Ruelle, David [Borzacchini, Luigi] The mathematician’s brain. With a preface by Luigi Borzacchini. Translated from the English by Laura Bussotti. Reprint of the 2009 edition. (La mente matematica.) (Italian) Zbl 1462.00003 Memorabili. Bari: Edizioni Dedalo (ISBN 978-88-220-6510-0). 224 p. (2021). MSC: 00A05 PDFBibTeX XMLCite \textit{D. Ruelle}, La mente matematica (Italian). Reprint of the 2009 edition. Bari: Edizioni Dedalo (2021; Zbl 1462.00003)
Ruelle, David Identities for correlation functions in classical statistical mechanics and the problem of crystal states. (English) Zbl 1451.82013 J. Stat. Phys. 180, No. 1-6, 1002-1009 (2020). Reviewer: Piotr Garbaczewski (Opole) MSC: 82B21 82D25 PDFBibTeX XMLCite \textit{D. Ruelle}, J. Stat. Phys. 180, No. 1--6, 1002--1009 (2020; Zbl 1451.82013) Full Text: DOI arXiv
Rugh, Hans Henrik [Ruelle, David] An interview with David Ruelle. (English) Zbl 1432.01095 Eur. Math. Soc. Newsl. 115, 21-24 (2020). MSC: 01A70 PDFBibTeX XMLCite \textit{H. H. Rugh}, Eur. Math. Soc. Newsl. 115, 21--24 (2020; Zbl 1432.01095) Full Text: DOI
Ruelle, David Linear response theory for diffeomorphisms with tangencies of stable and unstable manifolds – a contribution to the Gallavotti-Cohen chaotic hypothesis. (English) Zbl 1408.37044 Nonlinearity 31, No. 12, 5683-5691 (2018). MSC: 37C40 37C15 37D20 37D45 PDFBibTeX XMLCite \textit{D. Ruelle}, Nonlinearity 31, No. 12, 5683--5691 (2018; Zbl 1408.37044) Full Text: DOI arXiv
Ruelle, David Graph-counting polynomials for oriented graphs. (English) Zbl 1401.05150 J. Stat. Phys. 173, No. 2, 243-248 (2018). MSC: 05C30 05C31 PDFBibTeX XMLCite \textit{D. Ruelle}, J. Stat. Phys. 173, No. 2, 243--248 (2018; Zbl 1401.05150) Full Text: DOI arXiv
Ruelle, David A theory of hydrodynamic turbulence based on non-equilibrium statistical mechanics. (English) Zbl 1387.82045 J. Stat. Phys. 169, No. 6, 1039-1044 (2017). MSC: 82C35 76F02 PDFBibTeX XMLCite \textit{D. Ruelle}, J. Stat. Phys. 169, No. 6, 1039--1044 (2017; Zbl 1387.82045) Full Text: DOI arXiv
Ruelle, David A generalized detailed balance relation. (English) Zbl 1348.82070 J. Stat. Phys. 164, No. 3, 463-471 (2016). MSC: 82C35 PDFBibTeX XMLCite \textit{D. Ruelle}, J. Stat. Phys. 164, No. 3, 463--471 (2016; Zbl 1348.82070) Full Text: DOI arXiv
Ruelle, David Biology and nonequilibrium: remarks on a paper by J.L. England. arXiv:1502.01600 Preprint, arXiv:1502.01600 [math-ph] (2015). MSC: 92C05 BibTeX Cite \textit{D. Ruelle}, ``Biology and nonequilibrium: remarks on a paper by J.L. England'', Preprint, arXiv:1502.01600 [math-ph] (2015) Full Text: arXiv OA License
Ruelle, David Non-equilibrium statistical mechanics of turbulence. (English) Zbl 1307.82016 J. Stat. Phys. 157, No. 2, 205-218 (2014). Reviewer: Guy Jumarie (Montréal) MSC: 82C35 76F02 PDFBibTeX XMLCite \textit{D. Ruelle}, J. Stat. Phys. 157, No. 2, 205--218 (2014; Zbl 1307.82016) Full Text: DOI arXiv
Ruelle, David A mechanical model for Fourier’s law of heat conduction. (English) Zbl 1246.82075 Commun. Math. Phys. 311, No. 3, 755-768 (2012). Reviewer: Dominik Strzałka (Rzeszów) MSC: 82C35 80A20 PDFBibTeX XMLCite \textit{D. Ruelle}, Commun. Math. Phys. 311, No. 3, 755--768 (2012; Zbl 1246.82075) Full Text: DOI arXiv
Ruelle, David Pierre Floris Takens. (English) Zbl 1279.01046 Indag. Math., New Ser. 22, No. 3-4, 147-148 (2011). MSC: 01A70 37-03 PDFBibTeX XMLCite \textit{D. P. Ruelle}, Indag. Math., New Ser. 22, No. 3--4, 147--148 (2011; Zbl 1279.01046) Full Text: DOI
Ruelle, David Singularities of the susceptibility of a Sinai-Ruelle-Bowen measure in the presence of stable-unstable tangencies. (English) Zbl 1230.37044 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 369, No. 1935, 482-493 (2011). Reviewer: Kazuhiro Sakai (Utsunomiya) MSC: 37D25 37D20 37C40 PDFBibTeX XMLCite \textit{D. Ruelle}, Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 369, No. 1935, 482--493 (2011; Zbl 1230.37044) Full Text: DOI arXiv
Ruelle, David Characterization of Lee-Yang polynomials. (English) Zbl 1251.30005 Ann. Math. (2) 171, No. 1, 589-603 (2010). Reviewer: George Csordas (Honolulu) MSC: 30C15 26C10 82B20 82B26 PDFBibTeX XMLCite \textit{D. Ruelle}, Ann. Math. (2) 171, No. 1, 589--603 (2010; Zbl 1251.30005) Full Text: DOI arXiv Link
