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Book DetailsContemporary MathematicsVolume: 355; 2004; 351 ppMSC: Primary 30; Secondary 32; 57;
This proceedings volume reflects the 2001 AhlforsBers Colloquium held at the University of Connecticut (Storrs). This conference began nearly a half century ago with a tradition based on profound mathematics, wideranging interests, personal involvement, and scholarship. Once led by Lipman Bers and Lars Ahlfors, the core of this tradition unfolded around geometric function theory.
Talks at the colloquium were devoted to various aspects of complex analysis, including Teichmüller spaces, quasiconformal mappings, and geometric function theory. The book is suitable for graduate students and researchers interested in complex analysis.ReadershipGraduate students and research mathematicians interested in complex analysis.

Table of Contents

Articles

William Abikoff, Clifford J. Earle and Sudeb Mitra  Barycentric extensions of monotone maps of the circle [ MR 2145053 ]

Hirotaka Akiyoshi, Hideki Miyachi and Makoto Sakuma  A refinement of McShane’s identity for quasifuchsian punctured torus groups [ MR 2145054 ]

Christopher J. Bishop  An explicit constant for Sullivan’s convex hull theorem [ MR 2145055 ]

Gamaliel Ble, Adrien Douady and Christian Henriksen  Round annuli [ MR 2145056 ]

Mario Bonk, Juha Heinonen and Eero Saksman  The quasiconformal Jacobian problem [ MR 2145057 ]

Martin Bridgeman  Random geodesics [ MR 2145058 ]

Richard D. Canary  Pushing the boundary [ MR 2145059 ]

R. Chamanara  Affine automorphism groups of surfaces of infinite type [ MR 2145060 ]

G. Cui, F. P. Gardiner and Y. Jiang  Scaling functions for degree 2 circle endomorphisms [ MR 2145061 ]

E. de Faria, F. P. Gardiner and W. J. Harvey  Thompson’s group as a Teichmüller mapping class group [ MR 2145062 ]

Clifford J. Earle, Frederick P. Gardiner and Nikola Lakic  Asymptotic Teichmüller space. II. The metric structure [ MR 2145063 ]

A. Eremenko  Geometric theory of meromorphic functions [ MR 2145064 ]

Hershel M. Farkas and Irwin Kra  Identities in the theory of theta constants [ MR 2145065 ]

Ege Fujikawa  Modular groups acting on infinite dimensional Teichmüller spaces [ MR 2145066 ]

Daniel M. Gallo  Some infinitesimal properties of the grafting map [ MR 2145067 ]

P. M. Gauthier and M. R. Pouryayevali  Failure of Landau’s theorem for quasiconformal mappings of the disc [ MR 2145068 ]

J. Holt  Bumping and selfbumping of deformation spaces [ MR 2145069 ]

Jun Hu  Earthquake measure and crossratio distortion [ MR 2145070 ]

Howard A. Masur and Yair N. Minsky  Quasiconvexity in the curve complex [ MR 2145071 ]

Katsuhiko Matsuzaki  Indecomposable continua and the limit sets of Kleinian groups [ MR 2145072 ]

Ivan Petrovic  A Teichmüller model for period doubling [ MR 2145073 ]


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This proceedings volume reflects the 2001 AhlforsBers Colloquium held at the University of Connecticut (Storrs). This conference began nearly a half century ago with a tradition based on profound mathematics, wideranging interests, personal involvement, and scholarship. Once led by Lipman Bers and Lars Ahlfors, the core of this tradition unfolded around geometric function theory.
Talks at the colloquium were devoted to various aspects of complex analysis, including Teichmüller spaces, quasiconformal mappings, and geometric function theory. The book is suitable for graduate students and researchers interested in complex analysis.
Graduate students and research mathematicians interested in complex analysis.

Articles

William Abikoff, Clifford J. Earle and Sudeb Mitra  Barycentric extensions of monotone maps of the circle [ MR 2145053 ]

Hirotaka Akiyoshi, Hideki Miyachi and Makoto Sakuma  A refinement of McShane’s identity for quasifuchsian punctured torus groups [ MR 2145054 ]

Christopher J. Bishop  An explicit constant for Sullivan’s convex hull theorem [ MR 2145055 ]

Gamaliel Ble, Adrien Douady and Christian Henriksen  Round annuli [ MR 2145056 ]

Mario Bonk, Juha Heinonen and Eero Saksman  The quasiconformal Jacobian problem [ MR 2145057 ]

Martin Bridgeman  Random geodesics [ MR 2145058 ]

Richard D. Canary  Pushing the boundary [ MR 2145059 ]

R. Chamanara  Affine automorphism groups of surfaces of infinite type [ MR 2145060 ]

G. Cui, F. P. Gardiner and Y. Jiang  Scaling functions for degree 2 circle endomorphisms [ MR 2145061 ]

E. de Faria, F. P. Gardiner and W. J. Harvey  Thompson’s group as a Teichmüller mapping class group [ MR 2145062 ]

Clifford J. Earle, Frederick P. Gardiner and Nikola Lakic  Asymptotic Teichmüller space. II. The metric structure [ MR 2145063 ]

A. Eremenko  Geometric theory of meromorphic functions [ MR 2145064 ]

Hershel M. Farkas and Irwin Kra  Identities in the theory of theta constants [ MR 2145065 ]

Ege Fujikawa  Modular groups acting on infinite dimensional Teichmüller spaces [ MR 2145066 ]

Daniel M. Gallo  Some infinitesimal properties of the grafting map [ MR 2145067 ]

P. M. Gauthier and M. R. Pouryayevali  Failure of Landau’s theorem for quasiconformal mappings of the disc [ MR 2145068 ]

J. Holt  Bumping and selfbumping of deformation spaces [ MR 2145069 ]

Jun Hu  Earthquake measure and crossratio distortion [ MR 2145070 ]

Howard A. Masur and Yair N. Minsky  Quasiconvexity in the curve complex [ MR 2145071 ]

Katsuhiko Matsuzaki  Indecomposable continua and the limit sets of Kleinian groups [ MR 2145072 ]

Ivan Petrovic  A Teichmüller model for period doubling [ MR 2145073 ]