| Preface 1 Dynamical systems 1.1 Pseudogroups 1.2 First examples 1.3 Foliations, laminations and holonomy 1.4 Markov pseudcgroups 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 Entrotpy of classical systems 3.1.1 Topological entropy of a transformation 3.1.2 Invariant measures 3.1.3 Measure-theoretic entropy 3.1.4 Examples 3.1.5 Variational principle 3.2 Entropy of pseudogroups 3.3 Geometric entropy of foliations 3.4 Relating various entropies 3.5 Examples and constructions 3.5.1 Pullback 3.5.2 Gluing 3.5.3 Turbulization 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 4.5 Vanishing entropy and invariant measures 4.6 Entropy, geodesic flow and invariant measures 4.7 Harmonic measures 4.8 Patterson-Sullivan 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 Bibliography Index |
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