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In the Tradition of Ahlfors and Bers, III.

By: Contributor(s): Material type: TextTextSeries: Contemporary MathematicsPublisher: Providence : American Mathematical Society, 2004Copyright date: ©2004Edition: 1st edDescription: 1 online resource (364 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9780821879450
Subject(s): Genre/Form: Additional physical formats: Print version:: In the Tradition of Ahlfors and Bers, IIIDDC classification:
  • 515
LOC classification:
  • QA331 -- .A462 2001eb
Online resources:
Contents:
Intro -- Contents -- Preface -- Barycentric extensions of monotone maps of the circle -- A refinement of McShane's identity for quasifuchsian punctured torus groups -- An explicit constant for Sullivan's convex hull theorem -- Round annuli -- The quasiconformal Jacobian problem -- Random geodesics -- Pushing the boundary -- Affine automorphism groups of surfaces of infinite type -- Scaling functions for degree 2 circle endomorphisms -- Thompson's group as a Teichmüller mapping class group -- Asymptotic Teichmüller space, Part II: The metric structure -- Geometric theory of meromorphic functions -- Identities in the theory of theta constants -- Modular groups acting on infinite dimensional Teichmüller spaces -- Some infinitesimal properties of the grafting map -- Failure of Landau's theorem for quasiconformal mappings of the disc -- Bumping and self-bumping of deformation spaces -- Earthquake measure and cross-ratio distortion -- Quasiconvexity in the curve complex -- Indecomposable continua and the limit sets of Kleinian groups -- A Teichmüller model for period doubling.
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Intro -- Contents -- Preface -- Barycentric extensions of monotone maps of the circle -- A refinement of McShane's identity for quasifuchsian punctured torus groups -- An explicit constant for Sullivan's convex hull theorem -- Round annuli -- The quasiconformal Jacobian problem -- Random geodesics -- Pushing the boundary -- Affine automorphism groups of surfaces of infinite type -- Scaling functions for degree 2 circle endomorphisms -- Thompson's group as a Teichmüller mapping class group -- Asymptotic Teichmüller space, Part II: The metric structure -- Geometric theory of meromorphic functions -- Identities in the theory of theta constants -- Modular groups acting on infinite dimensional Teichmüller spaces -- Some infinitesimal properties of the grafting map -- Failure of Landau's theorem for quasiconformal mappings of the disc -- Bumping and self-bumping of deformation spaces -- Earthquake measure and cross-ratio distortion -- Quasiconvexity in the curve complex -- Indecomposable continua and the limit sets of Kleinian groups -- A Teichmüller model for period doubling.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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