Handbook of Dynamical Systems: Volume 1B by A. Katok

Handbook of Dynamical Systems: Volume 1B

byA. Katok, A. Katok, B. Hasselblatt

Other | December 17, 2005

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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).

. Written by experts in the field.
. The coverage of ergodic theory in these two parts of Volume 1 is considerably more broad and thorough than that provided in other existing sources.
. The final cluster of chapters discusses partial differential equations from the point of view of dynamical systems.

Details & Specs

Title:Handbook of Dynamical Systems: Volume 1BFormat:OtherDimensions:1234 pages, 1 × 1 × 1 inPublished:December 17, 2005Publisher:Elsevier ScienceLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0080478220

ISBN - 13:9780080478227

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Table of Contents

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