Edit Profile Ruelle, David Pierre Compute Distance To: Compute Author ID: 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 Co-Authors 140 single-authored 5 Eckmann, Jean-Pierre 4 Baladi, Viviane 4 Lebowitz, Joel Louis 3 Hepp, Klaus 3 Takens, Floris 2 Speer, Eugene R. 1 Aizenman, Michael 1 Araki, Huzihiro 1 Atiyah, Michael Francis 1 Borel, Armand 1 Bowen, Rufus 1 Campanino, Massimo 1 Chaitin, Gregory J. 1 Dell’Antonio, C.-F. 1 Doplicher, Sergio 1 Epstein, Howard I. 1 Friedan, Daniel Harry 1 Fröhlich, Jürg Martin 1 Fröhling, Jüerg 1 Gallavotti, Giovanni M. 1 Glimm, James G. 1 Gray, Jeremy John 1 Guerra, Francesco 1 Haydn, Nicolai T. A. 1 Hirsch, Morris W. 1 Jaffe, Arthur 1 Jiang, Yunping 1 Jost, Res 1 Kitaev, Alexander V. 1 Kopell, Nancy J. 1 Lanford, Oscar E. III 1 Mac Lane, Leslie Saunders 1 Mandelbrot, Benoit B. 1 Marinari, Enzo 1 Nappi, Chiara R. 1 Nelson, Joseph Edward 1 Newhouse, Sheldon E. 1 Parisi, Giorgio 1 Pittel, Boris G. 1 Robinson, Derek W. 1 Schwarz, Albert S. 1 Semmes, Stephen W. 1 Shub, Michael 1 Simon, Barry 1 Sinaĭ, Yakov Grigor’evich 1 Steinmann, Othmar 1 Straeter, Ray 1 Strocchi, Franco 1 Sullivan, Dennis Parnell 1 Thom, René 1 Uhlenbeck, Karen Keskulla 1 Velo, Giorgio 1 Wilkinson, Amie 1 Windey, Paul 1 Witten, Edward 1 Zeeman, Erik Christopher 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 all top 5 Fields 88 Dynamical systems and ergodic theory (37-XX) 49 Statistical mechanics, structure of matter (82-XX) 17 Fluid mechanics (76-XX) 15 Measure and integration (28-XX) 13 General and overarching topics; collections (00-XX) 13 Probability theory and stochastic processes (60-XX) 11 Global analysis, analysis on manifolds (58-XX) 8 History and biography (01-XX) 8 General topology (54-XX) 7 Operator theory (47-XX) 7 Quantum theory (81-XX) 4 Combinatorics (05-XX) 4 Functions of a complex variable (30-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Functional analysis (46-XX) 3 Manifolds and cell complexes (57-XX) 2 Mathematical logic and foundations (03-XX) 2 Ordinary differential equations (34-XX) 1 Number theory (11-XX) 1 Category theory; homological algebra (18-XX) 1 Real functions (26-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Mechanics of particles and systems (70-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications 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 0989.37516Eckmann, J. P.; Ruelle, D. 754 1985 Statistical mechanics. Rigorous results. Zbl 0177.57301Ruelle, David 563 1969 On the nature of turbulence. Zbl 0223.76041Ruelle, David; Takens, Floris 457 1971 Thermodynamic formalism. The mathematical structures of classical equilibrium. Statistical mechanics. With a foreword by Giovanni Gallavotti. Zbl 0401.28016Ruelle, David 341 1978 The ergodic theory of axiom A flows. Zbl 0311.58010Bowen, Rufus; Ruelle, David 269 1975 Ergodic theory of differentiable dynamical systems. Zbl 0426.58014Ruelle, David 205 1979 Superstable interactions in classical statistical mechanics. Zbl 0198.31101Ruelle, D. 172 1970 A measure associated with axiom-A attractors. Zbl 0355.58010Ruelle, David 162 1976 An inequality for the entropy of differentiable maps. Zbl 0432.58013Ruelle, David 148 1978 Statistical mechanics of a one-dimensional lattice gas. Zbl 0165.29102Ruelle, D. 134 1968 Repellers for real analytic maps. Zbl 0506.58024Ruelle, David 133 1982 Characteristic exponents and invariant manifolds in Hilbert space. Zbl 0493.58015Ruelle, David 131 1982 Thermodynamic formalism. The mathematical structures of equilibrium statistical mechanics. 