Renormalization and 3-Manifolds Which Fiber over the Circle (AM-142), Volume 142 / / Curtis T. McMullen.
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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| Superior document: | Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 |
|---|---|
| VerfasserIn: | |
| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2014] ©1996 |
| Year of Publication: | 2014 |
| Language: | English |
| Series: | Annals of Mathematics Studies ;
142 |
| Online Access: | |
| Physical Description: | 1 online resource (253 p.) |
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| LEADER | 07256nam a22019335i 4500 | ||
|---|---|---|---|
| 001 | 9781400865178 | ||
| 003 | DE-B1597 | ||
| 005 | 20220131112047.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr || |||||||| | ||
| 008 | 220131t20141996nju fo d z eng d | ||
| 019 | |a (OCoLC)990458499 | ||
| 020 | |a 9781400865178 | ||
| 024 | 7 | |a 10.1515/9781400865178 |2 doi | |
| 035 | |a (DE-B1597)447829 | ||
| 035 | |a (OCoLC)922696501 | ||
| 040 | |a DE-B1597 |b eng |c DE-B1597 |e rda | ||
| 041 | 0 | |a eng | |
| 044 | |a nju |c US-NJ | ||
| 050 | 4 | |a QA613 .M42 2014 | |
| 072 | 7 | |a MAT012020 |2 bisacsh | |
| 082 | 0 | 4 | |a 514.3 |
| 100 | 1 | |a McMullen, Curtis T., |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Renormalization and 3-Manifolds Which Fiber over the Circle (AM-142), Volume 142 / |c Curtis T. McMullen. |
| 264 | 1 | |a Princeton, NJ : |b Princeton University Press, |c [2014] | |
| 264 | 4 | |c ©1996 | |
| 300 | |a 1 online resource (253 p.) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 0 | |a Annals of Mathematics Studies ; |v 142 | |
| 505 | 0 | 0 | |t Frontmatter -- |t Contents -- |t 1 Introduction -- |t 2 Rigidity of hyperbolic manifolds -- |t 3 Three-manifolds which fiber over the circle -- |t 4 Quadratic maps and renormalization -- |t 5 Towers -- |t 6 Rigidity of towers -- |t 7 Fixed points of renormalization -- |t 8 Asymptotic structure in the Julia set -- |t 9 Geometric limits in dynamics -- |t 10 Conclusion -- |t Appendix A. Quasiconformal maps and flows -- |t Appendix B Visual extension -- |t Bibliography -- |t Index |
| 506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
| 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 quantitative proof of convergence of renormalization. | ||
| 530 | |a Issued also in print. | ||
| 538 | |a Mode of access: Internet via World Wide Web. | ||
| 546 | |a In English. | ||
| 588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022) | |
| 650 | 0 | |a Differentiable dynamical systems. | |
| 650 | 0 | |a Three-manifolds (Topology). | |
| 650 | 7 | |a MATHEMATICS / Geometry / Analytic. |2 bisacsh | |
| 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. | ||
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t Princeton Annals of Mathematics eBook-Package 1940-2020 |z 9783110494914 |o ZDB-23-PMB |
| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t Princeton University Press eBook-Package Archive 1927-1999 |z 9783110442496 |
| 776 | 0 | |c print |z 9780691011530 | |
| 856 | 4 | 0 | |u https://doi.org/10.1515/9781400865178 |
| 856 | 4 | 0 | |u https://www.degruyter.com/isbn/9781400865178 |
| 856 | 4 | 2 | |3 Cover |u https://www.degruyter.com/document/cover/isbn/9781400865178/original |
| 912 | |a 978-3-11-044249-6 Princeton University Press eBook-Package Archive 1927-1999 |c 1927 |d 1999 | ||
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| 912 | |a ZDB-23-PMB |c 1940 |d 2020 | ||