Handbook of Dynamical Systems, Volume 1, Part 1Volumes 1A and 1B.

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Contents
16  
49  
82  
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 
1196  
1203  
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Common terms and phrases
Abelian absolutely continuous action algebraic Amer Anosov diffeomorphisms Anosov flows asymptotic attractor automorphisms behavior Bernoulli Borel closed cocycle compact manifold conjugacy conjugate connected constant COROLLARY countable decomposition defined Definition denote dense differentiable dynamical systems eigenvalues Ergodic Theory Ergodic Theory Dynamical example exists finite type fixed point foliations g e G Gaction Ginvariant geodesic flow Gibbs measures group G Hasselblatt hence homeomorphism homogeneous spaces hyperbolic dynamical hyperbolic set implies interval invariant measure irreducible isometric isomorphic Katok lattice Lebesgue Lemma Let G linear Lyapunov exponents Margulis Math maximal measurepreserving metric minimal mixing neighborhood partially hyperbolic periodic orbits periodic points probability measure proof properties Proposition recurrent result Riemannian rigidity Section semisimple Lie group sequence shift of finite smooth stable structure subgroup of G subset subspace symplectic Theorem Theory Dynamical Systems topological entropy torus transformation unipotent unique unstable manifolds vector zeta function