2nd edition. Zbl 1062.82001Ruelle, David 123 2004 Zeta-functions for expanding maps and Anosov flows. Zbl 0329.58014Ruelle, David 122 1976 Note concerning our paper ”On the nature of turbulence”. Commun. math. Phys. 20, 167-192 (1971). Zbl 0227.76084Ruelle, D.; Takens, F. 122 1971 Elements of differentiable dynamics and bifurcation theory. Zbl 0684.58001Ruelle, David 118 1989 Occurrence of strange Axiom A attractors near quasi periodic flows on \(T^m\), \(m\geq 3\). Zbl 0396.58029Newhouse, S.; Ruelle, D.; Takens, F. 115 1978 Statistical mechanics. Rigorous results. Zbl 1016.82500Ruelle, David 110 1999 Smooth dynamics and new theoretical ideas in nonequilibrium statistical mechanics. Zbl 0934.37010Ruelle, David 95 1999 Statistical mechanics on a compact set with Z\(^\nu\) action satisfying expansiveness and specification. Zbl 0278.28012Ruelle, David 84 1974 The thermodynamic formalism for expanding maps. Zbl 0702.58056Ruelle, David 79 1989 Differentiation of SRB states. Zbl 0895.58045Ruelle, David 76 1997 Currents, flows and diffeomorphisms. Zbl 0321.58019Ruelle, 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 0683.58001Ruelle, David 66 1989 Some remarks on the ground state of infinite systems in statistical mechanics. Zbl 0169.57502Ruelle, D. 66 1969 Some rigorous results on the Sherrington-Kirkpatrick spin glass model. Zbl 1108.82312Aizenman, M.; Lebowitz, J. L.; Ruelle, D. 65 1987 A mathematical reformulation of Derrida’s REM and GREM. Zbl 0617.60100Ruelle, David 62 1987 Positivity of entropy production in nonequilibrium statistical mechanics. Zbl 0973.37014Ruelle, David 60 1996 Analycity properties of the characteristic exponents of random matrix products. Zbl 0426.58018Ruelle, D. 57 1979 Fundamental limitations for estimating dimensions and Lyapunov exponents in dynamical systems. Zbl 0759.58030Eckmann, J.-P.; Ruelle, D. 52 1992 Bifurcations in the presence of a symmetry group. Zbl 0259.58009Ruelle, David 51 1973 Mean entropy of states in classical statistical mechanics. Zbl 0144.48205Robinson, D. W.; Ruelle, D. 51 1967 A review of linear response theory for general differentiable dynamical systems. Zbl 1158.37305Ruelle, David 46 2009 Natural nonequilibrium states in quantum statistical mechanics. Zbl 0988.82032Ruelle, David 43 2000 Small random perturbations of dynamical systems and the definition of attractors. Zbl 0482.58017Ruelle, David 41 1981 An extension of the theory of Fredholm determinants. Zbl 0732.47003Ruelle, David 40 1990 Characteristic exponents for a viscous fluid subjected to time dependent forces. Zbl 0565.76031Ruelle, David 40 1984 Applications conservant une mesure absolument continue par rapport à \(dx\) sur \([0,1]\). Zbl 0362.28013Ruelle, D. 38 1977 On the asymptotic condition in quantum field theory. Zbl 0158.45702Ruelle, D. 38 1962 General linear response formula in statistical mechanics, and the fluctuation-dissipation theorem far from equilibrium. Zbl 0940.82035Ruelle, David 36 1998 State of physical systems. Zbl 0141.44604Ruelle, D. 35 1966 Dynamical zeta functions for piecewise monotone maps