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Author : Jean-Claude Marcuard
Publisher :
ISBN 13 :
Total Pages : 146 pages
Book Rating : 4.:/5 (819 download)
Download or read book 1ère thèse : Structure de quelques systèmes dynamiques en théorie ergodique written by Jean-Claude Marcuard and published by . This book was released on 1975 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Luís Barreira
Publisher : EDP Sciences
ISBN 13 : 2759833739
Total Pages : 282 pages
Book Rating : 4.7/5 (598 download)
Download or read book Théorie des systèmes dynamiques: une introduction written by Luís Barreira and published by EDP Sciences. This book was released on 2023-11-06T00:00:00+01:00 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ce livre est une introduction à la théorie des systèmes dynamiques. On étudie les systèmes dynamiques topologiques, en basse dimension, hyperboliques et symboliques, ainsi que, brièvement, la théorie ergodique. Le livre peut être utilisé comme manuel pour un cours d’un ou deux semestres pour les étudiants de niveau avancé de licence ou les étudiants des cycles supérieurs. Il peut aussi être utilisé pour une étude indépendante et comme point de départ pour l’étude de sujets plus spécialisés. L’exposition est directe et rigoureuse. En particulier, tous les résultats sont prouvés. Le texte comprend de nombreux exemples qui illustrent en détail les concepts et les résultats, ainsi que 140 exercices, avec différents niveaux de difficulté.
Author : Jean-Marie Souriau
Publisher :
ISBN 13 :
Total Pages : 456 pages
Book Rating : 4.3/5 (91 download)
Download or read book Structure des systèmes dynamiques written by Jean-Marie Souriau and published by . This book was released on 1970 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Bernard Schmitt (docteur en Mathématiques)
Publisher :
ISBN 13 :
Total Pages : 2 pages
Book Rating : 4.:/5 (835 download)
Download or read book 1ère partie : Sur l'étude de quelques systèmes dynamiques written by Bernard Schmitt (docteur en Mathématiques) and published by . This book was released on 1972 with total page 2 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Yves Coudène
Publisher : EDP Sciences
ISBN 13 : 2759830101
Total Pages : 238 pages
Book Rating : 4.7/5 (598 download)
Download or read book Théorie ergodique et systèmes dynamiques written by Yves Coudène and published by EDP Sciences. This book was released on 2023-08-01T00:00:00+02:00 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ce livre est une introduction à la théorie ergodique et aux systèmes dynamiques. Issu d'un cours de Master 2 donné à l'Université de Rennes I, il est destiné à un public d'étudiants désireux d'acquérir des bases solides dans ces disciplines, ou à des chercheurs d'autres domaines souhaitant se familiariser avec les problématiques rencontrées. Du point de vue mesurable, le livre est organisé autour des concepts d'ergodicité, de mélange, d'entropie et d'isomorphisme. Un chapitre est consacré à la décomposition ergodique dans les espaces de Lebesgue. En matière de dynamique topologique, on s'intéresse aux notions de non-errance, de transitivité, mélange topologique, conjugaison et linéarisation. L'ouvrage est illustré par de nombreux exemples : applications de l'intervalle, décalages de Bernoulli, pendule pesant, flot géodésique en courbure négative, systèmes Morse-Smale, fractions rationnelles sur la sphère de Riemann et attracteurs dérivés d'Anosov.
Author : Jean-Paul Thouvenot
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (874 download)
Download or read book Quelques propriétés des systèmes dynamiques abstraits en théorie ergodique written by Jean-Paul Thouvenot and published by . This book was released on 1975 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Luis Barreira
Publisher : EDP Sciences
ISBN 13 : 9782759807659
Total Pages : 203 pages
Book Rating : 4.8/5 (76 download)
Download or read book Théorie Des Systèmes Dynamiques written by Luis Barreira and published by EDP Sciences. This book was released on 2013 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: La théorie des systèmes dynamiques est très large et très active en termes de recherche. Elle dépend de la plupart des principaux domaines des mathématiques. Ce livre inclut les systèmes dynamiques topologiques, en basse dimension, hyperboliques et symboliques, ainsi qu’une brève introduction à la théorie ergodique. Le texte comprend de nombreux exemples qui illustrent en détails les concepts et les résultats ainsi que 140 exercices avec différents niveaux de difficulté.
Download or read book Global Analysis and Its Applications written by and published by . This book was released on 1974 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : François Labourie
Publisher :
ISBN 13 :
Total Pages : 152 pages
Book Rating : 4.:/5 (318 download)
Download or read book Lectures on Representations of Surface Groups written by François Labourie and published by . This book was released on 2013 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of these notes is the character variety of representations of a surface group in a Lie group. The author emphasizes the various points of view (combinatorial, differential, and algebraic) and is interested in the description of its smooth points, symplectic structure, volume and connected components. He also shows how a three manifold bounded by the surface leaves a trace in this character variety. These notes were originally designed for students with only elementary knowledge of differential geometry and topology. In the first chapters, the author does not focus on the details of the differential geometric constructions and refers to classical textbooks, while in the more advanced chapters proofs occasionally are provided only for special cases where they convey the flavor of the general arguments. These notes might also be used by researchers entering this fast expanding field as motivation for further studies. The concluding paragraph of every chapter provides suggestions for further research.
