Handbook of Dynamical Systems -

Handbook of Dynamical Systems

Volume 1B

A. Katok, B. Hasselblatt (Herausgeber)

Buch | Hardcover
1234 Seiten
2005
Elsevier Science Ltd (Verlag)
978-0-444-52055-5 (ISBN)
229,95 inkl. MwSt
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Contains surveys on subjects in four areas of dynamical systems: hyperbolic dynamics, parabolic dynamics, ergodic theory and infinite-dimensional dynamical systems (partial differential equations). This work covers the ergodic theory including chapters that discuss partial differential equations from the point of view of dynamical systems.
This second half of Volume 1 of this Handbook follows Volume 1A, which was published in 2002. The contents of these two tightly integrated parts taken together come close to a realization of the program formulated in the introductory survey “Principal Structures” of Volume 1A.

The present volume contains surveys on subjects in four areas of dynamical systems: Hyperbolic dynamics, parabolic dynamics, ergodic theory and infinite-dimensional dynamical systems (partial differential equations).

Preface
List of Contributors
Contents of Volume 1A
1. Partially Hyperbolic Dynamical Systems (B. Hasselblatt and Ya. Pesin)
2. Smooth Ergodic Theory and Nonuniformly Hypoerbolic Dynamics (L. Barreira and Ya. Pesin, with an Appendix by O. Sarig)
3. Stochastic-Like Behaviour in Nonuniformly Expanding Maps (S. Luzzatto)
4. Homoclinic Bifurcations, Dominated Splitting, and Robust Transivity (E.R. Pujals and M. Sambarino)
5. Random Dynamics (Yu. Kifer, P.-D. Liu)
6. An Introduction to Veech Surfaces (P. Hubert and T.A. Schmidt)
7. Ergodic Theory of Translation Surfaces (H. Masur)
8. On the Lyapunov Exponents of the Kontsevich-Zorich Cocycle (G. Forni)
9. Counting Problems in Moduli Space (A. Eskin)
10. On the Interplay Between Measurable and Topological Dynamics (E. Glasner and B. Weiss)
11. Spectral Properties and Combinatorial Constructions in Ergodic Theory (A. Katok and J.-P. Thouvenot)
12. Combinatorial and Diophantine Applications of Ergodic Theory (V. Bergelson, with Appendix A by A. Leibman and Appendix B by A. Quas and M. Wierdl)
13. Pointwise Ergodic Theorems for Actions of Groups (A. Nevo)
14. Global Attractors in PDE (A.V. Babin)
15. Hamiltonian PDEs (S.B. Kuksin, with an Appendix by D. Bambusi)
16. Extended Hamiltonian Systems (M.I. Weinstein)
Author Index of Volume 1A
Subject Index of Volume 1A
Author Index
Subject Index

Erscheint lt. Verlag 18.11.2005
Verlagsort Oxford
Sprache englisch
Maße 165 x 240 mm
Gewicht 2350 g
Themenwelt Mathematik / Informatik Mathematik Analysis
ISBN-10 0-444-52055-4 / 0444520554
ISBN-13 978-0-444-52055-5 / 9780444520555
Zustand Neuware
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