Ruelle, David The mathematician’s brain. Transl. from the English by Nicola Fischer. (Wie Mathematiker ticken. Geniale Köpfe – ihre Gedankenwelt und ihre größten Erkenntnisse.) (German) Zbl 1210.00007 Dordrecht: Springer (ISBN 978-3-642-04110-5/hbk). ix, 199 p. (2010). Reviewer: Jürgen Appell (Würzburg) MSC: 00A05 PDFBibTeX XMLCite \textit{D. Ruelle}, Wie Mathematiker ticken. Geniale Köpfe -- ihre Gedankenwelt und ihre größten Erkenntnisse. Dordrecht: Springer (2010; Zbl 1210.00007)
Ruelle, David [Borzacchini, Luigi] The mathematician’s brain. With a preface by Luigi Borzacchini. Translated from the English by Laura Bussotti. (La mente matematica.) (Italian) Zbl 1436.00003 La Scienza Nuova 142. Bari: Edizioni Dedalo (ISBN 978-88-220-0242-6). 224 p. (2009). MSC: 00A05 PDFBibTeX XMLCite \textit{D. Ruelle}, La mente matematica (Italian). Bari: Edizioni Dedalo (2009; Zbl 1436.00003)
Ruelle, David Structure and \(f\)-dependence of the a.c.i.m. for a unimodal map \(f\) of Misiurewicz type. (English) Zbl 1202.37008 Commun. Math. Phys. 287, No. 3, 1039-1070 (2009). Reviewer: Yoshihide Kozai (Suginami Tokyo) MSC: 37A30 37E05 PDFBibTeX XMLCite \textit{D. Ruelle}, Commun. Math. Phys. 287, No. 3, 1039--1070 (2009; Zbl 1202.37008) Full Text: DOI arXiv
Ruelle, David A review of linear response theory for general differentiable dynamical systems. (English) Zbl 1158.37305 Nonlinearity 22, No. 4, 855-870 (2009). MSC: 37D45 82C05 PDFBibTeX XMLCite \textit{D. Ruelle}, Nonlinearity 22, No. 4, 855--870 (2009; Zbl 1158.37305) Full Text: DOI arXiv
Ruelle, David What physical quantities make sense in nonequilibrium statistical mechanics. (English) Zbl 1156.82300 Gallavotti, Giovanni (ed.) et al., Boltzmann’s legacy. Papers based on the presentations at the international symposium, Vienna, Austria, June 7–9, 2006. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-057-9/pbk). ESI Lectures in Mathematics and Physics, 89-97 (2008). MSC: 82-02 82-03 01A55 01A60 PDFBibTeX XMLCite \textit{D. Ruelle}, in: Boltzmann's legacy. Papers based on the presentations at the international symposium, Vienna, Austria, June 7--9, 2006. Zürich: European Mathematical Society (EMS). 89--97 (2008; Zbl 1156.82300)
Ruelle, David Differentiation of SRB states for hyperbolic flows. (English) Zbl 1165.37011 Ergodic Theory Dyn. Syst. 28, No. 2, 613-631 (2008). Reviewer: Andrzej Piatkowski (Łódź) MSC: 37D20 PDFBibTeX XMLCite \textit{D. Ruelle}, Ergodic Theory Dyn. Syst. 28, No. 2, 613--631 (2008; Zbl 1165.37011) Full Text: DOI arXiv
Ruelle, David The mathematician’s brain. (English) Zbl 1131.00001 Princeton, N J: Princeton University Press (ISBN 978-0-691-12982-2/hbk). ix, 160 p. (2007). Reviewer: Radoslav M. Dimitrić (Uniontown) MSC: 00A05 PDFBibTeX XMLCite \textit{D. Ruelle}, The mathematician's brain. Princeton, N J: Princeton University Press (2007; Zbl 1131.00001)
Ruelle, David Nonequilibrium statistical mechanics and entropy production in a classical infinite system of rotators. (English) Zbl 1119.82036 Commun. Math. Phys. 270, No. 1, 233-265 (2007). Reviewer: Piotr Garbaczewski (Opole) MSC: 82C35 37K60 37L60 82C22 80A20 PDFBibTeX XMLCite \textit{D. Ruelle}, Commun. Math. Phys. 270, No. 1, 233--265 (2007; Zbl 1119.82036) Full Text: DOI arXiv
Ruelle, David [N. Stehlíková] Dialogs on mathematics with an extraterrestrial visitor. (Czech) Zbl 1265.00001 Pokroky Mat. Fyz. Astron. 51, No. 2, 138-146 (2006). MSC: 00A05 PDFBibTeX XMLCite \textit{D. Ruelle}, Pokroky Mat. Fyz. Astron. 51, No. 2, 138--146 (2006; Zbl 1265.00001)
Ruelle, David What is…a strange attractor? (English) Zbl 1137.37012 Notices Am. Math. Soc. 53, No. 7, 764-765 (2006). Reviewer: Olaf Ninnemann (Berlin) MSC: 37C70 37D45 82B03 PDFBibTeX XMLCite \textit{D. Ruelle}, Notices Am. Math. Soc. 53, No. 7, 764--765 (2006; Zbl 1137.37012) Full Text: Link
Ruelle, David Differentiating the absolutely continuous invariant measure of an interval map \(f\) with respect to \(f\). (English) Zbl 1080.37046 Commun. Math. Phys. 258, No. 2, 445-453 (2005). MSC: 37E05 37A05 37C40 82B03 PDFBibTeX XMLCite \textit{D. Ruelle}, Commun. Math. Phys. 258, No. 2, 445--453 (2005; Zbl 1080.37046) Full Text: DOI arXiv
