Ruelle, David
Overview
Works:  116 works in 449 publications in 9 languages and 6,769 library holdings 

Genres:  Popular works Conference papers and proceedings History 
Roles:  Author, Author of introduction, Editor, pre, coo 
Classifications:  QA614.8, 515.35 
Publication Timeline
.
Most widely held works by
David Ruelle
Chance and chaos by
David Ruelle(
Book
)
35 editions published between 1991 and 2013 in 3 languages and held by 1,258 WorldCat member libraries worldwide
35 editions published between 1991 and 2013 in 3 languages and held by 1,258 WorldCat member libraries worldwide
Thermodynamic formalism : the mathematical structures of classical equilibrium statistical mechanics by
David Ruelle(
Book
)
36 editions published between 1976 and 2004 in English and Undetermined and held by 818 WorldCat member libraries worldwide
Reissued in the Cambridge Mathematical Library this classic book outlines the theory of thermodynamic formalism which was developed to describe the properties of certain physical systems consisting of a large number of subunits. It is aimed at mathematicians interested in ergodic theory, topological dynamics, constructive quantum field theory, the study of certain differentiable dynamical systems, notably Anosov diffeomorphisms and flows. It is also of interest to theoretical physicists concerned with the conceptual basis of equilibrium statistical mechanics. The level of the presentation is generally advanced, the objective being to provide an efficient research tool and a text for use in graduate teaching. Background material on mathematics has been collected in appendices to help the reader. Extra material is given in the form of updates of problems that were open at the original time of writing and as a new preface specially written for this new edition by the author
36 editions published between 1976 and 2004 in English and Undetermined and held by 818 WorldCat member libraries worldwide
Reissued in the Cambridge Mathematical Library this classic book outlines the theory of thermodynamic formalism which was developed to describe the properties of certain physical systems consisting of a large number of subunits. It is aimed at mathematicians interested in ergodic theory, topological dynamics, constructive quantum field theory, the study of certain differentiable dynamical systems, notably Anosov diffeomorphisms and flows. It is also of interest to theoretical physicists concerned with the conceptual basis of equilibrium statistical mechanics. The level of the presentation is generally advanced, the objective being to provide an efficient research tool and a text for use in graduate teaching. Background material on mathematics has been collected in appendices to help the reader. Extra material is given in the form of updates of problems that were open at the original time of writing and as a new preface specially written for this new edition by the author
Statistical mechanics : rigorous results by
David Ruelle(
Book
)
67 editions published between 1900 and 2015 in 3 languages and held by 757 WorldCat member libraries worldwide
4.7 CONSTRUCTION OF A HILBERT SPACEBIBLIOGRAPHICAL NOTE; EXERCISES; CHAPTER 5 THE PROBLEM OF PHASE TRANSITIONS; 5.1 THE THEOREM OF LEE AND YANG; 5.2 ABSENCE OF PHASE TRANSITIONS AT HIGH TEMPERATURE; 5.3 EXISTENCE OF A FIRSTORDER PHASE TRANSITION AT LOW TEMPERATURE; 5.4 THE GRIFFITHS INEQUALITIES; 5.5 THE THEOREM OF MERMIN AND WAGNER; 5.6 ONEDIMENSIONAL SYSTEMS; 5.7 THE NOTION OF PHASE TRANSITION; BIBLIOGRAPHICAL NOTE; EXERCISES; CHAPTER 6 GROUP INVARIANCE OF PHYSICAL STATES; 6.1 DESCRIPTION OF THE STATE OF AN INFINITE SYSTEM; 6.2 INVARIANT STATES; 6.3 ERGODIC STATES
67 editions published between 1900 and 2015 in 3 languages and held by 757 WorldCat member libraries worldwide
4.7 CONSTRUCTION OF A HILBERT SPACEBIBLIOGRAPHICAL NOTE; EXERCISES; CHAPTER 5 THE PROBLEM OF PHASE TRANSITIONS; 5.1 THE THEOREM OF LEE AND YANG; 5.2 ABSENCE OF PHASE TRANSITIONS AT HIGH TEMPERATURE; 5.3 EXISTENCE OF A FIRSTORDER PHASE TRANSITION AT LOW TEMPERATURE; 5.4 THE GRIFFITHS INEQUALITIES; 5.5 THE THEOREM OF MERMIN AND WAGNER; 5.6 ONEDIMENSIONAL SYSTEMS; 5.7 THE NOTION OF PHASE TRANSITION; BIBLIOGRAPHICAL NOTE; EXERCISES; CHAPTER 6 GROUP INVARIANCE OF PHYSICAL STATES; 6.1 DESCRIPTION OF THE STATE OF AN INFINITE SYSTEM; 6.2 INVARIANT STATES; 6.3 ERGODIC STATES
