Cargando…
Renormalization and 3-manifolds which fiber over the circle /
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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Princeton, New Jersey :
Princeton University Press,
1996.
|
| Colección: | Annals of mathematics studies ;
no. 142. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000 i 4500 | ||
|---|---|---|---|
| 001 | JSTOR_ocn891400016 | ||
| 003 | OCoLC | ||
| 005 | 20231005004200.0 | ||
| 006 | m o d | ||
| 007 | cr cn||||||||| | ||
| 008 | 140822t19961996njua ob 001 0 eng d | ||
| 040 | |a E7B |b eng |e rda |e pn |c E7B |d OCLCO |d YDXCP |d EBLCP |d IDEBK |d N$T |d DEBSZ |d JSTOR |d OCLCF |d DEBBG |d OCLCQ |d TFW |d COO |d OCLCQ |d OCLCO |d UIU |d COCUF |d MOR |d CCO |d PIFAG |d ZCU |d MERUC |d OCLCQ |d IOG |d U3W |d EZ9 |d STF |d VTS |d ICG |d INT |d OCLCQ |d LVT |d TKN |d OCLCQ |d DKC |d OCLCQ |d UKAHL |d AJS |d QGK |d OCLCO |d OCLCQ | ||
| 019 | |a 887499131 |a 961568223 |a 962662504 |a 992818986 |a 1241932276 |a 1259245050 | ||
| 020 | |a 9781400865178 |q (e-book) | ||
| 020 | |a 1400865174 |q (e-book) | ||
| 020 | |a 0691011540 | ||
| 020 | |a 9780691011547 | ||
| 020 | |z 9780691011530 | ||
| 024 | 7 | |a 10.1515/9781400865178 |2 doi | |
| 029 | 1 | |a AU@ |b 000054146824 | |
| 029 | 1 | |a AU@ |b 000059332922 | |
| 029 | 1 | |a CHBIS |b 010480844 | |
| 029 | 1 | |a CHBIS |b 010896053 | |
| 029 | 1 | |a CHVBK |b 33693873X | |
| 029 | 1 | |a CHVBK |b 483393495 | |
| 029 | 1 | |a DEBBG |b BV042524174 | |
| 029 | 1 | |a DEBBG |b BV042987698 | |
| 029 | 1 | |a DEBBG |b BV043154553 | |
| 029 | 1 | |a DEBBG |b BV043782993 | |
| 029 | 1 | |a DEBBG |b BV044069696 | |
| 029 | 1 | |a DEBSZ |b 415193591 | |
| 029 | 1 | |a DEBSZ |b 424582597 | |
| 029 | 1 | |a DEBSZ |b 445582626 | |
| 029 | 1 | |a DEBSZ |b 446780758 | |
| 029 | 1 | |a DKDLA |b 820120-katalog:999933862705765 | |
| 029 | 1 | |a GBVCP |b 1003789277 | |
| 035 | |a (OCoLC)891400016 |z (OCoLC)887499131 |z (OCoLC)961568223 |z (OCoLC)962662504 |z (OCoLC)992818986 |z (OCoLC)1241932276 |z (OCoLC)1259245050 | ||
| 037 | |a 22573/ctt767zwm |b JSTOR | ||
| 050 | 4 | |a QA613 |b .M42 1996eb | |
| 072 | 7 | |a MAT |x 038000 |2 bisacsh | |
| 072 | 7 | |a MAT012020 |2 bisacsh | |
| 082 | 0 | 4 | |a 514/.3 |2 20 |
| 049 | |a UAMI | ||
| 100 | 1 | |a McMullen, Curtis T., |e author. | |
| 245 | 1 | 0 | |a Renormalization and 3-manifolds which fiber over the circle / |c by Curtis T. McMullen. |
| 264 | 1 | |a Princeton, New Jersey : |b Princeton University Press, |c 1996. | |
| 264 | 4 | |c ©1996 | |
| 300 | |a 1 online resource (264 pages) : |b illustrations, tables | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Annals of Mathematics Studies ; |v Number 142 | |
| 504 | |a Includes bibliographical references and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Cover; Title; Copyright; Contents; 1 Introduction; 2 Rigidity of hyperbolic manifolds; 2.1 The Hausdorff topology; 2.2 Manifolds and geometric limits; 2.3 Rigidity; 2.4 Geometric inflexibility; 2.5 Deep points and differentiability; 2.6 Shallow sets; 3 Three-manifolds which fiber over the circle; 3.1 Structures on surfaces and 3-manifolds; 3.2 Quasifuchsian groups; 3.3 The mapping class group; 3.4 Hyperbolic structures on mapping tori; 3.5 Asymptotic geometry; 3.6 Speed of algebraic convergence; 3.7 Example: torus bundles; 4 Quadratic maps and renormalization; 4.1 Topologies on domains. | |
