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Chance and Chaos
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David Ruelle
How do scientists look at chance, or randomness, and chaos in physical systems? In this study, David Ruelle explores game theory, probability, classical chaos and quantum uncertainty among many other topics. Since many systems are highly sensitive to initial conditions, the consequences of tiny exchanges in the variables can be enormous. Ruelle ...
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Chaotic Evolution and Strange Attractors
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David Ruelle
This book, based on lectures given at the Accademia dei Lincei, is an accessible and leisurely account of systems that display a chaotic time evolution. This behaviour, though deterministic, has features more characteristic of stochastic systems. The analysis here is based on a statistical technique known as time series analysis and so avoids ...
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Statistical Mechanics: Rigorous Results
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David Ruelle
This text marks the beginning of an era of vigorous mathematical progress in equilibrium statistical mechanics. It treats the infinite system limit, and discusses thermodynamic functions and states. The conceptual foundation provided by the book should be useful for the study of developments of statistical mechanics in the second half of the 20th ...
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Thermodynamic Formalism: The Mathematical Structure of Equilibrium Statistical Mechanics
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David Ruelle
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 ...
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The Mathematician's Brain: A Personal Tour Through the Essentials of Mathematics and Some of the Great Minds Behind Them
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David Ruelle
"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 thought-provoking and entertaining book, David Ruelle, the well-known mathematical physicist who helped create chaos theory, gives us a rare ...
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Elements of Differentiable Dynamics & Bifurcation Theory
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David Ruelle
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Dynamical Zeta Functions for Piecewise Monotone Maps of the Interval
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David Ruelle
Consider a space $M$, a map $f:M\to M$, and a function $g:M \to {\Bbb C $. The formal power series $\zeta(z) = \exp \sum infty_{m=1 \frac{z {m \sum_{x \in \roman{Fix \,f \prod m-1 _{k=0 g (f x)$ yields an example of a dynamical zeta function. Such functions have unexpected analytic properties and interesting relations to the theory of dynamical ...
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Thermodynamic formalism : the mathematical structures of classical equilibrium statistical mechanics
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David Ruelle
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Turbulence, Strange Attractors and Chaos
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David Ruelle
This collection of reprints covers the main contributions of David Ruelle, and co-authors, to the theory of chaos and its applications. It contains mathematical articles relevant to chaos, specific articles on the theory and articles on applications such as hydrodynamical turbulence.
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Chaotic Evolution and Strange Attractors: The Statistical Analysis of Time Series for Deterministic Nonlinear Systems
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David Ruelle
This book, based on lectures given in Rome in 1987, is an account of systems that display a chaotic time evolution. The evolution, though deterministic, has features more characteristic of a stochastic behaviour. The analysis presented here is based on a technique known as time series analysis.
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Hasard et chaos
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David Ruelle
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Etranges Beautes Des Mathematiques
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Ruelle David
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Zufall Und Chaos
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by
David Ruelle, W Beiglbck (Translator)
Der Zufall spielt eine zentrale Rolle in unserem Verst{ndnis der Natur der Dinge. Der mathematische Physiker David Ruelle benutzt ihn als roten Faden in diesem faszinierenden Buch. Er studiert dynamische Systeme, ihre oft empfindliche Abh{ngigkeit von den Anfangsbedingungen, und wie Chaos Determinismus und Zufall vers]hnt und unsere Kontrolle }ber ...
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