Ruelle, David Thermodynamic formalism. The mathematical structures of equilibrium statistical mechanics. 2nd edition. (English) Zbl 1062.82001 Cambridge Mathematical Library. Cambridge: Cambridge University Press. (ISBN 0-521-54649-4/pbk). xx, 174 p. (2004). Reviewer: Olaf Ninnemann (Berlin) MSC: 82-01 37-02 37D35 01A75 82B30 82B05 37A60 37C30 37D20 80A10 80A05 PDFBibTeX XMLCite \textit{D. Ruelle}, Thermodynamic formalism. The mathematical structures of equilibrium statistical mechanics. 2nd edition. Cambridge: Cambridge University Press. (2004; Zbl 1062.82001) Full Text: DOI
Ruelle, David Application of hyperbolic dynamics to physics: some problems and conjectures. (English) Zbl 1102.37051 Bull. Am. Math. Soc., New Ser. 41, No. 3, 275-278 (2004). Reviewer: Messoud A. Efendiev (Berlin) MSC: 37N20 37C40 37D45 37D20 82C05 PDFBibTeX XMLCite \textit{D. Ruelle}, Bull. Am. Math. Soc., New Ser. 41, No. 3, 275--278 (2004; Zbl 1102.37051) Full Text: DOI
Ruelle, David P. Extending the definition of entropy to nonequilibrium steady states. (English) Zbl 1063.82020 Proc. Natl. Acad. Sci. USA 100, No. 6, 3054-3058 (2003). MSC: 82C03 37D35 37N20 PDFBibTeX XMLCite \textit{D. P. Ruelle}, Proc. Natl. Acad. Sci. USA 100, No. 6, 3054--3058 (2003; Zbl 1063.82020) Full Text: DOI arXiv
Ruelle, David Is there a unified theory of nonequilibrium statistical mechanics? (English) Zbl 1138.82332 Ann. Henri Poincaré 4, Suppl. 1, S489-S495 (2003). MSC: 82C05 PDFBibTeX XMLCite \textit{D. Ruelle}, Ann. Henri Poincaré 4, S489--S495 (2003; Zbl 1138.82332) Full Text: DOI
Ruelle, David Differentiation of SRB states: Correction and complements. (English) Zbl 1019.37014 Commun. Math. Phys. 234, No. 1, 185-190 (2003). MSC: 37D20 37C40 PDFBibTeX XMLCite \textit{D. Ruelle}, Commun. Math. Phys. 234, No. 1, 185--190 (2003; Zbl 1019.37014) Full Text: DOI
Ruelle, David Perturbation theory for Lyapunov exponents of a toral map: Extension of a result of Shub and Wilkinson. (English) Zbl 1023.37016 Isr. J. Math. 134, 345-361 (2003). Reviewer: A.Morimoto (Nagoya) MSC: 37D25 PDFBibTeX XMLCite \textit{D. Ruelle}, Isr. J. Math. 134, 345--361 (2003; Zbl 1023.37016) Full Text: DOI arXiv
Ruelle, David Irreversibility revisited. (English) Zbl 1140.82313 Fokas, A. (ed.) et al., Highlights of mathematical physics. In part papers from the 13th international congress, London, UK, July 17–22, 2000. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3223-9/hbk). 233-241 (2002). MSC: 82C03 37D45 37N20 82-02 PDFBibTeX XMLCite \textit{D. Ruelle}, in: Highlights of mathematical physics. In part papers from the 13th international congress, London, UK, July 17--22, 2000. Providence, RI: American Mathematical Society (AMS). 233--241 (2002; Zbl 1140.82313)
Ruelle, David Dynamical zeta functions and transfer operators. (English) Zbl 1126.37305 Notices Am. Math. Soc. 49, No. 8, 887-895 (2002). MSC: 37C30 11M41 37C25 37D20 47B38 PDFBibTeX XMLCite \textit{D. Ruelle}, Notices Am. Math. Soc. 49, No. 8, 887--895 (2002; Zbl 1126.37305) Full Text: Link
Ruelle, David How should one define entropy production for nonequilibrium quantum spin systems? (English) Zbl 1027.82027 Rev. Math. Phys. 14, No. 7-8, 701-707 (2002). MSC: 82C10 46L60 PDFBibTeX XMLCite \textit{D. Ruelle}, Rev. Math. Phys. 14, No. 7--8, 701--707 (2002; Zbl 1027.82027) Full Text: DOI arXiv
Ruelle, David 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. (English) Zbl 1124.82300 J. Stat. Phys. 108, No. 5-6, 723-728 (2002). MSC: 82-02 37-02 37N20 PDFBibTeX XMLCite \textit{D. Ruelle}, J. Stat. Phys. 108, No. 5--6, 723--728 (2002; Zbl 1124.82300) Full Text: DOI
Ruelle, David Grace-like polynomials. (English) Zbl 1173.30304 Cucker, Felipe (ed.) et al., Foundations of computational mathematics. Proceedings of Smalefest 2000, Hong Kong, July 13–17, 2000. Singapore: World Scientific (ISBN 981-02-4845-8). 405-421 (2002). Reviewer: George Csordas (Honolulu) MSC: 30C15 PDFBibTeX XMLCite \textit{D. Ruelle}, in: Foundations of computational mathematics. Proceedings of Smalefest 2000, Hong Kong, July 13--17, 2000. Singapore: World Scientific. 405--421 (2002; Zbl 1173.30304) Full Text: arXiv
