Contents
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 geodesics
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, andY. JIANG 147
Thompson's group as a Teichmiiller mapping class group
E. DE FARIA, F. P. GARDINER, and W. J. HARVEY 165
Asymptotic Teichmiiller 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 Teichmiiller spaces
EGE FUJIKAWA 239
Some infinitesimal properties of the grafting map
DANIEL M. GALLO 255
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