Preface ....................................................... vii
Barycentric extensions of monotone maps of the circle
William Abikoff, Clifford J. Earle, and Sudeb Mitra .......... 1
A refinement of McShane's identity for quasifuchsian
punctured torus groups
Hirotaka Akiyoshi, Hideki Miyachi, and Makoto Sakuma ........ 21
An explicit constant for Sullivan's convex hull theorem
Christopher J. Bishop ....................................... 41
Round annuli
Gamaliel Ble, Adrien Douady, and Christian Henriksen ........ 71
The quasiconformal Jacobian problem
Mario Bonk, Juha Heinonen, and Eero Saksman ................. 77
Random geodesies
Martin Bridgeman ............................................ 97
Pushing the boundary
Richard D. Canary .......................................... 109
Affine automorphism groups of surfaces of infinite type
R. Chamanara ............................................... 123
Scaling functions for degree 2 circle endomorphisms
G. Cui, F.P. Gardiner, and Y. Jiang ........................ 147
Thompson's group as a Teichmüller mapping class group
E. de Faria, F.P. Gardiner, and W.J. Harvey ................ 165
Asymptotic Teichmüller space, Part II: The metric
structure
Clifford J. Earle, F.P. Gardiner, and Nikola Lakic ......... 187
Geometric theory of meromorphic functions
A. Eremenko ................................................ 221
Identities in the theory of theta constants
Hershel M. Farkas and Irwin Kra ............................ 231
Modular groups acting on infinite dimensional Teichmüller
spaces
Ege Fujikawa ............................................... 239
Some infinitesimal properties of the grafting map
Daniel M. Gallo ............................................ 255
Failure of Landau's theorem for quasiconformal mappings
of the disc
P.M. Gauthier and M.R. Pouryayevali ........................ 265
Bumping and self-bumping of deformation spaces
J. Holt .................................................... 269
Earthquake measure and cross-ratio distortion
Jun Нu ..................................................... 285
Quasiconvexity in the curve complex
Howard A. Masur and Yair N. Minsky ......................... 309
Indecomposable continua and the limit sets of Kleinian
groups
Katsuhiko Matsuzaki ........................................ 321
A Teichmuller model for period doubling
Ivan Petrovic .............................................. 333
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