Ruelle, David Entropy production in quantum spin systems. (English) Zbl 1051.82003 Commun. Math. Phys. 224, No. 1, 3-16 (2001). MSC: 82B10 PDFBibTeX XMLCite \textit{D. Ruelle}, Commun. Math. Phys. 224, No. 1, 3--16 (2001; Zbl 1051.82003) Full Text: DOI arXiv
Ruelle, David Historical behaviour in smooth dynamical systems. (English) Zbl 1067.37501 Broer, Henk W. (ed.) et al., Global analysis of dynamical systems. Festschrift dedicated to Floris Takens for his 60th birthday. Bristol: Institute of Physics Publishing (ISBN 0-7503-0803-6/hbk). 63-66 (2001). MSC: 37C40 37J40 PDFBibTeX XMLCite \textit{D. Ruelle}, in: Global analysis of dynamical systems. Festschrift dedicated to Floris Takens for his 60th birthday. Bristol: Institute of Physics Publishing. 63--66 (2001; Zbl 1067.37501)
Ruelle, David Topics in quantum statistical mechanics and operator algebras. arXiv:math-ph/0107009 Preprint, arXiv:math-ph/0107009 [math-ph] (2001). BibTeX Cite \textit{D. Ruelle}, ``Topics in quantum statistical mechanics and operator algebras'', Preprint, arXiv:math-ph/0107009 [math-ph] (2001) Full Text: arXiv
Ruelle, David A remark on the equivalence of isokinetic and isoenergetic thermostats in the thermodynamic limit. (English) Zbl 1055.82522 J. Stat. Phys. 100, No. 3-4, 757-763 (2000). MSC: 82C05 PDFBibTeX XMLCite \textit{D. Ruelle}, J. Stat. Phys. 100, No. 3--4, 757--763 (2000; Zbl 1055.82522) Full Text: DOI arXiv
Ruelle, D. Mathematical Platonism reconsidered. (English) Zbl 0969.03014 Nieuw Arch. Wiskd. (5) 1, No. 1, 30-33 (2000). Reviewer: Alejandro Garciadiego (México) MSC: 03A05 00A30 01A72 PDFBibTeX XMLCite \textit{D. Ruelle}, Nieuw Arch. Wiskd. (5) 1, No. 1, 30--33 (2000; Zbl 0969.03014)
Ruelle, David Conversations on mathematics with a visitor from outer space. (English) Zbl 1031.00001 Arnold, V. (ed.) et al., Mathematics: Frontiers and perspectives. Providence, RI: American Mathematical Society (AMS). 251-259 (2000). Reviewer: Sergei Georgievich Zhuravlev (Moskva) MSC: 00A05 PDFBibTeX XMLCite \textit{D. Ruelle}, in: Mathematics: frontiers and perspectives. Providence, RI: American Mathematical Society (AMS). 251--259 (2000; Zbl 1031.00001)
Ruelle, David Natural nonequilibrium states in quantum statistical mechanics. (English) Zbl 0988.82032 J. Stat. Phys. 98, No. 1-2, 57-75 (2000). MSC: 82C10 46L60 PDFBibTeX XMLCite \textit{D. Ruelle}, J. Stat. Phys. 98, No. 1--2, 57--75 (2000; Zbl 0988.82032) Full Text: DOI arXiv
Ruelle, David Smooth dynamics and new theoretical ideas in nonequilibrium statistical mechanics. (English) Zbl 0934.37010 J. Stat. Phys. 95, No. 1-2, 393-468 (1999). MSC: 37A60 37C99 82C05 PDFBibTeX XMLCite \textit{D. Ruelle}, J. Stat. Phys. 95, No. 1--2, 393--468 (1999; Zbl 0934.37010) Full Text: DOI arXiv
Ruelle, David Statistical mechanics. Rigorous results. (English) Zbl 1016.82500 Singapore: World Scientific; London: Imperial College Press (ISBN 981-02-3862-2/hbk; 978-981-281-528-6/ebook). xiii, 219 p. (1999). Reviewer: Michael Baake (Tübingen) MSC: 82-02 82B05 82B10 82B20 82B26 PDFBibTeX XMLCite \textit{D. Ruelle}, Statistical mechanics. Rigorous results. Singapore: World Scientific; London: Imperial College Press (1999; Zbl 1016.82500) Full Text: Link
Ruelle, David Counting unbranched subgraphs. (English) Zbl 0915.05068 J. Algebr. Comb. 9, No. 2, 157-160 (1999). Reviewer: Liu Yanpei (Beijing) MSC: 05C30 PDFBibTeX XMLCite \textit{D. Ruelle}, J. Algebr. Comb. 9, No. 2, 157--160 (1999; Zbl 0915.05068) Full Text: DOI
Ruelle, David Zeros of graph-counting polynomials. (English) Zbl 0917.05074 Commun. Math. Phys. 200, No. 1, 43-56 (1999). MSC: 05C99 PDFBibTeX XMLCite \textit{D. Ruelle}, Commun. Math. Phys. 200, No. 1, 43--56 (1999; Zbl 0917.05074) Full Text: DOI