of the interval. Zbl 0805.58006Ruelle, David 33 1994 SRB states and nonequilibrium statistical mechanics close to equilibrium. Zbl 0909.60091Gallavotti, Giovanni; Ruelle, David 30 1997 Noncommutative algebras for hyperbolic diffeomorphisms. Zbl 0657.58026Ruelle, David 30 1988 Locating resonances for axiom A dynamical systems. Zbl 0655.58026Ruelle, David 30 1986 Generalized zeta-functions for axiom A basic sets. Zbl 0316.58016Ruelle, D. 30 1976 Deterministic chaos: The science and the fiction. Zbl 0702.58042Ruelle, D. 29 1990 Absolutely singular dynamical foliations. Zbl 1031.37029Ruelle, David; Wilkinson, Amie 28 2001 Large volume limit of the distribution of characteristic exponents in turbulence. Zbl 0546.76083Ruelle, David 28 1982 Strange attractors. Zbl 0487.58014Ruelle, David 28 1980 Integral representations of invariant states on \(B^ *\)-algebras. Zbl 0166.11402Lanford, O.; Ruelle, D. 26 1967 Entropy production in quantum spin systems. Zbl 1051.82003Ruelle, David 23 2001 Dynamical zeta functions and transfer operators. Zbl 1126.37305Ruelle, David 21 2002 Flots qui ne mélangent pas exponentiellement. Zbl 0531.58040Ruelle, David 21 1983 Statistical mechanics of vortices in an inviscid two-dimensional fluid. Zbl 0505.76037Fröhlich, Jürg; Ruelle, David 20 1982 Extending the definition of entropy to nonequilibrium steady states. Zbl 1063.82020Ruelle, David P. 18 2003 Historical behaviour in smooth dynamical systems. Zbl 1067.37501Ruelle, David 18 2001 Thermodynamic formalism for maps satisfying positive expansiveness and specification. Zbl 0772.58047Ruelle, David 18 1992 A variational formulation of equilibrium statistical mechanics and the Gibbs phase rule. Zbl 0154.46502Ruelle, D. 18 1967 Equivalence of Gibbs and equilibrium states for homeomorphisms satisfying expansiveness and specification. Zbl 0763.54028Haydn, N. T. A.; Ruelle, D. 17 1992 Resonances for axiom A flows. Zbl 0658.58026Ruelle, D. 17 1987 Nonequilibrium statistical mechanics near equilibrium: Computing higher-order terms. Zbl 0896.58071Ruelle, David 16 1998 Some remarks on the location of zeroes of the partition function for lattice systems. Zbl 1125.82311Ruelle, David 16 1973 A theorem on canonical commutation and anticommutation relations. Zbl 0178.58001Dell’Antonio, C.-F.; Doplicher, S.; Ruelle, D. 16 1966 Correlation functionals. Zbl 0127.21501Ruelle, D. 16 1965 Characterization of Lee-Yang polynomials. Zbl 1251.30005Ruelle, David 15 2010 Differentiating the absolutely continuous invariant measure of an interval map \(f\) with respect to \(f\). Zbl 1080.37046Ruelle, David 15 2005 On Feigenbaum’s functional equation gg(lambdax)+lambdag(x)=0. Zbl 0513.58034Campanino, M.; Epstein, H.; Ruelle, D. 15 1982 Differentiation of SRB states for hyperbolic flows. Zbl 1165.37011Ruelle, David 14 2008 An extension of the theorem of Milnor and Thurston on the zeta functions of interval maps. Zbl 0818.58013Baladi, V.; Ruelle, D. 14 1994 Differentiable dynamical systems and the problem of turbulence. Zbl 0474.76052Ruelle, David 14 1981 States of classical statistical mechanics. Zbl 0154.46503Ruelle, D. 14 1967 Connection between Wightman functions and Green functions in \(p\)-space. Zbl 0097.43003Ruelle, D. 14 1961 Turbulence, strange attractors, and chaos. Zbl 0922.76009Ruelle, David (ed.) 13 1995 