Chaotic evolution and strange attractors : the statistical analysis of time series for deterministic nonlinear systems by
David Ruelle(
Book
)
27 editions published between 1987 and 2003 in English and held by 697 WorldCat member libraries worldwide
27 editions published between 1987 and 2003 in English and held by 697 WorldCat member libraries worldwide
The mathematician's brain by
David Ruelle(
Book
)
28 editions published between 2007 and 2012 in 4 languages and held by 677 WorldCat member libraries worldwide
The Mathematician's Brain poses a provocative question about the world's most brilliant yet eccentric mathematical minds: were they brilliant because of their eccentricities or in spite of them? In this book, David Ruelle, the mathematical physicist who helped create chaos theory, gives us an insider's account of the celebrated mathematicians he has knowntheir quirks, oddities, personal tragedies, bad behavior, descents into madness, tragic ends, and the sublime, inexpressible beauty of their most breathtaking mathematical discoveries. Ruelle holds nothing back in his revealing and deeply personal reflections on mathematicians such as Alan Turing, Alexander Grothendieck, Rene Thom, Bernhard Riemann, and Felix Klein. Each chapter examines an important mathematical idea and the visionary minds behind it. Ruelle explores the philosophical issues raised by each, offering insights into the truly unique and creative ways mathematicians think and showing how the mathematical setting is most favorable for asking philosophical questions about meaning, beauty, and the nature of reality
28 editions published between 2007 and 2012 in 4 languages and held by 677 WorldCat member libraries worldwide
The Mathematician's Brain poses a provocative question about the world's most brilliant yet eccentric mathematical minds: were they brilliant because of their eccentricities or in spite of them? In this book, David Ruelle, the mathematical physicist who helped create chaos theory, gives us an insider's account of the celebrated mathematicians he has knowntheir quirks, oddities, personal tragedies, bad behavior, descents into madness, tragic ends, and the sublime, inexpressible beauty of their most breathtaking mathematical discoveries. Ruelle holds nothing back in his revealing and deeply personal reflections on mathematicians such as Alan Turing, Alexander Grothendieck, Rene Thom, Bernhard Riemann, and Felix Klein. Each chapter examines an important mathematical idea and the visionary minds behind it. Ruelle explores the philosophical issues raised by each, offering insights into the truly unique and creative ways mathematicians think and showing how the mathematical setting is most favorable for asking philosophical questions about meaning, beauty, and the nature of reality
Elements of differentiable dynamics and bifurcation theory by
David Ruelle(
Book
)
19 editions published between 1988 and 2014 in English and Italian and held by 664 WorldCat member libraries worldwide
This book provides a rigorous introduction to differentiable dynamicsthe mathematical theory underlying chaos and strange attractors. These and related concepts have come to play a key role in physics with the theory of hydrodynamic turbulence, in the natural sciences of meteorology and ecology, and in economics. The basic concepts of differentiable dynamics are presented as they apply to natural phenomena, emphasizing infinite dimensional systems, noninvertible maps, attractors, and bifurcation theory. The book also includes a series of detailed problems as well as appendices that provide both general references and advanced information
19 editions published between 1988 and 2014 in English and Italian and held by 664 WorldCat member libraries worldwide
This book provides a rigorous introduction to differentiable dynamicsthe mathematical theory underlying chaos and strange attractors. These and related concepts have come to play a key role in physics with the theory of hydrodynamic turbulence, in the natural sciences of meteorology and ecology, and in economics. The basic concepts of differentiable dynamics are presented as they apply to natural phenomena, emphasizing infinite dimensional systems, noninvertible maps, attractors, and bifurcation theory. The book also includes a series of detailed problems as well as appendices that provide both general references and advanced information
Hasard et chaos by
David Ruelle(
Book
)