Ruelle, David Henri Poincaré’s Science et méthode. (English) Zbl 0993.01009 Les relations entre les mathématiques et la physique théorique. Bures-sur-Yvette: Institut des Hautes Études Scientifiques, 179-181 (1998). Reviewer: Jan Waszkiewicz (Wrocław) MSC: 01A55 00A30 PDFBibTeX XMLCite \textit{D. Ruelle}, in: Les relations entre les mathématiques et la physique théorique. Bures-sur-Yvette: Institut des Hautes Études Scientifiques. 179--181 (1998; Zbl 0993.01009) Full Text: Numdam EuDML
Ruelle, David General linear response formula in statistical mechanics, and the fluctuation-dissipation theorem far from equilibrium. (English) Zbl 0940.82035 Phys. Lett., A 245, No. 3-4, 220-224 (1998). MSC: 82C05 PDFBibTeX XMLCite \textit{D. Ruelle}, Phys. Lett., A 245, No. 3--4, 220--224 (1998; Zbl 0940.82035) Full Text: DOI
Ruelle, David Nonequilibrium statistical mechanics near equilibrium: Computing higher-order terms. (English) Zbl 0896.58071 Nonlinearity 11, No. 1, 5-18 (1998). MSC: 58Z05 82C05 PDFBibTeX XMLCite \textit{D. Ruelle}, Nonlinearity 11, No. 1, 5--18 (1998; Zbl 0896.58071) Full Text: DOI
Ruelle, David Positivity of entropy production in the presence of a random thermostat. (English) Zbl 0931.37002 J. Stat. Phys. 86, No. 5-6, 935-951 (1997). MSC: 37A60 37A35 37D35 82C05 PDFBibTeX XMLCite \textit{D. Ruelle}, J. Stat. Phys. 86, No. 5--6, 935--951 (1997; Zbl 0931.37002) Full Text: DOI
Ruelle, David Entropy production in nonequilibrium statistical mechanics. (English) Zbl 0888.60082 Commun. Math. Phys. 189, No. 2, 365-371 (1997). MSC: 60K35 82B44 PDFBibTeX XMLCite \textit{D. Ruelle}, Commun. Math. Phys. 189, No. 2, 365--371 (1997; Zbl 0888.60082) Full Text: DOI
Ruelle, David Differentiation of SRB states. (English) Zbl 0895.58045 Commun. Math. Phys. 187, No. 1, 227-241 (1997). MSC: 37D99 82C35 PDFBibTeX XMLCite \textit{D. Ruelle}, Commun. Math. Phys. 187, No. 1, 227--241 (1997; Zbl 0895.58045) Full Text: DOI Link
Ruelle, D. Sharp zeta functions for smooth interval maps. (English) Zbl 0924.58016 Ledrappier, François (ed.) et al., 1st international conference on dynamical systems, Montevideo, Uruguay, 1995 - a tribute to Ricardo Mañé. Proceedings. Harlow: Longman. Pitman Res. Notes Math. Ser. 362, 188-206 (1996). Reviewer: J.Ombach (Kraków) MSC: 37E99 37C25 PDFBibTeX XMLCite \textit{D. Ruelle}, Pitman Res. Notes Math. Ser. 362, 188--206 (1996; Zbl 0924.58016)
Ruelle, David Functional equation for dynamical zeta functions of Milnor-Thurston type. (English) Zbl 0846.58047 Commun. Math. Phys. 175, No. 1, 63-88 (1996). MSC: 37C25 37E99 PDFBibTeX XMLCite \textit{D. Ruelle}, Commun. Math. Phys. 175, No. 1, 63--88 (1996; Zbl 0846.58047) Full Text: DOI
Ruelle, David Positivity of entropy production in nonequilibrium statistical mechanics. (English) Zbl 0973.37014 J. Stat. Phys. 85, No. 1-2, 1-23 (1996). Reviewer: Manfred Denker (Göttingen) MSC: 37C40 37A60 28D20 82C05 PDFBibTeX XMLCite \textit{D. Ruelle}, J. Stat. Phys. 85, No. 1--2, 1--23 (1996; Zbl 0973.37014) Full Text: DOI
Ruelle, David (ed.) Turbulence, strange attractors, and chaos. (English) Zbl 0922.76009 World Scientific Series on Nonlinear Science. Series A. 16. Singapore: World Scientific. xvii, 469 p. (1995). MSC: 76-02 76Fxx 37-02 37D45 00B60 PDFBibTeX XMLCite \textit{D. Ruelle} (ed.), Turbulence, strange attractors, and chaos. Singapore: World Scientific (1995; Zbl 0922.76009)
Ruelle, D. Zeta functions and sharp determinants for interval maps. (English) Zbl 0991.37511 Aoki, N. (ed.) et al., Dynamical systems and chaos. Vol. 1: Mathematics, engineering and economics. Proceedings of the international conference, Hachioji, Japan, May 23-27, 1994. Singapore: World Scientific. 226-232 (1995). MSC: 37C25 37C30 PDFBibTeX XMLCite \textit{D. Ruelle}, in: Dynamical systems and chaos. Vol. 1: Mathematics, engineering and economics. Proceedings of the international conference, Hachioji, Japan, May 23--27, 1994. Singapore: World Scientific. 226--232 (1995; Zbl 0991.37511)
Ruelle, David Chance and chaos. Transl. from the English by W. Beiglboeck. 2. Aufl. (Zufall und Chaos.) (German) Zbl 0925.58001 Berlin: Springer. ix, 254 p. (1994). MSC: 00A99 00A30 37D45 60A05 PDFBibTeX XMLCite \textit{D. Ruelle}, Zufall und Chaos. 2. Aufl. Berlin: Springer (1994; Zbl 0925.58001)