Rotation numbers for diffeomorphisms and flows. Zbl 0556.58026Ruelle, David 13 1985 Sensitive dependence on initial condition and turbulent behavior of dynamical systems. Zbl 0438.58003Ruelle, David 13 1979 Integral representation of states on a \(C^*\)-algebra. Zbl 0196.14902Ruelle, D. 13 1970 Application of hyperbolic dynamics to physics: some problems and conjectures. Zbl 1102.37051Ruelle, David 12 2004 Measures describing a turbulent flow. Zbl 0474.76056Ruelle, David 12 1980 Statistical mechanics on a compact set with Z\(^\nu\) action satisfying expansiveness and specification. Zbl 0255.28015Ruelle, David 12 1972 Differentiation of SRB states: Correction and complements. Zbl 1019.37014Ruelle, David 11 2003 Classical statistical mechanics of a system of particles. Zbl 0113.45606Ruelle, D. 11 1963 Central limit theorems, Lee-Yang zeros, and graph-counting polynomials. Zbl 1334.05065Lebowitz, J. L.; Pittel, B.; Ruelle, D.; Speer, E. R. 10 2016 Entropy production in nonequilibrium statistical mechanics. Zbl 0888.60082Ruelle, David 10 1997 Resonances for intermittent systems. Zbl 0673.58030Baladi, V.; Eckmann, J.-P.; Ruelle, D. 10 1989 Is our mathematics natural? The case of equilibrium statistical mechanics. Zbl 0649.00028Ruelle, David 10 1988 On the interpretation of 1/f noise. Zbl 0532.60062Marinari, E.; Parisi, G.; Ruelle, D.; Windey, P. 10 1983 Stable manifolds for maps. Zbl 0453.58018Ruelle, 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 0803.01014Atiyah, 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 0628.58043Ruelle, D. 9 1987 Bounds on complexity in reaction-diffusion systems. Zbl 0596.35065Kopell, Nancy; Ruelle, David 9 1986 Structure and \(f\)-dependence of the a.c.i.m. for a unimodal map \(f\) of Misiurewicz type. Zbl 1202.37008Ruelle, David 8 2009 Counting unbranched subgraphs. Zbl 0915.05068Ruelle, David 8 1999 Zeros of graph-counting polynomials. Zbl 0917.05074Ruelle, David 8 1999 Spectral properties of a class of operators associated with maps in one dimension. Zbl 0811.47002Ruelle, David 8 1991 Dynamical systems with turbulent behavior. Zbl 0452.34038Ruelle, David 8 1978 A mechanical model for Fourier’s law of heat conduction. Zbl 1246.82075Ruelle, David 7 2012 Phase transitions with four-spin interactions. Zbl 1219.82080Lebowitz, Joel L.; Ruelle, David 7 2011 Analycity of the susceptibility function for unimodal Markovian maps of the interval. Zbl 1089.37020Jiang, Yunping; Ruelle, David 7 2005 The Lorenz attractor and the problem of turbulence. Zbl 0355.76036Ruelle, David 7 1976 Linear response theory for diffeomorphisms with tangencies of stable and unstable manifolds – a contribution to the Gallavotti-Cohen chaotic hypothesis. Zbl 1408.37044Ruelle, David 1 2018 Central limit theorems, Lee-Yang zeros, and graph-counting polynomials. Zbl 1334.05065Lebowitz, J. L.; Pittel, B.; Ruelle, D.; Speer, E. R. 10 2016 Non-equilibrium statistical mechanics of turbulence. Zbl 1307.82016Ruelle, David 4 2014 A mechanical model for Fourier’s law of heat conduction. Zbl 1246.82075Ruelle, David 7 2012 Location of the Lee-Yang zeros and absence of phase transitions in some Ising spin systems. Zbl 1322.82004Lebowitz, Joel L.; Ruelle, David; Speer, Eugene R. 6 2012 Phase transitions with four-spin interactions. Zbl 1219.82080Lebowitz, Joel