Edit Profile (opens in new tab) Ruelle, David Pierre Compute Distance To: Compute Author ID: ruelle.david-pierre Published as: Ruelle, David; Ruelle, D.; Ruelle, David Pierre; Ruelle, David P. more...less Homepage: http://www.ihes.fr/~ruelle/ External Links: MGP · ORCID · Wikidata · Math-Net.Ru · dblp · GND · IdRef Documents Indexed: 174 Publications since 1958, including 13 Books 1 Contribution as Editor · 6 Further Contributions Biographic References: 3 Publications Co-Authors: 53 Co-Authors with 35 Joint Publications 2,086 Co-Co-Authors all top 5 Co-Authors 138 single-authored 5 Eckmann, Jean-Pierre 4 Baladi, Viviane 4 Hepp, Klaus 4 Lebowitz, Joel Louis 3 Bergé, Pierre 3 Pomeau, Yves 3 Takens, Floris 3 Vidal, Christian 2 Borzacchini, Luigi 2 Glimm, James G. 2 Jaffe, Arthur Michael 2 Lanford, Oscar E. III 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 John 1 Dell’Antonio, C.-F. 1 DeWitt-Morette, Cécile 1 Doplicher, Sergio 1 Epstein, Henri 1 Friedan, Daniel Harry 1 Fröhlich, Jürg Martin 1 Fröhling, Jüerg 1 Gallavotti, Giovanni M. 1 Ginibre, Jean 1 Glaser, Vladimir Jurko 1 Gray, Jeremy John 1 Griffiths, Robert B. 1 Guerra, Francesco 1 Haydn, Nicolai T. A. 1 Hirsch, Morris W. 1 Isola, Stefano 1 Jiang, Yunping 1 Jost, Res 1 Kopell, Nancy J. 1 Lieb, Elliott H. 1 Mac Lane, Leslie Saunders 1 Mandelbrot, Benoit B. 1 Marinari, Enzo 1 N. Stehlíková 1 Nappi, Chiara R. 1 Nelson, Joseph Edward 1 Newhouse, Sheldon E. 1 Parisi, Giorgio 1 Pittel, Boris G. 1 Robinson, Derek W. 1 Rugh, Hans Henrik 1 Schwarz, Albert S. 1 Semmes, Stephen W. 1 Shub, Michael 1 Simon, Barry 1 Sinaĭ, Yakov Grigor’evich 1 Steinmann, Othmar 1 Stora, Raymond 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 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 all top 5 Fields 91 Dynamical systems and ergodic theory (37-XX) 49 Statistical mechanics, structure of matter (82-XX) 21 Fluid mechanics (76-XX) 16 Measure and integration (28-XX) 15 General and overarching topics; collections (00-XX) 14 Probability theory and stochastic processes (60-XX) 12 Global analysis, analysis on manifolds (58-XX) 9 History and biography (01-XX) 8 Operator theory (47-XX) 8 General topology (54-XX) 7 Quantum theory (81-XX) 4 Combinatorics (05-XX) 4 Functions of a complex variable (30-XX) 4 Functional analysis (46-XX) 4 Classical thermodynamics, heat transfer (80-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) Publications by Year all cited Publications top 5 cited Publications 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 0989.37516Eckmann, J. P.; Ruelle, D. 786 1985 Statistical mechanics. Rigorous results. Zbl 0177.57301Ruelle, David 528 1969 On the nature of turbulence. Zbl 0223.76041Ruelle, David; Takens, Floris 474 1971 The ergodic theory of axiom A flows. Zbl 0311.58010Bowen, Rufus; Ruelle, David 298 1975 Thermodynamic formalism. The mathematical structures of classical equilibrium. Statistical mechanics. With a foreword by Giovanni Gallavotti. Zbl 0401.28016Ruelle, David 265 1978 Ergodic theory of differentiable dynamical systems. Zbl 0426.58014Ruelle, David 203 1979 Superstable interactions in classical statistical mechanics. Zbl 0198.31101Ruelle, D. 186 1970 A measure associated with axiom-A attractors. Zbl 0355.58010Ruelle, David 176 1976 An inequality for the entropy of differentiable maps. Zbl 0432.58013Ruelle, David 167 1978 Repellers for real analytic maps. Zbl 0506.58024Ruelle, David 150 1982 Thermodynamic formalism. The mathematical structures of equilibrium statistical mechanics. 