Handbook of Dynamical Systems

Front Cover
B. Hasselblatt, A. Katok
Elsevier, Aug 20, 2002 - Mathematics - 1232 pages
0 Reviews
Volumes 1A and 1B.


These volumes give a comprehensive survey of dynamics written by specialists in the various subfields of dynamical systems. The presentation attains coherence through a major introductory survey by the editors that organizes the entire subject, and by ample cross-references between individual surveys.



The volumes are a valuable resource for dynamicists seeking to acquaint themselves with other specialties in the field, and to mathematicians active in other branches of mathematics who wish to learn about contemporary ideas and results dynamics. Assuming only general mathematical knowledge the surveys lead the reader towards the current state of research in dynamics.



Volume 1B will appear 2005.

 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

Chapter 2 Entropy isomorphism and equivalence in ergodic theory
205
Chapter 3 Hyperbolic dynamical systems
239
Chapter 4 Invariant measures for hyperbolic dynamical systems
321
Chapter 5 Periodic orbits and zeta functions
409
Chapter 6 Hyperbolic dynamics and Riemannian geometry
453
Chapter 7 Topological methods in dynamics
547
Chapter 8 Onedimensional maps
599
Chapter 9 Ergodic theory and dynamics of Gspaces with special emphasis on rigidity phenomena
665
Chapter 11 Dynamics of subgroup actions on homogeneous spaces of Lie groups and applications to number theory
813
Chapter 12 Random walks on groups and random transformations
931
Chapter 13 Rational billiards and flat structures
1015
Chapter 14 Variational methods for Hamiltonian systems
1091
Chapter 15 Pseudoholomorphic curves and dynamics in three dimensions
1129
Author Index
1189
Subject Index
1203
Copyright

Chapter 10 Symbolic and algebraic dynamical systems
765

Other editions - View all

Common terms and phrases

References to this book

Bibliographic information