Modern Dynamical Systems and Applications - Rilegato

Rilegato

ISBN 10: 0521840732 ISBN 13: 9780521840736

Casa editrice: Cambridge University Press, 2004

Riassunto

This volume presents a broad collection of current research by leading experts in the theory of dynamical systems.

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Descrizione del libro

This volume presents a wide cross section of current research in the theory of dynamical systems and contains articles by leading researchers, including several Fields medalists, in a variety of specialties. Major areas covered include hyperbolic dynamics, elliptic dynamics, mechanics, geometry, ergodic theory, group actions, rigidity, applications.

Contenuti

1. Introduction Michael Brin, Boris Hasselblatt and Yakov Pesin; Part I. Ergodic Theory, Rigidity, Geometry: 2. Weakly mixing actions of general groups: a brief survey and an example Vitaly Bergelson and Alex Gorodnik; 3. Dynamical Morse entropy Melanie Bertelson and Michael Gromov; 4. Positive k-theory and symbolic dynamics Michael Boyle and Jack Wagoner; 5. Geometry of 2-step nilpotent Lie groups with a left invariant metric Patrick Eberlein; 6. A differential-geometric view of normal forms of contractions Renato Feres; 7. Averaging along cubes B. Host and Bryna Kra; 8. Sections for semiflows and Kakutani shift equivalence Chao-Hui Lin and Daniel Rudolph; 9. Coarsely geodesic metrics on reductive groups Herbert Abels and Gregory Margulis; 10. Algebraic Zd-actions on zero-dimensional compact Abelian groups Klaus Schmidt; 11. An invitation to rigidity theory Ralf Spatzier; 12. Remarks on magnetic flows and magnetic billiards, Finsler metrics and a magnetic analog of Hilbert's fourth problem Serge Tabachnikov; Part II. Hyperbolic Dynamics: 13. Expanding polymodials Alexander Blokh, Chris Cleveland and Michal Misiurewicz; 14. Lyapunov exponents: how frequently are dynamical systems hyperbolic? Jairo Bochi and Marcelo Viana; 15. A Hölder continuous vector field tangent to many foliations Christina Bonatti and John Franks; 16. On partially hyperbolic diffeomorphisms of 3-manifolds with commutative fundamental groups Michael Brin, Dmitri Burago and S. Ivanov; 17. Prelude to a kiss Dmitry Dolgopyat; 18. Nonuniform hpyerbolicity and elliptic dynamics Bassam Fayad; 19. Dimension product structure of hyperbolic sets Boris Hasselblatt and Jorg Schmeling; 20. Every compact manifold carries a hyperbolic Bernoulli flow Huyi Hu, Yakov Pesin and Anna Talitskaya; 21. Parameter choice for families of maps with many critical points Michael Jakobson; 22. Entropy, exponents and invariant densities for hyperbolic systems: dependence and computation Oliver Jenkinson and Mark Pollicott; 23. Some recent advances in averaging Yuri Kifer; 24. Bootstrap of regularity for integrable solutions of cohomology equations Rafael de la Llave; 25. Cone-fields, domination, and hyperbolicity Sheldon Newhouse; 26. Markov towers and stochastic properties of billiards Domokos Szasz and Tamas Varju; 27. Some questions and remarks about SL(2,R) cocycles Jean-Christophe Yoccoz.

Dettagli dell'edizione

• Editore: Cambridge University Press
• Data di pubblicazione: 2004
• Lingua: Inglese
• ISBN 10: 0521840732
• ISBN 13: 9780521840736
• Rilegatura: Copertina rigida
• Numero di pagine: 474
• Redattore: Brin Michael, Hasselblatt Boris, Pesin Yakov
• Contatto del produttore: non disponibile
• Persona responsabile: Avery; https://www.avery.fr/; ; chemin des peupliers 27; Dardilly; Francia