2nd edition. Zbl 1062.82001Ruelle, David 148 2004 Statistical mechanics of a one-dimensional lattice gas. Zbl 0165.29102Ruelle, D. 143 1968 Characteristic exponents and invariant manifolds in Hilbert space. Zbl 0493.58015Ruelle, David 140 1982 Zeta-functions for expanding maps and Anosov flows. Zbl 0329.58014Ruelle, David 135 1976 Statistical mechanics. Rigorous results. Zbl 1016.82500Ruelle, David 126 1999 Occurrence of strange Axiom A attractors near quasi periodic flows on \(T^m\), \(m\geq 3\). Zbl 0396.58029Newhouse, S.; Ruelle, D.; Takens, F. 125 1978 Elements of differentiable dynamics and bifurcation theory. Zbl 0684.58001Ruelle, David 119 1989 Note concerning our paper ”On the nature of turbulence”. Commun. math. Phys. 20, 167-192 (1971). Zbl 0227.76084Ruelle, D.; Takens, F. 113 1971 Statistical mechanics on a compact set with Z\(^\nu\) action satisfying expansiveness and specification. Zbl 0278.28012Ruelle, David 97 1974 Smooth dynamics and new theoretical ideas in nonequilibrium statistical mechanics. Zbl 0934.37010Ruelle, David 94 1999 Differentiation of SRB states. Zbl 0895.58045Ruelle, David 90 1997 The thermodynamic formalism for expanding maps. Zbl 0702.58056Ruelle, David 88 1989 Currents, flows and diffeomorphisms. Zbl 0321.58019Ruelle, David; Sullivan, Dennis 77 1975 Some remarks on the ground state of infinite systems in statistical mechanics. Zbl 0169.57502Ruelle, D. 75 1969 Some rigorous results on the Sherrington-Kirkpatrick spin glass model. Zbl 1108.82312Aizenman, M.; Lebowitz, J. L.; Ruelle, D. 75 1987 A mathematical reformulation of Derrida’s REM and GREM. Zbl 0617.60100Ruelle, David 65 1987 Positivity of entropy production in nonequilibrium statistical mechanics. Zbl 0973.37014Ruelle, David 63 1996 Analycity properties of the characteristic exponents of random matrix products. Zbl 0426.58018Ruelle, D. 60 1979 A review of linear response theory for general differentiable dynamical systems. Zbl 1158.37305Ruelle, David 58 2009 Fundamental limitations for estimating dimensions and Lyapunov exponents in dynamical systems. Zbl 0759.58030Eckmann, J.-P.; Ruelle, D. 54 1992 Mean entropy of states in classical statistical mechanics. Zbl 0144.48205Robinson, D. W.; Ruelle, D. 52 1967 Bifurcations in the presence of a symmetry group. Zbl 0259.58009Ruelle, David 52 1973 Characteristic exponents for a viscous fluid subjected to time dependent forces. Zbl 0565.76031Ruelle, David 46 1984 General linear response formula in statistical mechanics, and the fluctuation-dissipation theorem far from equilibrium. Zbl 0940.82035Ruelle, David 45 1998 Natural nonequilibrium states in quantum statistical mechanics. Zbl 0988.82032Ruelle, David 45 2000 An extension of the theory of Fredholm determinants. Zbl 0732.47003Ruelle, David 42 1990 Small random perturbations of dynamical systems and the definition of attractors. Zbl 0482.58017Ruelle, David 42 1981 On the asymptotic condition in quantum field theory. Zbl 0158.45702Ruelle, 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 0683.58001Ruelle, David 39 1989 Applications conservant une mesure absolument continue par rapport à \(dx\) sur \([0,1]\). Zbl 0362.28013Ruelle, D. 39 1977 Noncommutative algebras for hyperbolic diffeomorphisms. Zbl 0657.58026Ruelle, David 37 1988 State of physical systems. Zbl 0141.44604Ruelle, 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 0669.58022Bergé, Pierre; Pomeau, Yves; Vidal, Christian 35 1984 Dynamical zeta functions for piecewise monotone maps of the interval. Zbl 0805.58006Ruelle, David 32 1994 Generalized zeta-functions for axiom A basic sets. Zbl 0316.58016Ruelle, D. 32 1976 Large volume limit of the distribution of characteristic exponents in turbulence. Zbl 0546.76083Ruelle, David 32 1982 Locating resonances for axiom A dynamical systems. Zbl 0655.58026Ruelle, David 30 1986 Absolutely singular dynamical foliations. Zbl 1031.37029Ruelle, David; Wilkinson, Amie 30 2001 SRB states and nonequilibrium statistical mechanics close to equilibrium. Zbl 0909.60091Gallavotti, Giovanni; Ruelle, David 29 1997 Strange attractors. Zbl 0487.58014Ruelle, David 29 1980 Deterministic chaos: The science and the fiction. Zbl 0702.58042Ruelle, D. 28 1990 Integral representations of invariant states on \(B^ *\)-algebras. Zbl 0166.11402Lanford, O.; Ruelle, D. 27 1967 Entropy production in quantum spin systems. Zbl 1051.82003Ruelle, David 25 2001 Historical behaviour in smooth dynamical systems. Zbl 1067.37501Ruelle, David 24 2001 Dynamical zeta functions and transfer operators. Zbl 1126.37305Ruelle, David 23 2002 Flots qui ne mélangent pas exponentiellement. Zbl 0531.58040Ruelle, David 23 1983 Statistical mechanics of vortices in an inviscid two-dimensional fluid. Zbl 0505.76037Fröhlich, Jürg; Ruelle, David 22 1982 Nonequilibrium statistical mechanics near equilibrium: Computing higher-order terms. Zbl 0896.58071Ruelle, David 21 1998 Resonances for axiom A flows. Zbl 0658.58026Ruelle, D. 21 1987 Equivalence of Gibbs and equilibrium states for homeomorphisms satisfying expansiveness and specification. Zbl 0763.54028Haydn, N. T. A.; Ruelle, D. 21 1992 A variational formulation of equilibrium statistical mechanics and the Gibbs phase rule. Zbl 0154.46502Ruelle, D. 19 1967 Thermodynamic formalism for maps satisfying positive expansiveness and specification. Zbl 0772.58047Ruelle, David 19 1992 Differentiating the absolutely continuous invariant measure of an interval map \(f\) with respect to \(f\). Zbl 1080.37046Ruelle, David 19 2005 Connection between Wightman functions and Green functions in \(p\)-space. Zbl 0097.43003Ruelle, D. 17 1961 Differentiation of SRB states for hyperbolic flows. Zbl 1165.37011Ruelle, David 17 2008 Correlation functionals. Zbl 0127.21501Ruelle, D. 17 1965 Extending the definition of entropy to nonequilibrium steady states. Zbl 1063.82020Ruelle, David P. 16 2003 A theorem on canonical commutation and anticommutation relations. Zbl 0178.58001Dell’Antonio, C.-F.; Doplicher, S.; Ruelle, D. 16 1966 On Feigenbaum’s functional equation gg(lambdax)+lambdag(x)=0. Zbl 0513.58034Campanino, M.; Epstein, H.; Ruelle, D. 16 1982 Differentiation of SRB states: Correction and complements. Zbl 1019.37014Ruelle, David 15 2003 Central limit theorems, Lee-Yang zeros, and graph-counting polynomials. Zbl 1334.05065Lebowitz, 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 0818.58013Baladi, V.; Ruelle, D. 15 1994 Characterization of Lee-Yang polynomials. Zbl 1251.30005Ruelle, David 15 2010 Rotation numbers for diffeomorphisms and flows. Zbl 0556.58026Ruelle, David 15 1985 States of classical statistical mechanics. Zbl 0154.46503Ruelle, D. 14 1967 Some remarks on the location of zeroes of the partition function for lattice systems. Zbl 1125.82311Ruelle, David 14 1973 Differentiable dynamical systems and the problem of turbulence. Zbl 0474.76052Ruelle, David 13 1981 Statistical mechanics on a compact set with Z\(^\nu\) action satisfying expansiveness and specification. Zbl 0255.28015Ruelle, David 13 1972 Turbulence, strange attractors, and chaos. Zbl 0922.76009 12 1995 Classical statistical mechanics of a system of particles. Zbl 0113.45606Ruelle, D. 12 1963 Integral representation of states on a \(C^*\)-algebra. Zbl 0196.14902Ruelle, D. 12 1970 Application of hyperbolic dynamics to physics: some problems and conjectures. Zbl 1102.37051Ruelle, David 12 2004 Structure and \(f\)-dependence of the a.c.i.m. for a unimodal map \(f\) of Misiurewicz type. Zbl 1202.37008Ruelle, David 12 2009 Measures describing a turbulent flow. Zbl 0474.76056Ruelle, David 12 1980 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 Analycity of the susceptibility function for unimodal Markovian maps of the interval. Zbl 1089.37020Jiang, Yunping; Ruelle, David 10 2005 Bounds on complexity in reaction-diffusion systems. Zbl 0596.35065Kopell, Nancy; Ruelle, David 9 1986 Zeros of graph-counting polynomials. Zbl 0917.05074Ruelle, David 9 1999 Counting unbranched subgraphs. Zbl 0915.05068Ruelle, David 9 1999 One-dimensional Gibbs states and Axiom A diffeomorphisms. Zbl 0628.58043Ruelle, D. 9 1987 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 