| 505 | 8 | |a 4.2 Polynomials and polynomial-like maps4.3 The inner class; 4.4 Improving polynomial-like maps; 4.5 Fixed points of quadratic maps; 4.6 Renormalization; 4.7 Simple renormalization; 4.8 Infinite renormalization; 5 Towers; 5.1 Definition and basic properties; 5.2 Infinitely renormalizable towers; 5.3 Bounded combinatorics; 5.4 Robustness and inner rigidity; 5.5 Unbranched renormalizations; 6 Rigidity of towers; 6.1 Fine towers; 6.2 Expansion; 6.3 Julia sets fill the plane; 6.4 Proof of rigidity; 6.5 A tower is determined by its inner classes; 7 Fixed points of renormalization. | |
| 505 | 8 | |a 7.1 Framework for the construction of fixed points7.2 Convergence of renormalization; 7.3 Analytic continuation of the fixed point; 7.4 Real quadratic mappings; 8 Asymptotic structure in the Julia set; 8.1 Rigidity and the postcritical Cantor set; 8.2 Deep points of Julia sets; 8.3 Small Julia sets everywhere; 8.4 Generalized towers; 9 Geometric limits in dynamics; 9.1 Holomorphic relations; 9.2 Nonlinearity and rigidity; 9.3 Uniform twisting; 9.4 Quadratic maps and universality; 9.5 Speed of convergence of renormalization; 10 Conclusion; Appendix A. Quasiconformal maps and flows. | |
| 505 | 8 | |a A.1 Conformal structures on vector spacesA. 2 Maps and vector fields; A.3 BMO and Zygmund class; A.4 Compactness and modulus of continuity; A.5 Unique integrability; Appendix B. Visual extension; B.1 Naturality, continuity and quasiconformality; B.2 Representation theory; B.3 The visual distortion; B.4 Extending quasiconformal isotopies; B.5 Almost isometries; B.6 Points of differentiability; B. 7 Example: stretching a geodesic; Bibliography; Index. | |
| 520 | |a 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. | ||
| 546 | |a In English. | ||
| 590 | |a JSTOR |b Books at JSTOR Evidence Based Acquisitions | ||
| 590 | |a JSTOR |b Books at JSTOR All Purchased | ||
| 590 | |a JSTOR |b Books at JSTOR Demand Driven Acquisitions (DDA) | ||
| 650 | 0 | |a Three-manifolds (Topology) | |
| 650 | 0 | |a Differentiable dynamical systems. | |
| 650 | 6 | |a Variétés topologiques à 3 dimensions. | |
| 650 | 6 | |a Dynamique différentiable. | |
| 650 | 7 | |a MATHEMATICS |x Topology. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Geometry |x Analytic. |2 bisacsh | |
| 650 | 7 | |a Differentiable dynamical systems. |2 fast |0 (OCoLC)fst00893426 | |
| 650 | 7 | |a Three-manifolds (Topology) |2 fast |0 (OCoLC)fst01150339 | |
| 653 | |a Algebraic topology. | ||
| 653 | |a Analytic continuation. | ||
| 653 | |a Automorphism. | ||
| 653 | |a Beltrami equation. | ||
| 653 | |a Bifurcation theory. | ||
| 653 | |a Boundary (topology) | ||
| 653 | |a Cantor set. | ||
| 653 | |a Circular symmetry. | ||
| 653 | |a Combinatorics. | ||
| 653 | |a Compact space. | ||
| 653 | |a Complex conjugate. | ||
| 653 | |a Complex manifold. | ||
| 653 | |a Complex number. | ||
| 653 | |a Complex plane. | ||
| 653 | |a Conformal geometry. | ||
| 653 | |a Conformal map. | ||
| 653 | |a Conjugacy class. | ||
| 653 | |a Convex hull. | ||
| 653 | |a Covering space. | ||
| 653 | |a Deformation theory. | ||
| 653 | |a Degeneracy (mathematics) | ||
| 653 | |a Dimension (vector space) | ||
| 653 | |a Disk (mathematics) | ||
| 653 | |a Dynamical system. | ||
| 653 | |a Eigenvalues and eigenvectors. | ||
