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 ...
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 ...
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 ...
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 ...
"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 ...
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 ...
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.
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.
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 ...
Binding: Hardcover
Publisher: Presses Universitaires De La France / Institute Des Hautes Etudes...
Date Published: 1979
Description: Good. Hardcover-ex-academic library, very clean, clean cover, no marks-Publications Mathematiques No. 50 1979 (IHES)-[ Bowen, Rufus: Hausdorff dimension of quasi-circles p. 11-25; Ruelle, David: Ergodic theory of differentiable dynamical systems p. 27-58; Guckenheimer, John; Williams, Robert F. : Structural stability of Lorenz attractors p. 59-72; Williams, Robert F. : The structure of Lorenz attractors p. 73-99; Newhouse, Sheldon E. : The abundance of wild hyperbolic sets and non-smooth ... read more
We guarantee every item's condition, as described on Alibris. If you are not satisfied that an item is as described, return your purchase for a refund.
Journey Through Genius: The Great Theorems of Mathematics
