F Ledrappier's Books

International Conference On Dynamical Systems

By: F Ledrappier,Sheldon Newhouse,Jorge Lewowicz

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International Conference On Dynamical Systems

By: F Ledrappier,Sheldon Newhouse,Jorge Lewowicz

This volume clearly reflects Ricardo Mane's legacy, his contribution to mathematics and the diversity of his mathematical intersts. It contains fifteen refereed research papers on thems including Hamiltonian and Lagrangian dynamics, growth rate of the number of geodesics on a compact manifold, one dimensional complex and real dynamics, and bifurcations and singular cycles. This book also contains two famous sets of notes by Ricardo Mane. One is the seminal paper on Lagrangian dynamics that he had prepared for the conference; the other is on the genericity of zero exponents area preserving diffeomorphisms on surfaces when non Anosov. This book will be of particular interest to researchers and graduate students in mathematics, mechanics and mathematical physics.

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Page Count

260

Publisher

CRC Press

Published Date

ISBN 10

058230296X

ISBN 13

9780582302969

Progress in Partial Differential Equations

Pont-A-Mousson 1997

By: Herbert Amann,C Bandle,Michel Chipot,F Conrad,I Shafrir

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Progress in Partial Differential Equations

Pont-A-Mousson 1997

By: Herbert Amann,C Bandle,Michel Chipot,F Conrad,I Shafrir

The numerous applications of partial differential equations to problems in physics, mechanics, and engineering keep the subject an extremely active and vital area of research. With the number of researchers working in the field, advances-large and small-come frequently. Therefore, it is essential that mathematicians working in partial differential equations and applied mathematics keep abreast of new developments. Progress in Partial Differential Equations, presents some of the latest research in this important field. Both volumes contain the lectures and papers of top international researchers contributed at the Third European Conference on Elliptic and Parabolic Problems. In addition to the general theory of elliptic and parabolic problems, the topics covered at the conference include: applications free boundary problems fluid mechanics general evolution problems ocalculus of variations homogenization modeling numerical analysis The research notes in these volumes offer a valuable update on the state-of-the-art in this important field of mathematics.

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Page Count

212

Publisher

CRC Press

Published Date

ISBN 10

0582317088

ISBN 13

9780582317086

Nonuniformly Hyperbolic Attractors

Geometric and Probabilistic Aspects

By: José F. Alves

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Nonuniformly Hyperbolic Attractors

Geometric and Probabilistic Aspects

By: José F. Alves

This monograph offers a coherent, self-contained account of the theory of Sinai–Ruelle–Bowen measures and decay of correlations for nonuniformly hyperbolic dynamical systems. A central topic in the statistical theory of dynamical systems, the book in particular provides a detailed exposition of the theory developed by L.-S. Young for systems admitting induced maps with certain analytic and geometric properties. After a brief introduction and preliminary results, Chapters 3, 4, 6 and 7 provide essentially the same pattern of results in increasingly interesting and complicated settings. Each chapter builds on the previous one, apart from Chapter 5 which presents a general abstract framework to bridge the more classical expanding and hyperbolic systems explored in Chapters 3 and 4 with the nonuniformly expanding and partially hyperbolic systems described in Chapters 6 and 7. Throughout the book, the theory is illustrated with applications. A clear and detailed account of topics of current research interest, this monograph will be of interest to researchers in dynamical systems and ergodic theory. In particular, beginning researchers and graduate students will appreciate the accessible, self-contained presentation.

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Page Count

259

Publisher

Springer Nature

Published Date

ISBN 10

3030628140

ISBN 13

9783030628147

Lectures on Probability Theory and Statistics

Ecole d'Ete de Probabilites de Saint-Flour XXVII - 1997

By: J. Bertoin,F. Martinelli,Y. Peres

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Lectures on Probability Theory and Statistics

Ecole d'Ete de Probabilites de Saint-Flour XXVII - 1997

By: J. Bertoin,F. Martinelli,Y. Peres

Part I, Bertoin, J.: Subordinators: Examples and Applications: Foreword.- Elements on subordinators.- Regenerative property.- Asymptotic behaviour of last passage times.- Rates of growth of local time.- Geometric properties of regenerative sets.- Burgers equation with Brownian initial velocity.- Random covering.- Lévy processes.- Occupation times of a linear Brownian motion.- Part II, Martinelli, F.: Lectures on Glauber Dynamics for Discrete Spin Models: Introduction.- Gibbs Measures of Lattice Spin Models.- The Glauber Dynamics.- One Phase Region.- Boundary Phase Transitions.- Phase Coexistence.- Glauber Dynamics for the Dilute Ising Model.- Part III, Peres, Yu.: Probability on Trees: An Introductory Climb: Preface.- Basic Definitions and a Few Highlights.- Galton-Watson Trees.- General percolation on a connected graph.- The first-Moment method.- Quasi-independent Percolation.- The second Moment Method.- Electrical Networks.- Infinite Networks.- The Method of Random Paths.- Transience of Percolation Clusters.- Subperiodic Trees.- The Random Walks RW (lambda) .- Capacity.-.Intersection-Equivalence.- Reconstruction for the Ising Model on a Tree,- Unpredictable Paths in Z and EIT in Z3.- Tree-Indexed Processes.- Recurrence for Tree-Indexed Markov Chains.- Dynamical Pecsolation.- Stochastic Domination Between Trees.

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296

Publisher

Springer

Published Date

ISBN 10

354048115X

ISBN 13

9783540481157

Nonlinear Evolution and Chaotic Phenomena

By: Giovanni Gallavotti,Paul F. Zweifel

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Nonlinear Evolution and Chaotic Phenomena

By: Giovanni Gallavotti,Paul F. Zweifel

This volume represents the proceedings of a NATO Advanced Study Institute held at Noto, Sicily June 8-19, 1987. The director was Giovanni Gallavotti, Roma, with co-directors Marcello Anile, Catania and P. F. Zweifel, Virginia Tech. Other members of the scientific organizing committee included Mitchell Feigenbaum, Rockefeller University and David Ruelle, IHES. The attendance at the school consisted of 23 invited speakers and approximately 80 "students", the term student being in quotation marks because many of them were of post-doctoral or even professorial status, although there were also a goodly number of actual graduate students in attendance also. Because of the disparate background of these "students", it was felt advisable to include at the conference special tutorials each afternoon, in which the contents of the morning's lectures were reviewed and clarified as necessary. These tutorials, organized by Gallavotti, involved various of the speakers, organizers, and other senior members of the school, and contributed in no little way to the overall success of the school. The organizers of the school would like to take this opportunity to thank all of those who assisted in these sessions, and to assure them that the results were definitely worth the effort. Also contributing to the success of the school were a number of contributed papers, presented during the course of the afternoon tutorials. Three of those papers are included in these proceedings; they are the papers of DiFrancesco; Gallimbeni, Miari and Sertorio (presented by Sertorio); and Vittot.

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Page Count

333

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1461310172

ISBN 13

9781461310174

Book's by F Ledrappier

International Conference On Dynamical Systems

International Conference On Dynamical Systems

Progress in Partial Differential Equations

Progress in Partial Differential Equations

Nonuniformly Hyperbolic Attractors

Nonuniformly Hyperbolic Attractors

Lectures on Probability Theory and Statistics

Lectures on Probability Theory and Statistics

Nonlinear Evolution and Chaotic Phenomena

Nonlinear Evolution and Chaotic Phenomena

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