Author | Walczak, Paweล. author |
---|---|
Title | Dynamics of Foliations, Groups and Pseudogroups [electronic resource] / by Paweล Walczak |
Imprint | Basel : Birkhรคuser Basel : Imprint: Birkhรคuser, 2004 |
Connect to | http://dx.doi.org/10.1007/978-3-0348-7887-6 |
Descript | XI, 228 p. online resource |
1 Dynamical systems -- 1.1 Pseudogroups -- 1.2 First examples -- 1.3 Foliations, laminations and holonomy -- 1.4 Markov pseudogroups -- 1.5 Hyperbolic spaces and groups -- 2 Growth -- 2.1 Growth types -- 2.2 Growth in groups -- 2.3 Orbit growth for pseudogroups -- 2.4 Expansion growth -- 3 Entropy -- 3.1 Entropy of classical systems -- 3.2 Entropy of pseudogroups -- 3.3 Geometric entropy of foliations -- 3.4 Relating various entropies -- 3.5 Examples and constructions -- 3.6 Entropy and resiliency -- 4 Invariant measures -- 4.1 Basic definitions and facts -- 4.2 Transverse invariant measures and homology -- 4.3 Measures and orbit growth -- 4.4 Transverse invariant measures in codimension 1 -- 4.5 Vanishing entropy and invariant measures -- 4.6 Entropy, geodesic flow and invariant measures -- 4.7 Harmonic measures -- 4.8 PattersonโSullivan measures -- 5 Hausdorff dimension -- 5.1 Definitions and basic facts -- 5.2 Julia sets -- 5.3 Dimension in foliated manifolds -- 5.4 Dimension of a hyperbolic boundary -- 5.5 Dimension of a limit set -- 6 Varia -- 6.1 Complexity growth -- 6.2 Expansive systems -- 6.3 Pseudo-orbits and pseudoleaves -- 6.4 Generic leaves