Handbook of Dynamical Systems

This second volume of Volume 1A, which was published in 2002. The Principal Structures of Volume 1A.

Dynamics systems, 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.
. The final cluster of chapters discusses the dynamic 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 Behavior in Nonuniformly Expanding Maps (S. Luzzatto)
4. Homoclinic Bifurcations, Dominated Splitting, and Robust Transaction (ER Pujals and M. Sambarino)
5. Random Dynamics (Yu Kifer, P.-D. Liu)
6. An Introduction to Veech Surfaces (P. Hubert and TA 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 (AV Babin)
15. Hamiltonian PDEs (SB Kuksin, with an Appendix by D. Bambusi)
16. Extended Hamiltonian Systems (MI Weinstein)
Author Index of Volume 1A
Subject Index of Volume 1A
Author Index
Subject Index