Stable manifolds for maps. Zbl 0453.58018Ruelle, David; Shub, Michael 9 1980 On the interpretation of 1/f noise. Zbl 0532.60062Marinari, E.; Parisi, G.; Ruelle, D.; Windey, P. 9 1983 On the asymptotic behaviour of Wightman functions in space-like directions. Zbl 0161.23503Araki, H.; Hepp, K.; Ruelle, D. 7 1962 Dynamical systems with turbulent behavior. Zbl 0452.34038Ruelle, David 7 1978 The Lorenz attractor and the problem of turbulence. Zbl 0355.76036Ruelle, David 7 1976 Phase transitions with four-spin interactions. Zbl 1219.82080Lebowitz, Joel L.; Ruelle, David 7 2011 A mechanical model for Fourier’s law of heat conduction. Zbl 1246.82075Ruelle, David 7 2012 Linear response theory for diffeomorphisms with tangencies of stable and unstable manifolds – a contribution to the Gallavotti-Cohen chaotic hypothesis. Zbl 1408.37044Ruelle, David 3 2018 Central limit theorems, Lee-Yang zeros, and graph-counting polynomials. Zbl 1334.05065Lebowitz, J. L.; Pittel, B.; Ruelle, D.; Speer, E. R. 15 2016 A generalized detailed balance relation. Zbl 1348.82070Ruelle, David 1 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 58 2009 Structure and \(f\)-dependence of the a.c.i.m. for a unimodal map \(f\) of Misiurewicz type. Zbl 1202.37008Ruelle, David 12 2009 Differentiation of SRB states for hyperbolic flows. Zbl 1165.37011Ruelle, David 17 2008 What physical quantities make sense in nonequilibrium statistical mechanics. Zbl 1156.82300Ruelle, David 3 2008 Nonequilibrium statistical mechanics and entropy production in a classical infinite system of rotators. Zbl 1119.82036Ruelle, David 4 2007 The mathematician’s brain. Zbl 1131.00001Ruelle, David 4 2007 What is…a strange attractor? Zbl 1137.37012Ruelle, David 4 2006 Differentiating the absolutely continuous invariant measure of an interval map \(f\) with respect to \(f\). Zbl 1080.37046Ruelle, David 19 2005 Analycity of the susceptibility function for unimodal Markovian maps of the interval. Zbl 1089.37020Jiang, Yunping; Ruelle, David 10 2005 Thermodynamic formalism. The mathematical structures of equilibrium statistical mechanics. 2nd edition. Zbl 1062.82001Ruelle, David 148 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. 16 2003 Differentiation of SRB states: Correction and complements. Zbl 1019.37014Ruelle, David 15 2003 Perturbation theory for Lyapunov exponents of a toral map: Extension of a result of Shub and Wilkinson. Zbl 1023.37016Ruelle, David 4 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 23 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 30 2001 Entropy production in quantum spin systems. Zbl 1051.82003Ruelle, David 25 2001 Historical behaviour in smooth dynamical systems. Zbl 1067.37501Ruelle, David 24 2001 Natural nonequilibrium states in quantum statistical mechanics. Zbl 0988.82032Ruelle, David 45 2000 A remark on the equivalence of isokinetic and isoenergetic thermostats in the thermodynamic limit. Zbl 1055.82522Ruelle, David 3 2000 Conversations on mathematics with a visitor from outer space. Zbl 1031.00001Ruelle, David 1 2000 Statistical mechanics. Rigorous results. Zbl 1016.82500Ruelle, David 126 1999 Smooth dynamics and new theoretical ideas in nonequilibrium statistical mechanics. Zbl 0934.37010Ruelle, David 94 1999 Zeros of graph-counting polynomials. Zbl 0917.05074Ruelle, David 9 1999 Counting unbranched subgraphs. Zbl 0915.05068Ruelle, David 9 1999 General linear response formula in statistical mechanics, and the fluctuation-dissipation theorem far from equilibrium. Zbl 0940.82035Ruelle, David 45 1998 Nonequilibrium statistical mechanics near equilibrium: Computing higher-order terms. Zbl 0896.58071Ruelle, David 21 1998 Differentiation of SRB states. Zbl 0895.58045Ruelle, David 90 1997 SRB states and nonequilibrium statistical mechanics close to equilibrium. Zbl 0909.60091Gallavotti, Giovanni; Ruelle, David 29 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 63 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 0922.76009 12 1995 Dynamical zeta functions for piecewise monotone maps of the interval. Zbl 0805.58006Ruelle, David 32 1994 An extension of the theorem of Milnor and Thurston on the zeta functions of interval maps. Zbl 0818.58013Baladi, 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 0803.01014Atiyah, 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. 