Handbook of Dynamical Systems ( Volume 1A )

Publication series :Volume 1A

Author: Hasselblatt   B.;Katok   A.  

Publisher: Elsevier Science‎

Publication year: 2002

E-ISBN: 9780080533445

P-ISBN(Paperback): 9780444826695

P-ISBN(Hardback):  9780444826695

Subject: O29 applied mathematics

Language: ENG

Access to resources Favorite

Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.

Description

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.

Chapter

Cover

pp.:  1 – 10

Preface

pp.:  6 – 8

List of Contributors

pp.:  8 – 12

Contents

pp.:  10 – 6

Chapter 1. Principal structures

pp.:  12 – 216

Chapter 2. Entropy, isomorphism and equivalence in ergodic theory

pp.:  216 – 250

Chapter 3. Hyperbolic dynamical systems

pp.:  250 – 332

Chapter 4. Invariant measures for hyperbolic dynamical systems

pp.:  332 – 420

Chapter 5. Periodic orbits and zeta functions

pp.:  420 – 464

Chapter 6. Hyperbolic dynamics and Riemannian geometry

pp.:  464 – 558

Chapter 7. Topological methods in dynamics

pp.:  558 – 610

Chapter 8. One-dimensional maps

pp.:  610 – 676

Chapter 9. Ergodic theory and dynamics of G-spaces (with special emphasis on rigidity phenomena)

pp.:  676 – 776

Chapter 10. Symbolic and algebraic dynamical systems

pp.:  776 – 824

Chapter 11. Dynamics of subgroup actions on homogeneous spaces of Lie groups and applications to number theory

pp.:  824 – 942

Chapter 12. Random walks on groups and random transformations

pp.:  942 – 1026

Chapter 13. Rational billiards and flat structures

pp.:  1026 – 1102

Chapter 14. Variational methods for Hamiltonian systems

pp.:  1102 – 1140

Chapter 15. Pseudoholomorphic curves and dynamics in three dimensions

pp.:  1140 – 1200

Author Index

pp.:  1200 – 1214

Subject Index

pp.:  1214 – 1232

The users who browse this book also browse


No browse record.