L.; Ruelle, David 7 2011 Singularities of the susceptibility of a Sinai-Ruelle-Bowen measure in the presence of stable-unstable tangencies. Zbl 1230.37044Ruelle, David 4 2011 Characterization of Lee-Yang polynomials. Zbl 1251.30005Ruelle, David 15 2010 A review of linear response theory for general differentiable dynamical systems. Zbl 1158.37305Ruelle, David 46 2009 Structure and \(f\)-dependence of the a.c.i.m. for a unimodal map \(f\) of Misiurewicz type. Zbl 1202.37008Ruelle, David 8 2009 Differentiation of SRB states for hyperbolic flows. Zbl 1165.37011Ruelle, David 14 2008 What physical quantities make sense in nonequilibrium statistical mechanics. Zbl 1156.82300Ruelle, David 3 2008 The mathematician’s brain. Zbl 1131.00001Ruelle, David 4 2007 Nonequilibrium statistical mechanics and entropy production in a classical infinite system of rotators. Zbl 1119.82036Ruelle, David 4 2007 What is…a strange attractor? Zbl 1137.37012Ruelle, David 3 2006 Differentiating the absolutely continuous invariant measure of an interval map \(f\) with respect to \(f\). Zbl 1080.37046Ruelle, David 15 2005 Analycity of the susceptibility function for unimodal Markovian maps of the interval. Zbl 1089.37020Jiang, Yunping; Ruelle, David 7 2005 Thermodynamic formalism. The mathematical structures of equilibrium statistical mechanics. 2nd edition. Zbl 1062.82001Ruelle, David 123 2004 Application of hyperbolic dynamics to physics: some problems and conjectures. Zbl 1102.37051Ruelle, David 12 2004 Extending the definition of entropy to nonequilibrium steady states. Zbl 1063.82020Ruelle, David P. 18 2003 Differentiation of SRB states: Correction and complements. Zbl 1019.37014Ruelle, David 11 2003 Perturbation theory for Lyapunov exponents of a toral map: Extension of a result of Shub and Wilkinson. Zbl 1023.37016Ruelle, David 3 2003 Is there a unified theory of nonequilibrium statistical mechanics? Zbl 1138.82332Ruelle, David 1 2003 Dynamical zeta functions and transfer operators. Zbl 1126.37305Ruelle, David 21 2002 How should one define entropy production for nonequilibrium quantum spin systems? Zbl 1027.82027Ruelle, David 6 2002 Grace-like polynomials. Zbl 1173.30304Ruelle, 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 1124.82300Ruelle, David 1 2002 Absolutely singular dynamical foliations. Zbl 1031.37029Ruelle, David; Wilkinson, Amie 28 2001 Entropy production in quantum spin systems. Zbl 1051.82003Ruelle, David 23 2001 Historical behaviour in smooth dynamical systems. Zbl 1067.37501Ruelle, David 18 2001 Natural nonequilibrium states in quantum statistical mechanics. Zbl 0988.82032Ruelle, David 43 2000 A remark on the equivalence of isokinetic and isoenergetic thermostats in the thermodynamic limit. Zbl 1055.82522Ruelle, David 5 2000 Conversations on mathematics with a visitor from outer space. Zbl 1031.00001Ruelle, David 1 2000 Statistical mechanics. Rigorous results. Zbl 1016.82500Ruelle, David 110 1999 Smooth dynamics and new theoretical ideas in nonequilibrium statistical mechanics. Zbl 0934.37010Ruelle, David 95 1999 Counting unbranched subgraphs. Zbl 0915.05068Ruelle, David 8 1999 Zeros of graph-counting polynomials. Zbl 0917.05074Ruelle, David 8 1999 General linear response formula in statistical mechanics, and the fluctuation-dissipation theorem far from equilibrium. Zbl 