Renormalization and 3-manifolds which fiber over the circle / (Record no. 2778459)

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fixed length control field 140822t19961996njua ob 001 0 eng d
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Stock number 22573/ctt767zwm
Source of stock number/acquisition JSTOR
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA613
Item number .M42 1996eb
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT
Subject category code subdivision 038000
Source bisacsh
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT012020
Source bisacsh
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 514/.3
Edition number 20
049 ## - LOCAL HOLDINGS (OCLC)
Holding library MAIN
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name McMullen, Curtis T.,
Relator term author.
9 (RLIN) 592941
245 10 - TITLE STATEMENT
Title Renormalization and 3-manifolds which fiber over the circle /
Statement of responsibility, etc by Curtis T. McMullen.
264 #1 -
-- Princeton, New Jersey :
-- Princeton University Press,
-- 1996.
264 #4 -
-- ©1996
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (264 pages) :
Other physical details illustrations, tables
336 ## -
-- text
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-- computer
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-- online resource
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490 1# - SERIES STATEMENT
Series statement Annals of Mathematics Studies ;
Volume number/sequential designation Number 142
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc Includes bibliographical references and index.
588 0# -
-- Print version record.
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note 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# - FORMATTED CONTENTS NOTE
Formatted contents note 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# - FORMATTED CONTENTS NOTE
Formatted contents note 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# - FORMATTED CONTENTS NOTE
Formatted contents note 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 ## - SUMMARY, ETC.
Summary, etc 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 ## - LANGUAGE NOTE
Language note In English.
590 ## - LOCAL NOTE (RLIN)
Local note eBooks on EBSCOhost
Provenance (VM) [OBSOLETE] EBSCO eBook Subscription Academic Collection - Worldwide
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Three-manifolds (Topology)
9 (RLIN) 183344
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Differentiable dynamical systems.
650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Variétés topologiques à 3 dimensions.
9 (RLIN) 940051
650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Dynamique différentiable.
9 (RLIN) 906926
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element MATHEMATICS
General subdivision Topology.
Source of heading or term bisacsh
9 (RLIN) 875327
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element MATHEMATICS
General subdivision Geometry
-- Analytic.
Source of heading or term bisacsh
9 (RLIN) 896738
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Differentiable dynamical systems.
Source of heading or term fast
-- (OCoLC)fst00893426
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Three-manifolds (Topology)
Source of heading or term fast
-- (OCoLC)fst01150339
9 (RLIN) 183344
653 ## - INDEX TERM--UNCONTROLLED
Uncontrolled term Algebraic topology.
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776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Print version:
Main entry heading McMullen, Curtis T.
Title Renormalization and 3-manifolds which fiber over the circle.
Place, publisher, and date of publication Princeton, New Jersey : Princeton University Press, ©1996
Physical description 253 pages
Series data for related item Annals of mathematics studies ; Number 142
International Standard Book Number 9780691011530
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Annals of mathematics studies ;
Volume number/sequential designation no. 142.
9 (RLIN) 215873
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=818431">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=818431</a>
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