| 653 | |a Factorization. | ||
| 653 | |a Fiber bundle. | ||
| 653 | |a Fuchsian group. | ||
| 653 | |a Fundamental domain. | ||
| 653 | |a Fundamental group. | ||
| 653 | |a Fundamental solution. | ||
| 653 | |a G-module. | ||
| 653 | |a Geodesic. | ||
| 653 | |a Geometry. | ||
| 653 | |a Harmonic analysis. | ||
| 653 | |a Hausdorff dimension. | ||
| 653 | |a Homeomorphism. | ||
| 653 | |a Homotopy. | ||
| 653 | |a Hyperbolic 3-manifold. | ||
| 653 | |a Hyperbolic geometry. | ||
| 653 | |a Hyperbolic manifold. | ||
| 653 | |a Hyperbolic space. | ||
| 653 | |a Hypersurface. | ||
| 653 | |a Infimum and supremum. | ||
| 653 | |a Injective function. | ||
| 653 | |a Intersection (set theory) | ||
| 653 | |a Invariant subspace. | ||
| 653 | |a Isometry. | ||
| 653 | |a Julia set. | ||
| 653 | |a Kleinian group. | ||
| 653 | |a Laplace's equation. | ||
| 653 | |a Lebesgue measure. | ||
| 653 | |a Lie algebra. | ||
| 653 | |a Limit point. | ||
| 653 | |a Limit set. | ||
| 653 | |a Linear map. | ||
| 653 | |a Mandelbrot set. | ||
| 653 | |a Manifold. | ||
| 653 | |a Mapping class group. | ||
| 653 | |a Measure (mathematics) | ||
| 653 | |a Moduli (physics) | ||
| 653 | |a Moduli space. | ||
| 653 | |a Modulus of continuity. | ||
| 653 | |a Möbius transformation. | ||
| 653 | |a N-sphere. | ||
| 653 | |a Newton's method. | ||
| 653 | |a Permutation. | ||
| 653 | |a Point at infinity. | ||
| 653 | |a Polynomial. | ||
| 653 | |a Quadratic function. | ||
| 653 | |a Quasi-isometry. | ||
| 653 | |a Quasiconformal mapping. | ||
| 653 | |a Quasisymmetric function. | ||
| 653 | |a Quotient space (topology) | ||
| 653 | |a Radon-Nikodym theorem. | ||
| 653 | |a Renormalization. | ||
| 653 | |a Representation of a Lie group. | ||
| 653 | |a Representation theory. | ||
| 653 | |a Riemann sphere. | ||
| 653 | |a Riemann surface. | ||
| 653 | |a Riemannian manifold. | ||
| 653 | |a Schwarz lemma. | ||
| 653 | |a Simply connected space. | ||
| 653 | |a Special case. | ||
| 653 | |a Submanifold. | ||
| 653 | |a Subsequence. | ||
| 653 | |a Support (mathematics) | ||
| 653 | |a Tangent space. | ||
| 653 | |a Teichmüller space. | ||
| 653 | |a Theorem. | ||
| 653 | |a Topology of uniform convergence. | ||
| 653 | |a Topology. | ||
| 653 | |a Trace (linear algebra) | ||
| 653 | |a Transversal (geometry) | ||
| 653 | |a Transversality (mathematics) | ||
| 653 | |a Triangle inequality. | ||
| 653 | |a Unit disk. | ||
| 653 | |a Unit sphere. | ||
| 653 | |a Upper and lower bounds. | ||
| 653 | |a Vector field. | ||
| 776 | 0 | 8 | |i Print version: |a McMullen, Curtis T. |t Renormalization and 3-manifolds which fiber over the circle. |d Princeton, New Jersey : Princeton University Press, ©1996 |h 253 pages |k Annals of mathematics studies ; Number 142 |z 9780691011530 |
| 830 | 0 | |a Annals of mathematics studies ; |v no. 142. | |
| 856 | 4 | 0 | |u https://jstor.uam.elogim.com/stable/10.2307/j.ctt7ztfmd |z Texto completo |
| 936 | |a BATCHLOAD | ||
| 938 | |a Askews and Holts Library Services |b ASKH |n AH28074157 | ||
| 938 | |a EBL - Ebook Library |b EBLB |n EBL1756195 | ||
| 938 | |a ebrary |b EBRY |n ebr10907689 | ||
| 938 | |a EBSCOhost |b EBSC |n 818431 | ||
| 938 | |a ProQuest MyiLibrary Digital eBook Collection |b IDEB |n cis28840349 | ||
| 938 | |a YBP Library Services |b YANK |n 12033123 | ||
| 994 | |a 92 |b IZTAP | ||