0940.82035Ruelle, David 36 1998 Nonequilibrium statistical mechanics near equilibrium: Computing higher-order terms. Zbl 0896.58071Ruelle, David 16 1998 Differentiation of SRB states. Zbl 0895.58045Ruelle, David 76 1997 SRB states and nonequilibrium statistical mechanics close to equilibrium. Zbl 0909.60091Gallavotti, Giovanni; Ruelle, David 30 1997 Entropy production in nonequilibrium statistical mechanics. Zbl 0888.60082Ruelle, David 10 1997 Positivity of entropy production in the presence of a random thermostat. Zbl 0931.37002Ruelle, David 6 1997 Sharp determinants and kneading operators for holomorphic maps. Zbl 0919.58008Baladi, V.; Kitaev, A.; Ruelle, D.; Semmes, S. 1 1997 Positivity of entropy production in nonequilibrium statistical mechanics. Zbl 0973.37014Ruelle, David 60 1996 Sharp determinants. Zbl 0856.47005Baladi, V.; Ruelle, D. 5 1996 Sharp zeta functions for smooth interval maps. Zbl 0924.58016Ruelle, D. 3 1996 Functional equation for dynamical zeta functions of Milnor-Thurston type. Zbl 0846.58047Ruelle, David 1 1996 Turbulence, strange attractors, and chaos. Zbl 0922.76009Ruelle, David (ed.) 13 1995 Dynamical zeta functions for piecewise monotone maps of the interval. Zbl 0805.58006Ruelle, David 33 1994 An extension of the theorem of Milnor and Thurston on the zeta functions of interval maps. Zbl 0818.58013Baladi, 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 0803.01014Atiyah, 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 0804.58043Ruelle, David 1 1994 Analytic completion for dynamical zeta functions. Zbl 0829.58033Ruelle, David 1 1993 Fundamental limitations for estimating dimensions and Lyapunov exponents in dynamical systems. Zbl 0759.58030Eckmann, J.-P.; Ruelle, D. 52 1992 Thermodynamic formalism for maps satisfying positive expansiveness and specification. Zbl 0772.58047Ruelle, David 18 1992 Equivalence of Gibbs and equilibrium states for homeomorphisms satisfying expansiveness and specification. Zbl 0763.54028Haydn, N. T. A.; Ruelle, D. 17 1992 Dynamical zeta functions: Where do they come from and what are they good for. Zbl 0947.37502Ruelle, David 4 1992 Spectral properties of a class of operators associated with conformal maps in two dimensions. Zbl 0753.47012Ruelle, David 3 1992 Spectral properties of a class of operators associated with maps in one dimension. Zbl 0811.47002Ruelle, David 8 1991 An extension of the theory of Fredholm determinants. Zbl 0732.47003Ruelle, David 40 1990 Deterministic chaos: The science and the fiction. Zbl 0702.58042Ruelle, D. 29 1990 Elements of differentiable dynamics and bifurcation theory. Zbl 0684.58001Ruelle, David 118 1989 The thermodynamic formalism for expanding maps. Zbl 0702.58056Ruelle, 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 0683.58001Ruelle, David 66 1989 Resonances for intermittent systems. Zbl 0673.58030Baladi, V.; Eckmann, J.