Ruelle, David Dynamical zeta functions for piecewise monotone maps of the interval. (English) Zbl 0805.58006 CRM Monograph Series. 4. Providence, RI: American Mathematical Society (AMS). vii, 62 p. (1994). Reviewer: J.Monterde (Burjasot) MSC: 58-02 37E99 37A99 37C25 PDFBibTeX XMLCite \textit{D. Ruelle}, Dynamical zeta functions for piecewise monotone maps of the interval. Providence, RI: American Mathematical Society (1994; Zbl 0805.58006) Full Text: DOI arXiv
Ruelle, David Dynamical zeta functions for maps of the interval. (English) Zbl 0804.58043 Bull. Am. Math. Soc., New Ser. 30, No. 2, 212-214 (1994). Reviewer: T.Nowicki (Warszawa) MSC: 37C25 37E99 PDFBibTeX XMLCite \textit{D. Ruelle}, Bull. Am. Math. Soc., New Ser. 30, No. 2, 212--214 (1994; Zbl 0804.58043) Full Text: DOI
Ruelle, David Analytic completion for dynamical zeta functions. (English) Zbl 0829.58033 Helv. Phys. Acta 66, No. 2, 181-191 (1993). Reviewer: S.Yu.Pilyugin (St.Peterburg) MSC: 37C25 32D15 PDFBibTeX XMLCite \textit{D. Ruelle}, Helv. Phys. Acta 66, No. 2, 181--191 (1993; Zbl 0829.58033)
Ruelle, David Thermodynamic formalism for maps satisfying positive expansiveness and specification. (English) Zbl 0772.58047 Nonlinearity 5, No. 6, 1223-1236 (1992). Reviewer: P.Presnajder (Bratislava) MSC: 37A30 80A10 82B30 PDFBibTeX XMLCite \textit{D. Ruelle}, Nonlinearity 5, No. 6, 1223--1236 (1992; Zbl 0772.58047) Full Text: DOI
Ruelle, David Spectral properties of a class of operators associated with conformal maps in two dimensions. (English) Zbl 0753.47012 Commun. Math. Phys. 144, No. 3, 537-556 (1992). Reviewer: I.Gottlieb (Iaşi) MSC: 47B38 30C20 PDFBibTeX XMLCite \textit{D. Ruelle}, Commun. Math. Phys. 144, No. 3, 537--556 (1992; Zbl 0753.47012) Full Text: DOI
Ruelle, David Dynamical zeta functions: Where do they come from and what are they good for. (English) Zbl 0947.37502 Schmüdgen, K. (ed.), Mathematical physics X. Proceedings of the 10th congress on mathematical physics, Leipzig, Germany, July 30 - August 9, 1991. Berlin: Springer-Verlag. 43-51 (1992). MSC: 37C25 37C30 PDFBibTeX XMLCite \textit{D. Ruelle}, in: Mathematical physics X. Proceedings of the 10th congress on mathematical physics, Leipzig, Germany, July 30 -- August 9, 1991. Berlin: Springer-Verlag. 43--51 (1992; Zbl 0947.37502)
Ruelle, David Zufall und Chaos. Übersetzt von W. Beiglböck. (Zufall und Chaos. Übersetzt von W. Beiglböck.) (German) Zbl 0770.00003 Berlin: Springer-Verlag. vii, 207 S. (1992). Reviewer: J.J.Burckhardt (Zürich) MSC: 00A99 00A30 37D45 60A05 PDFBibTeX XMLCite \textit{D. Ruelle}, Zufall und Chaos. Übersetzt von W. Beiglböck. Berlin: Springer-Verlag (1992; Zbl 0770.00003)
Ruelle, David Spectral properties of a class of operators associated with maps in one dimension. (English) Zbl 0811.47002 Ergodic Theory Dyn. Syst. 11, No. 4, 757-767 (1991). MSC: 47A10 47B38 PDFBibTeX XMLCite \textit{D. Ruelle}, Ergodic Theory Dyn. Syst. 11, No. 4, 757--767 (1991; Zbl 0811.47002) Full Text: DOI
Ruelle, David An extension of the theory of Fredholm determinants. (English) Zbl 0732.47003 Publ. Math., Inst. Hautes Étud. Sci. 72, 175-193 (1990). Reviewer: A.Pietsch (Jena) MSC: 47A10 47B38 47B10 PDFBibTeX XMLCite \textit{D. Ruelle}, Publ. Math., Inst. Hautes Étud. Sci. 72, 175--193 (1990; Zbl 0732.47003) Full Text: DOI Numdam EuDML
Ruelle, D. Deterministic chaos: The science and the fiction. (English) Zbl 0702.58042 Proc. R. Soc. Lond., Ser. A 427, No. 1873, 241-248 (1990). Reviewer: G.Keller MSC: 37D45 PDFBibTeX XMLCite \textit{D. Ruelle}, Proc. R. Soc. Lond., Ser. A 427, No. 1873, 241--248 (1990; Zbl 0702.58042) Full Text: DOI
Ruelle, David Une extension de la théorie de Fredholm. (An extension of Fredholm theory). (French) Zbl 0771.47011 C. R. Acad. Sci., Paris, Sér. I 309, No. 6, 309-310 (1989). MSC: 47B10 PDFBibTeX XMLCite \textit{D. Ruelle}, C. R. Acad. Sci., Paris, Sér. I 309, No. 6, 309--310 (1989; Zbl 0771.47011)
Ruelle, David [Isola, Stefano] 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). (English) Zbl 0683.58001 Lezioni Lincee. Cambridge etc.: Cambridge University Press. xi, 96 p. £25.00/hbk; $ 39.50/hbk; £8.95/pbk; $ 12.95/pbk (1989). Reviewer: L.G.Vulkov MSC: 58-02 37A99 37D45 PDFBibTeX XMLCite \textit{D. Ruelle}, 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). Cambridge etc.: Cambridge University Press (1989; Zbl 0683.58001)