20 editions published between 1991 and 2010 in French and Undetermined and held by 261 WorldCat member libraries worldwide
20 editions published between 1991 and 2010 in French and Undetermined and held by 261 WorldCat member libraries worldwide
Dynamical zeta functions for piecewise monotone maps of the interval by
David Ruelle(
Book
)
15 editions published between 994 and 2004 in English and held by 236 WorldCat member libraries worldwide
15 editions published between 994 and 2004 in English and held by 236 WorldCat member libraries worldwide
Zufall und Chaos by
David Ruelle(
Book
)
10 editions published between 1992 and 2012 in German and French and held by 218 WorldCat member libraries worldwide
10 editions published between 1992 and 2012 in German and French and held by 218 WorldCat member libraries worldwide
Turbulence, strange attractors, and chaos by
David Ruelle(
Book
)
12 editions published in 1995 in English and held by 165 WorldCat member libraries worldwide
The present collection of reprints covers the main contributions of David Ruelle, and coauthors, to the theory of chaos and its applications. Several of the papers reproduced here are classics in the field. Others (that were published in less accessible places) may still surprise the reader. The collection contains mathematical articles relevant to chaos, specific articles on the theory, and articles on applications to hydrodynamical turbulence, chemical oscillations, etc. A sound judgment of the value of techniques and applications is crucial in the interdisciplinary field of chaos. For a critical assessment of what has been achieved in this area, the present volume is an invaluable contribution
12 editions published in 1995 in English and held by 165 WorldCat member libraries worldwide
The present collection of reprints covers the main contributions of David Ruelle, and coauthors, to the theory of chaos and its applications. Several of the papers reproduced here are classics in the field. Others (that were published in less accessible places) may still surprise the reader. The collection contains mathematical articles relevant to chaos, specific articles on the theory, and articles on applications to hydrodynamical turbulence, chemical oscillations, etc. A sound judgment of the value of techniques and applications is crucial in the interdisciplinary field of chaos. For a critical assessment of what has been achieved in this area, the present volume is an invaluable contribution
Statistical mechanics and dynamical systems by
David Ruelle(
Book
)
13 editions published in 1977 in English and held by 146 WorldCat member libraries worldwide
13 editions published in 1977 in English and held by 146 WorldCat member libraries worldwide
International Conference on Dynamical Systems in Mathematical Physics, Rennes, 1975, Sept. 1421 by International Conference on Dynamical Systems in Mathematical Physics(
Book
)
8 editions published between 1975 and 1976 in 3 languages and held by 113 WorldCat member libraries worldwide
8 editions published between 1975 and 1976 in 3 languages and held by 113 WorldCat member libraries worldwide
L'étrange beauté des mathématiques by
David Ruelle(
Book
)
6 editions published between 2008 and 2011 in French and held by 80 WorldCat member libraries worldwide
6 editions published between 2008 and 2011 in French and held by 80 WorldCat member libraries worldwide
Lectures in modern analysis and applications II by
James Glimm(
)
1 edition published in 1970 in English and held by 28 WorldCat member libraries worldwide
1 edition published in 1970 in English and held by 28 WorldCat member libraries worldwide
Equilibrium states and the ergodic theory of Anosov diffeomorphisms by
Rufus Bowen(
Book
)
3 editions published in 2008 in English and held by 23 WorldCat member libraries worldwide
For this printing of R. Bowen's book, J.R. Chazottes has retyped it in TeX for easier reading, thereby correcting typos and bibliographic details. From the Preface by D. Ruelle: "Rufus Bowen has left us a masterpiece of mathematical exposition ... Here a number of results which were new at the time are presented in such a clear and lucid style that Bowen's monograph immediately became a classic. More than thirty years later, many new results have been proved in this area, but the volume is as useful as ever because it remains the best introduction to the basics of the ergodic theory of hyperbolic systems."