Author : Amir Dembo
Publisher : Springer Science & Business Media
ISBN 13 : 3642033113
Total Pages : 409 pages
Book Rating : 4.6/5 (42 download)
Download or read book Large Deviations Techniques and Applications written by Amir Dembo and published by Springer Science & Business Media. This book was released on 2009-11-03 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: Large deviation estimates have proved to be the crucial tool required to handle many questions in statistics, engineering, statistial mechanics, and applied probability. Amir Dembo and Ofer Zeitouni, two of the leading researchers in the field, provide an introduction to the theory of large deviations and applications at a level suitable for graduate students. The mathematics is rigorous and the applications come from a wide range of areas, including electrical engineering and DNA sequences. The second edition, printed in 1998, included new material on concentration inequalities and the metric and weak convergence approaches to large deviations. General statements and applications were sharpened, new exercises added, and the bibliography updated. The present soft cover edition is a corrected printing of the 1998 edition.
Author : Richard.S. Ellis
Publisher : Springer Science & Business Media
ISBN 13 : 1461385334
Total Pages : 372 pages
Book Rating : 4.4/5 (613 download)
Download or read book Entropy, Large Deviations, and Statistical Mechanics written by Richard.S. Ellis and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book has two main topics: large deviations and equilibrium statistical mechanics. I hope to convince the reader that these topics have many points of contact and that in being treated together, they enrich each other. Entropy, in its various guises, is their common core. The large deviation theory which is developed in this book focuses upon convergence properties of certain stochastic systems. An elementary example is the weak law of large numbers. For each positive e, P{ISn/nl 2: e} con verges to zero as n --+ 00, where Sn is the nth partial sum of indepen dent identically distributed random variables with zero mean. Large deviation theory shows that if the random variables are exponentially bounded, then the probabilities converge to zero exponentially fast as n --+ 00. The exponen tial decay allows one to prove the stronger property of almost sure conver gence (Sn/n --+ 0 a.s.). This example will be generalized extensively in the book. We will treat a large class of stochastic systems which involve both indepen dent and dependent random variables and which have the following features: probabilities converge to zero exponentially fast as the size of the system increases; the exponential decay leads to strong convergence properties of the system. The most fascinating aspect of the theory is that the exponential decay rates are computable in terms of entropy functions. This identification between entropy and decay rates of large deviation probabilities enhances the theory significantly.
Author : Barbara Schapira
Publisher :
ISBN 13 : 9782856298183
Total Pages : 281 pages
Book Rating : 4.2/5 (981 download)
Download or read book Equilibrium States in Negative Curvature written by Barbara Schapira and published by . This book was released on 2015 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: With their origin in thermodynamics and symbolic dynamics, Gibbs measures are crucial tools to study the ergodic theory of the geodesic flow on negatively curved manifolds. We develop a framework (through Patterson-Sullivan densities) allowing us to get rid of compactness assumptions on the manifold, and prove many existence, uniqueness and finiteness results of Gibbs measures. We give many applications to the variational principle, the counting and equidistribution of orbit points and periods, the unique ergodicity of the strong unstable foliation and the classification of Gibbs densities on some Riemannian covers
Author : Boris Hasselblatt
Publisher : Springer
ISBN 13 : 3319430599
Total Pages : 334 pages
Book Rating : 4.3/5 (194 download)
Download or read book Ergodic Theory and Negative Curvature written by Boris Hasselblatt and published by Springer. This book was released on 2017-12-15 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focussing on the mathematics related to the recent proof of ergodicity of the (Weil–Petersson) geodesic flow on a nonpositively curved space whose points are negatively curved metrics on surfaces, this book provides a broad introduction to an important current area of research. It offers original textbook-level material suitable for introductory or advanced courses as well as deep insights into the state of the art of the field, making it useful as a reference and for self-study. The first chapters introduce hyperbolic dynamics, ergodic theory and geodesic and horocycle flows, and include an English translation of Hadamard's original proof of the Stable-Manifold Theorem. An outline of the strategy, motivation and context behind the ergodicity proof is followed by a careful exposition of it (using the Hopf argument) and of the pertinent context of Teichmüller theory. Finally, some complementary lectures describe the deep connections between geodesic flows in negative curvature and Diophantine approximation.