Ruelle, David Elements of differentiable dynamics and bifurcation theory. (English) Zbl 0684.58001 Boston, MA etc.: Academic Press, Inc. viii, 187 p. $ 27.50 (1989). Reviewer: D.Motreanu MSC: 58-01 37J40 37G99 37D99 37C10 PDFBibTeX XMLCite \textit{D. Ruelle}, Elements of differentiable dynamics and bifurcation theory. Boston, MA etc.: Academic Press, Inc. (1989; Zbl 0684.58001)
Ruelle, David The thermodynamic formalism for expanding maps. (English) Zbl 0702.58056 Commun. Math. Phys. 125, No. 2, 239-262 (1989). MSC: 37D99 82B30 37E99 PDFBibTeX XMLCite \textit{D. Ruelle}, Commun. Math. Phys. 125, No. 2, 239--262 (1989; Zbl 0702.58056) Full Text: DOI
Ruelle, David Can nonlinear dynamics help economists? (English) Zbl 0681.90020 The economy as an evolving complex system, Proc. Evol. Paths Global Econ. Workshop, Santa Fe/NM 1987, Santa Fe Inst. Stud. Sci. Complexity 5, 195-204 (1988). MSC: 91B62 PDFBibTeX XML
Ruelle, David Noncommutative algebras for hyperbolic diffeomorphisms. (English) Zbl 0657.58026 Invent. Math. 93, No. 1, 1-13 (1988). Reviewer: L.N.Stoyanov MSC: 37D99 PDFBibTeX XMLCite \textit{D. Ruelle}, Invent. Math. 93, No. 1, 1--13 (1988; Zbl 0657.58026) Full Text: DOI EuDML
Ruelle, David Is our mathematics natural? The case of equilibrium statistical mechanics. (English) Zbl 0649.00028 Bull. Am. Math. Soc., New Ser. 19, No. 1, 259-268 (1988). MSC: 00A30 82B05 03A05 PDFBibTeX XMLCite \textit{D. Ruelle}, Bull. Am. Math. Soc., New Ser. 19, No. 1, 259--268 (1988; Zbl 0649.00028) Full Text: DOI
Ruelle, D. Resonances for axiom A flows. (English) Zbl 0658.58026 J. Differ. Geom. 25, 99-116 (1987). Reviewer: A.Morimoto MSC: 37D99 PDFBibTeX XMLCite \textit{D. Ruelle}, J. Differ. Geom. 25, 99--116 (1987; Zbl 0658.58026) Full Text: DOI
Ruelle, D. One-dimensional Gibbs states and Axiom A diffeomorphisms. (English) Zbl 0628.58043 J. Differ. Geom. 25, 117-137 (1987). Reviewer: D.Hurley MSC: 37D20 37D35 37A60 82C20 PDFBibTeX XMLCite \textit{D. Ruelle}, J. Differ. Geom. 25, 117--137 (1987; Zbl 0628.58043) Full Text: DOI
Ruelle, D. Diagnosis of dynamical systems with fluctuating parameters. (English) Zbl 0625.58005 Proc. R. Soc. Lond., Ser. A 413, 5-8 (1987). MSC: 37D45 PDFBibTeX XMLCite \textit{D. Ruelle}, Proc. R. Soc. Lond., Ser. A 413, 5--8 (1987; Zbl 0625.58005) Full Text: DOI
Ruelle, David A mathematical reformulation of Derrida’s REM and GREM. (English) Zbl 0617.60100 Commun. Math. Phys. 108, No. 2, 225-239 (1987). Reviewer: S.Pogosian MSC: 60K35 PDFBibTeX XMLCite \textit{D. Ruelle}, Commun. Math. Phys. 108, No. 2, 225--239 (1987; Zbl 0617.60100) Full Text: DOI
Ruelle, David Locating resonances for axiom A dynamical systems. (English) Zbl 0655.58026 J. Stat. Phys. 44, 281-292 (1986). Reviewer: N.Ivanov MSC: 37D99 PDFBibTeX XMLCite \textit{D. Ruelle}, J. Stat. Phys. 44, 281--292 (1986; Zbl 0655.58026) Full Text: DOI
Ruelle, David Du problème de la turbulence développée et de quelques obstacles à la solution. (On the problem of developed turbulence and some obstacles to its solution). (French) Zbl 0626.76066 Colloq. Honneur L. Schwartz, Éc. Polytech. 1983, Vol. 2, Astérisque 132, 231-241 (1985). MSC: 76F99 PDFBibTeX XML
Ruelle, David Rotation numbers for diffeomorphisms and flows. (English) Zbl 0556.58026 Ann. Inst. Henri Poincaré, Phys. Théor. 42, 109-115 (1985). MSC: 37C10 58C25 PDFBibTeX XMLCite \textit{D. Ruelle}, Ann. Inst. Henri Poincaré, Phys. Théor. 42, 109--115 (1985; Zbl 0556.58026) Full Text: Numdam EuDML
Ruelle, D. Ergodic aspects of turbulence theory. (English) Zbl 1063.37578 Phys. Scr. Vol. T9, 147-150 (1985). MSC: 37N10 37D45 76F99 PDFBibTeX XMLCite \textit{D. Ruelle}, Phys. Scr. T9, 147--150 (1985; Zbl 1063.37578) Full Text: DOI
Ruelle, David Characteristic exponents for a viscous fluid subjected to time dependent forces. (English) Zbl 0565.76031 Commun. Math. Phys. 93, 285-300 (1984). Reviewer: S.C.Rajvanshi MSC: 76D05 PDFBibTeX XMLCite \textit{D. Ruelle}, Commun. Math. Phys. 93, 285--300 (1984; Zbl 0565.76031) Full Text: DOI