3 editions published in 2008 in English and held by 23 WorldCat member libraries worldwide
For this printing of R. Bowen's book, J.R. Chazottes has retyped it in TeX for easier reading, thereby correcting typos and bibliographic details. From the Preface by D. Ruelle: "Rufus Bowen has left us a masterpiece of mathematical exposition ... Here a number of results which were new at the time are presented in such a clear and lucid style that Bowen's monograph immediately became a classic. More than thirty years later, many new results have been proved in this area, but the volume is as useful as ever because it remains the best introduction to the basics of the ergodic theory of hyperbolic systems."
Chaotic evolution and strange attractors : the statistical analysis of time series for deterministic nonlinear systems ; notes
... from the "Lezioni Lincee" (Rome, May 1987) by
David Ruelle(
Book
)
4 editions published between 1989 and 1995 in English and held by 15 WorldCat member libraries worldwide
4 editions published between 1989 and 1995 in English and held by 15 WorldCat member libraries worldwide
Raslantı ve kaos by
David Ruelle(
Book
)
10 editions published between 1994 and 2005 in Turkish and held by 14 WorldCat member libraries worldwide
10 editions published between 1994 and 2005 in Turkish and held by 14 WorldCat member libraries worldwide
Quelques résultats rigoureux récents en mécanique statistique by
David Ruelle(
Book
)
5 editions published in 1972 in French and held by 14 WorldCat member libraries worldwide
5 editions published in 1972 in French and held by 14 WorldCat member libraries worldwide
Hausdorff dimension of quasicircles. Ergodic theory of differentiable dynamical systems / by David Ruelle [u.a.] by
Rufus Bowen(
Book
)
4 editions published in 1979 in English and held by 13 WorldCat member libraries worldwide
4 editions published in 1979 in English and held by 13 WorldCat member libraries worldwide
De wetten van toeval en chaos : kleine oorzaken en grote gevolgen in de moderne natuurwetenschappen by
David Ruelle(
Book
)
1 edition published in 1993 in Dutch and held by 13 WorldCat member libraries worldwide
1 edition published in 1993 in Dutch and held by 13 WorldCat member libraries worldwide
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Related Identities
 Chow, Pao Liu 1937
 Gallavotti, Giovanni Author of introduction Author
 Duke University Mathematics Department
 Keane, M. S. (Michael S.)
 Beiglböck, Wolf Translator
 Úbeda, Víctor V. Translator
 Kadison, R. V.
 Segal, I. E.
 Gross, L.
 HarishChandra
Useful Links
Associated Subjects
Anosov diffeomorphisms Attractors (Mathematics) Bifurcation theory Cell aggregationMathematics Chance Chaotic behavior in systems Diffeomorphisms Differentiable dynamical systems Distribution (Probability theory) Dynamics Entropy Ergodic theory Fuchsian groups Functions, Zeta Hausdorff measures Hyperbolic spaces Lattice theory Mappings (Mathematics) Mathematical physics MathematiciansPsychology Mathematics MathematicsPhilosophy Monotone operators Nonlinear theories Phase transformations (Statistical physics) Probabilities Statistical mechanics Stochastic processes Thermodynamics Turbulence
Alternative Names
David Ruelle belgischer Physiker und Professor für mathematische Physik
David Ruelle Frans wiskundige
David Ruelle matematico e fisico belga
David Ruelle mathematical physicist
Ri︠u︡ėlʹ, D.
Ri︠u︡ėlʹ, D. (David)
Rjuėl', D. 1935
Rûèl', D.
Ruelle, D.
Ruelle, D. 1935
Ruelle, D. (David)
Ruelle, David
Давид Риел белгискофранцуски математички физичар
Рюэль, Д
Рюэль, Д. (Дэвид)
Рюэль, Давид
دافيد رويل، 1935
ديفيد رول
دیوید روئل
다비드 뤼엘
ダヴィッド・ルエール
ルエール, D
大衛·呂埃勒
大卫·卢埃尔
Languages
English
(236)
French (32)
German (18)
Turkish (10)
Spanish (9)
Italian (7)
Russian (3)
Japanese (2)
Dutch (1)
French (32)
German (18)
Turkish (10)
Spanish (9)
Italian (7)
Russian (3)
Japanese (2)
Dutch (1)
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