Laminations and foliations in dynamics, geometry and topology : proceedings of the Conference on Laminations and Foliations in Dynamics, Geometry and Topology, May 18-24, 1998, SUNY at Stony Brook / / Mikhail Lyubich, John W. Milnor, Yair N. Minsky, editors

• Record Nr.: UNINA9910788654603321
• Pubbl/distr/stampa: Providence, Rhode Island : , : American Mathematical Society, , [2001]; ©2001
• ISBN: 0-8218-7859-X; 0-8218-5605-7
• Descrizione fisica: 1 online resource (250 p.)
• Collana: Contemporary mathematics, , 0271-4132 ; ; 269
• Disciplina: 514/.72
• Soggetti: Foliations (Mathematics); Geometry, Differential
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: ""Contents""; ""Introduction""; ""Geodesic laminations on surfaces""; ""Part I. The dynamical viewpoint""; ""Definitions and first properties""; ""Examples of geodesic laminations""; ""The topology of geodesic laminations""; ""The higher dimensional case""; ""A more explicit example""; ""Local properties of geodesic laminations""; ""Transverse structures""; ""Part II. The topological viewpoint""; ""The topology and piecewise linear structure of ML(S)""; ""Change of metric""; ""The length function""; ""Tangent vectors to ML(S)""; ""The derivative of the length function""; ""Part III. The geometric viewpoint""""The convex core of a hyperbolic 3â€?manifold""; ""Pleated surfaces in hyperbolic 3â€?manifolds""; ""Variations of the geometry of convex cores""; ""Rotation angles, bending cocycles and Thurston's intersection form""; ""References""; ""Index""; ""Dicritical singularities of holomorphic vector fields""; ""Dynamics of P2 (Examples)""; ""1. Introduction""; ""2. Attractors""; ""2.1 Trapping region""; ""2.2 The map Î?""; ""2.3 Non-Algebraicity of A""; ""2.4 Subhyperbolicity of attractors""; ""3. When the compact set of points with bounded orbit is disjoint from the critical set""""3.1 J = P2""; ""3.2 Support of Î?""; ""4. Isolated ; repelling points""; ""4.1 Isolated repelling orbits""; ""4.2 The compact set K of points with bounded orbit""; ""5. Examples of endomorphisms such that Supp Î? = Julia set""; ""3 lectures on foliations and laminations on 3-manifolds""; ""Rational laminations of complex polynomials""; ""Actions of discrete groups on complex projective spaces""; ""Dynamics of singular holomorphic foliations on the complex projective plane""; ""Preface""; ""Introduction""; ""1. Singular Holomorphic Foliations by Curves""""2. The Monodromy Group of a Leaf""; ""3. Density and Ergodicity Theorems""; ""4. Non-Trivial Minimal Sets""; ""References""