Renormalization and 3-manifolds which fiber over the circle /

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Many parallels between complex dynamics and hyperbolic geometry have emerged in the past decade. Building on work of Sullivan and Thurston, this book gives a unified treatment of the construction of fixed-points for renormalization and the construction of hyperbolic 3- manifolds fibering over the ci...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: McMullen, Curtis T. (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, New Jersey : Princeton University Press, 1996.
Colección:Annals of mathematics studies ; no. 142.
Temas:
Three-manifolds (Topology)
Differentiable dynamical systems.
Variétés topologiques à 3 dimensions.
Dynamique différentiable.
MATHEMATICS > Topology.
MATHEMATICS > Geometry > Analytic.
Differentiable dynamical systems
Algebraic topology.
Analytic continuation.
Automorphism.
Beltrami equation.
Bifurcation theory.
Boundary (topology)
Cantor set.
Circular symmetry.
Combinatorics.
Compact space.
Complex conjugate.
Complex manifold.
Complex number.
Complex plane.
Conformal geometry.
Conformal map.
Conjugacy class.
Convex hull.
Covering space.
Deformation theory.
Degeneracy (mathematics)
Dimension (vector space)
Disk (mathematics)
Dynamical system.
Eigenvalues and eigenvectors.
Factorization.
Fiber bundle.
Fuchsian group.
Fundamental domain.
Fundamental group.
Fundamental solution.
G-module.
Geodesic.
Geometry.
Harmonic analysis.
Hausdorff dimension.
Homeomorphism.
Homotopy.
Hyperbolic 3-manifold.
Hyperbolic geometry.
Hyperbolic manifold.
Hyperbolic space.
Hypersurface.
Infimum and supremum.
Injective function.
Intersection (set theory)
Invariant subspace.
Isometry.
Julia set.
Kleinian group.
Laplace's equation.
Lebesgue measure.
Lie algebra.
Limit point.
Limit set.
Linear map.
Mandelbrot set.
Manifold.
Mapping class group.
Measure (mathematics)
Moduli (physics)
Moduli space.
Modulus of continuity.
Möbius transformation.
N-sphere.
Newton's method.
Permutation.
Point at infinity.
Polynomial.
Quadratic function.
Quasi-isometry.
Quasiconformal mapping.
Quasisymmetric function.
Quotient space (topology)
Radon-Nikodym theorem.
Renormalization.
Representation of a Lie group.
Representation theory.
Riemann sphere.
Riemann surface.
Riemannian manifold.
Schwarz lemma.
Simply connected space.
Special case.
Submanifold.
Subsequence.
Support (mathematics)
Tangent space.
Teichmüller space.
Theorem.
Topology of uniform convergence.
Topology.
Trace (linear algebra)
Transversal (geometry)
Transversality (mathematics)
Triangle inequality.
Unit disk.
Unit sphere.
Upper and lower bounds.
Vector field.
Acceso en línea:Texto completo
Descripción
Sumario:Many parallels between complex dynamics and hyperbolic geometry have emerged in the past decade. Building on work of Sullivan and Thurston, this book gives a unified treatment of the construction of fixed-points for renormalization and the construction of hyperbolic 3- manifolds fibering over the circle. Both subjects are studied via geometric limits and rigidity. This approach shows open hyperbolic manifolds are inflexible, and yields quantitative counterparts to Mostow rigidity. In complex dynamics, it motivates the construction of towers of quadratic-like maps, and leads to a quan.
Descripción Física:1 online resource (264 pages) : illustrations, tables
Bibliografía:Includes bibliographical references and index.
ISBN:9781400865178
1400865174
0691011540
9780691011547

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