54 1992 Equivalence of Gibbs and equilibrium states for homeomorphisms satisfying expansiveness and specification. Zbl 0763.54028Haydn, N. T. A.; Ruelle, D. 21 1992 Thermodynamic formalism for maps satisfying positive expansiveness and specification. Zbl 0772.58047Ruelle, David 19 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 6 1991 An extension of the theory of Fredholm determinants. Zbl 0732.47003Ruelle, David 42 1990 Deterministic chaos: The science and the fiction. Zbl 0702.58042Ruelle, D. 28 1990 Elements of differentiable dynamics and bifurcation theory. Zbl 0684.58001Ruelle, David 119 1989 The thermodynamic formalism for expanding maps. Zbl 0702.58056Ruelle, 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 0683.58001Ruelle, David 39 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 37 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. 75 1987 A mathematical reformulation of Derrida’s REM and GREM. Zbl 0617.60100Ruelle, David 65 1987 Resonances for axiom A flows. Zbl 0658.58026Ruelle, D. 21 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. 4 1986 Ergodic theory of chaos and strange attractors. Zbl 0989.37516Eckmann, J. P.; Ruelle, D. 786 1985 Rotation numbers for diffeomorphisms and flows. Zbl 0556.58026Ruelle, David 15 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 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 0669.58022Bergé, Pierre; Pomeau, Yves; Vidal, Christian 35 1984 Flots qui ne mélangent pas exponentiellement. Zbl 0531.58040Ruelle, David 23 1983 On the interpretation of 1/f noise. Zbl 0532.60062Marinari, E.; Parisi, G.; Ruelle, D.; Windey, P. 9 1983 Five turbulent problems. Zbl 1194.37095Ruelle, David 2 1983 Repellers for real analytic maps. Zbl 0506.58024Ruelle, David 150 1982 Characteristic exponents and invariant manifolds in Hilbert space. Zbl 0493.58015Ruelle, David 140 1982 Large volume limit of the distribution of characteristic exponents in turbulence. Zbl 0546.76083Ruelle, David 32 1982 Statistical mechanics of vortices in an inviscid two-dimensional fluid. Zbl 0505.76037Fröhlich, Jürg; Ruelle, David 22 1982 On Feigenbaum’s functional equation gg(lambdax)+lambdag(x)=0. Zbl 0513.58034Campanino, M.; Epstein, H.; Ruelle, D. 16 1982 Small random perturbations of dynamical systems and the definition of attractors. Zbl 0482.58017Ruelle, David 42 1981 Differentiable dynamical systems and the problem of turbulence. Zbl 0474.76052Ruelle, David 13 1981 The pressure of the geodesic flow on a negatively curved manifold. Zbl 0599.58038Ruelle, David 1 1981 Strange attractors. Zbl 0487.58014Ruelle, David 29 1980 Measures describing a turbulent flow. Zbl 0474.76056Ruelle, David 12 1980 Stable manifolds for maps. Zbl 0453.58018Ruelle, David; Shub, Michael 9 1980 Ergodic theory of differentiable dynamical systems. Zbl 0426.58014Ruelle, David 203 1979 Analycity properties of the characteristic exponents of random matrix products. Zbl 0426.58018Ruelle, D. 60 1979 Sensitive dependence on initial condition and turbulent behavior of dynamical systems. Zbl 0438.58003Ruelle, David 6 1979 ...and 43 more Documents all cited Publications top 5 cited Publications 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 all top 5 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 all top 5 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 Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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