions (26-XX)
39 Harmonic analysis on Euclidean spaces (42-XX)
34 Mechanics of deformable solids (74-XX)
31 General and overarching topics; collections (00-XX)
28 Calculus of variations and optimal control; optimization (49-XX)
27 Group theory and generalizations (20-XX)
24 History and biography (01-XX)
22 Mathematical logic and foundations (03-XX)
22 Operations research, mathematical programming (90-XX)
21 Relativity and gravitational theory (83-XX)
20 Convex and discrete geometry (52-XX)
19 Approximations and expansions (41-XX)
18 Algebraic topology (55-XX)
18 Optics, electromagnetic theory (78-XX)
15 Potential theory (31-XX)
15 Integral equations (45-XX)
13 Algebraic geometry (14-XX)
13 Abstract harmonic analysis (43-XX)
9 Astronomy and astrophysics (85-XX)
7 Nonassociative rings and algebras (17-XX)
7 \(K\)-theory (19-XX)
6 Special functions (33-XX)
4 Integral transforms, operational calculus (44-XX)
3 Commutative algebra (13-XX)
3 Category theory; homological algebra (18-XX)
3 Sequences, series, summability (40-XX)
3 Geometry (51-XX)
3 Mathematics education (97-XX)
2 Field theory and polynomials (12-XX)
2 Associative rings and algebras (16-XX)
1 Order, lattices, ordered algebraic structures (06-XX)

Citations by Year

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