Author : Ralph Abraham
Publisher : Springer Science & Business Media
ISBN 13 : 1461219361
Total Pages : 257 pages
Book Rating : 4.4/5 (612 download)
Download or read book Chaos in Discrete Dynamical Systems written by Ralph Abraham and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: The materials in the book and on the accompanying disc are not solely developed with only the researcher and professional in mind, but also with consideration for the student: most of this material has been class-tested by the authors. The book is packed with some 100 computer graphics to illustrate the material, and the CD-ROM contains full-colour animations tied directly to the subject matter of the book itself. The cross-platform CD also contains the program ENDO, which enables users to create their own 2-D imagery with X-Windows. Maple scripts are provided to allow readers to work directly with the code from which the graphics in the book were taken.
Author : Claude Cohen-Tannoudji
Publisher : John Wiley & Sons
ISBN 13 : 3527345558
Total Pages : 790 pages
Book Rating : 4.5/5 (273 download)
Download or read book Quantum Mechanics, Volume 3 written by Claude Cohen-Tannoudji and published by John Wiley & Sons. This book was released on 2019-12-16 with total page 790 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new, third volume of Cohen-Tannoudji's groundbreaking textbook covers advanced topics of quantum mechanics such as uncorrelated and correlated identical particles, the quantum theory of the electromagnetic field, absorption, emission and scattering of photons by atoms, and quantum entanglement. Written in a didactically unrivalled manner, the textbook explains the fundamental concepts in seven chapters which are elaborated in accompanying complements that provide more detailed discussions, examples and applications. * Completing the success story: the third and final volume of the quantum mechanics textbook written by 1997 Nobel laureate Claude Cohen-Tannoudji and his colleagues Bernard Diu and Franck Laloë * As easily comprehensible as possible: all steps of the physical background and its mathematical representation are spelled out explicitly * Comprehensive: in addition to the fundamentals themselves, the books comes with a wealth of elaborately explained examples and applications Claude Cohen-Tannoudji was a researcher at the Kastler-Brossel laboratory of the Ecole Normale Supérieure in Paris where he also studied and received his PhD in 1962. In 1973 he became Professor of atomic and molecular physics at the Collège des France. His main research interests were optical pumping, quantum optics and atom-photon interactions. In 1997, Claude Cohen-Tannoudji, together with Steven Chu and William D. Phillips, was awarded the Nobel Prize in Physics for his research on laser cooling and trapping of neutral atoms. Bernard Diu was Professor at the Denis Diderot University (Paris VII). He was engaged in research at the Laboratory of Theoretical Physics and High Energy where his focus was on strong interactions physics and statistical mechanics. Franck Laloë was a researcher at the Kastler-Brossel laboratory of the Ecole Normale Supérieure in Paris. His first assignment was with the University of Paris VI before he was appointed to the CNRS, the French National Research Center. His research was focused on optical pumping, statistical mechanics of quantum gases, musical acoustics and the foundations of quantum mechanics.
Author : Bernard Chavance
Publisher : Routledge
ISBN 13 : 1134059884
Total Pages : 111 pages
Book Rating : 4.1/5 (34 download)
Download or read book Institutional Economics written by Bernard Chavance and published by Routledge. This book was released on 2008-09-02 with total page 111 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to institutional economics, follows the history of the field since the early 20th century until the present day. It concentrates on influential authors in the main schools of institutional economics. Institutional economics is defined as economic thought that considers institutions to be relevant for economic theory, and consequently criticizes the neoclassical mainstream for having pushed them out of the discipline; it deals specially with the nature, the origin, the change of institutions, and their effects on economic performance. It is a family of different theories that were initially influential in economics, then lost much of their weight in the middle half of the 20th century, and eventually recovered significant creative vitality and impact in the last twenty years. The book puts the recent developments in historical perspective by showing how important themes like the importance of habits, the role of formal and informal rules, the relation of organizations and institutions, the hierarchy and complementarity of institutions, the evolutionary character of institutional change, have been explored by various authors or schools.
Author : Domenico Delli Gatti
Publisher : Springer Science & Business Media
ISBN 13 : 9783540669791
Total Pages : 312 pages
Book Rating : 4.6/5 (697 download)
Download or read book Interaction and Market Structure written by Domenico Delli Gatti and published by Springer Science & Business Media. This book was released on 2000-03-27 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of essays which examine how the properties of aggregate variables are influenced by the actions and interactions of heterogenous individuals in different economic contexts. The common denominator of the essays is a critique of the representative agent hypothesis. If this hypothesis were correct, the behaviour of the aggregate variable would simply be the reproduction of individual optimising behaviour. In the methodology of the hard sciences, one of the achievements of the quantum revolution has been the rebuttal of the notion that aggregate behaviour can be explained on the basis of the behaviour of a single unit: the elementary particle does not even exist as a single entity but as a network, a system of interacting units. In this book, new tracks in economics which parallel the developments in physics mentioned above are explored. The essays, in fact are contributions to the analysis of the economy as a complex evolving system of interacting agents.