Ruelle, David Turbulent dynamical systems. (English) Zbl 0564.58021 Proc. Int. Congr. Math., Warszawa 1983, Vol. 1, 271-286 (1984). Reviewer: Y.Kifer MSC: 37D45 37C55 76F99 PDFBibTeX XML
Ruelle, David Five turbulent problems. (English) Zbl 1194.37095 Physica D 7, No. 1-3, 40-44 (1983). MSC: 37J99 76F99 PDFBibTeX XMLCite \textit{D. Ruelle}, Physica D 7, No. 1--3, 40--44 (1983; Zbl 1194.37095) Full Text: DOI
Ruelle, David Flots qui ne mélangent pas exponentiellement. (English) Zbl 0531.58040 C. R. Acad. Sci., Paris, Sér. I 296, 191-193 (1983). Reviewer: K.S.Sibirskij MSC: 37C10 PDFBibTeX XMLCite \textit{D. Ruelle}, C. R. Acad. Sci., Paris, Sér. I 296, 191--193 (1983; Zbl 0531.58040)
Ruelle, David Small random perturbations and the definition of attractors. (English) Zbl 0525.58032 Geometric dynamics, Proc. int. Symp., Rio de Janeiro/Brasil 1981, Lect. Notes Math. 1007, 663-676 (1983). MSC: 37J40 60J05 37C70 37D99 PDFBibTeX XML
Ruelle, David Large volume limit of the distribution of characteristic exponents in turbulence. (English) Zbl 0546.76083 Commun. Math. Phys. 87, 287-302 (1982). Reviewer: S.Carmi MSC: 76F99 PDFBibTeX XMLCite \textit{D. Ruelle}, Commun. Math. Phys. 87, 287--302 (1982; Zbl 0546.76083) Full Text: DOI
Ruelle, David Repellers for real analytic maps. (English) Zbl 0506.58024 Ergodic Theory Dyn. Syst. 2, 99-107 (1982). MSC: 37C70 54F45 37D99 37C25 PDFBibTeX XMLCite \textit{D. Ruelle}, Ergodic Theory Dyn. Syst. 2, 99--107 (1982; Zbl 0506.58024) Full Text: DOI
Ruelle, David Characteristic exponents and invariant manifolds in Hilbert space. (English) Zbl 0493.58015 Ann. Math. (2) 115, 243-290 (1982). MSC: 37D99 37A99 47A35 34D05 58D25 PDFBibTeX XMLCite \textit{D. Ruelle}, Ann. Math. (2) 115, 243--290 (1982; Zbl 0493.58015) Full Text: DOI
Ruelle, David The pressure of the geodesic flow on a negatively curved manifold. (English) Zbl 0599.58038 Bol. Soc. Bras. Mat. 12, No. 1, 95-99 (1981). MSC: 37D40 53D25 58J60 PDFBibTeX XMLCite \textit{D. Ruelle}, Bol. Soc. Bras. Mat. 12, No. 1, 95--99 (1981; Zbl 0599.58038) Full Text: DOI
Ruelle, David Small random perturbations of dynamical systems and the definition of attractors. (English) Zbl 0482.58017 Commun. Math. Phys. 82, 137-151 (1981). MSC: 37C70 37D45 37J40 54H20 PDFBibTeX XMLCite \textit{D. Ruelle}, Commun. Math. Phys. 82, 137--151 (1981; Zbl 0482.58017) Full Text: DOI
Ruelle, David Differentiable dynamical systems and the problem of turbulence. (English) Zbl 0474.76052 Bull. Am. Math. Soc., New Ser. 5, 29-42 (1981). MSC: 76Fxx 37D45 37D99 76D05 PDFBibTeX XMLCite \textit{D. Ruelle}, Bull. Am. Math. Soc., New Ser. 5, 29--42 (1981; Zbl 0474.76052) Full Text: DOI
Ruelle, David A mechanism for speciation based on the theory of phase transitions. (English) Zbl 0457.92012 Math. Biosci. 56, 71-75 (1981). MSC: 92D10 82B26 PDFBibTeX XMLCite \textit{D. Ruelle}, Math. Biosci. 56, 71--75 (1981; Zbl 0457.92012) Full Text: DOI
Ruelle, David Strange attractors and characteristic exponents of turbulent flows. (English) Zbl 0518.34036 Approximation methods for Navier-Stokes problems, Proc. Symp. IUTAM, Paderborn 1979, Lect. Notes Math. 771, 489-493 (1980). MSC: 37A99 37D45 PDFBibTeX XML
Ruelle, David Strange attractors. (English) Zbl 0487.58014 Math. Intell. 2, 126-140 (1980). MSC: 37D45 00A06 PDFBibTeX XMLCite \textit{D. Ruelle}, Math. Intell. 2, 126--140 (1980; Zbl 0487.58014) Full Text: DOI
Ruelle, David Measures describing a turbulent flow. (English) Zbl 0474.76056 Nonlinear dynamics, int. Conf., New York 1979, Ann. N.Y. Acad. Sci. 357, 1-9 (1980). MSC: 76F99 76D05 PDFBibTeX XML
Ruelle, David Recent results on differentiable dynamical systems. (English) Zbl 0449.58014 Mathematical problems in theoretical physics, Proc. int. Conf., Lausanne 1979, Lect. Notes Phys. 116, 311-315 (1980). MSC: 37A99 37D45 37D99 37A30 54C70 28D20 PDFBibTeX XML
Ruelle, David Study of a simplexial complex related to the Wightman functions. (English) Zbl 0463.55012 Bull. Soc. Math. Belg., Sér. A 31, 157-169 (1979). MSC: 55U05 55U15 81S99 18G35 PDFBibTeX XMLCite \textit{D. Ruelle}, Bull. Soc. Math. Belg., Sér. A 31, 157--169 (1979; Zbl 0463.55012)