-P.; Ruelle, D. 10 1989 Noncommutative algebras for hyperbolic diffeomorphisms. Zbl 0657.58026Ruelle, David 30 1988 Is our mathematics natural? The case of equilibrium statistical mechanics. Zbl 0649.00028Ruelle, David 10 1988 Some rigorous results on the Sherrington-Kirkpatrick spin glass model. Zbl 1108.82312Aizenman, M.; Lebowitz, J. L.; Ruelle, D. 65 1987 A mathematical reformulation of Derrida’s REM and GREM. Zbl 0617.60100Ruelle, David 62 1987 Resonances for axiom A flows. Zbl 0658.58026Ruelle, D. 17 1987 One-dimensional Gibbs states and Axiom A diffeomorphisms. Zbl 0628.58043Ruelle, D. 9 1987 Diagnosis of dynamical systems with fluctuating parameters. Zbl 0625.58005Ruelle, D. 4 1987 Locating resonances for axiom A dynamical systems. Zbl 0655.58026Ruelle, David 30 1986 Bounds on complexity in reaction-diffusion systems. Zbl 0596.35065Kopell, Nancy; Ruelle, David 9 1986 From dynamical systems to statistical mechanics and back. Zbl 0668.58050Ruelle, D.; Sinaj, Ya. G. 3 1986 Ergodic theory of chaos and strange attractors. Zbl 0989.37516Eckmann, J. P.; Ruelle, D. 754 1985 Rotation numbers for diffeomorphisms and flows. Zbl 0556.58026Ruelle, David 13 1985 Addendum: Ergodic theory of chaos and strange attractors. Zbl 1396.37043Eckmann, J. P.; Ruelle, D. 2 1985 Ergodic aspects of turbulence theory. Zbl 1063.37578Ruelle, D. 1 1985 Characteristic exponents for a viscous fluid subjected to time dependent forces. Zbl 0565.76031Ruelle, David 40 1984 Flots qui ne mélangent pas exponentiellement. Zbl 0531.58040Ruelle, David 21 1983 On the interpretation of 1/f noise. Zbl 0532.60062Marinari, E.; Parisi, G.; Ruelle, D.; Windey, P. 10 1983 Five turbulent problems. Zbl 1194.37095Ruelle, David 2 1983 Repellers for real analytic maps. Zbl 0506.58024Ruelle, David 133 1982 Characteristic exponents and invariant manifolds in Hilbert space. Zbl 0493.58015Ruelle, David 131 1982 Large volume limit of the distribution of characteristic exponents in turbulence. Zbl 0546.76083Ruelle, David 28 1982 Statistical mechanics of vortices in an inviscid two-dimensional fluid. Zbl 0505.76037Fröhlich, Jürg; Ruelle, David 20 1982 On Feigenbaum’s functional equation gg(lambdax)+lambdag(x)=0. Zbl 0513.58034Campanino, M.; Epstein, H.; Ruelle, D. 15 1982 Small random perturbations of dynamical systems and the definition of attractors. Zbl 0482.58017Ruelle, David 41 1981 Differentiable dynamical systems and the problem of turbulence. Zbl 0474.76052Ruelle, David 14 1981 The pressure of the geodesic flow on a negatively curved manifold. Zbl 0599.58038Ruelle, David 1 1981 Strange attractors. Zbl 0487.58014Ruelle, David 28 1980 Measures describing a turbulent flow. Zbl 0474.76056Ruelle, David 12 1980 Stable manifolds for maps. Zbl 0453.58018Ruelle, David; Shub, Michael 10 1980 Strange attractors and characteristic exponents of turbulent flows. Zbl 0518.34036Ruelle, David 1 1980 Ergodic theory of differentiable dynamical systems. Zbl 0426.58014Ruelle, David 205 1979 Analycity properties of the characteristic exponents of random matrix products. Zbl 0426.58018Ruelle, D. 57 1979 Sensitive dependence on initial condition and turbulent behavior of dynamical systems. Zbl 0438.58003Ruelle, David 13 1979 Thermodynamic formalism. The mathematical structures of classical equilibrium. Statistical mechanics. With a foreword by Giovanni Gallavotti. Zbl 0401.28016Ruelle, David 341 1978 ...and 42 more Documents all cited Publications top 5 cited Publications 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 all top 5 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 all top 5 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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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