Handbook of Dynamical Systems, Volume 1, Part 1 (Google eBook)

Front Cover
B. Hasselblatt, A. Katok
Elsevier, Aug 20, 2002 - Mathematics - 1232 pages
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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.

  

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Contents

Topological dynamics
16
Ergodic theory
49
Invariant measures in topological dynamics
82
Smooth Hamiltonian and Lagrangian dynamics
96
Orbit instability and structural stability
127
Principal structures
145
Stable recurrent behavior
151
A special case of intermediate orbit growth
175
Symbolic and algebraic dynamical systems
765
Dynamics of subgroup actions on homogeneous spaces of Lie groups
813
Dynamics of nonunipotent actions
879
Applications to number theory
900
Acknowledgements
921
Random walks on groups and random transformations
931
Rational billiards and flat structures
1015
Veech groups and Veech surfaces
1059

HANDBOOK OF DYNAMICAL SYSTEMS VOL
194
Entropy isomorphism and equivalence in ergodic theory
205
Hyperbolic dynamical systems
239
Invariant measures for hyperbolic dynamical systems
321
Periodic orbits and zeta functions
409
Hyperbolic dynamics and Riemannian geometry
453
Topological methods in dynamics
547
Onedimensional maps
599
Ergodic theory and dynamics of Gspaces with special emphasis on rigidity
665
Interval exchange transformations
1067
Miscellaneous results
1075
Acknowledgements
1086
Variational methods for Hamiltonian systems
1091
Pseudoholomorphic curves and dynamics in three dimensions
1129
Author Index 11
1196
Subject Index
1203
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