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math.DS2007
Conical limit sets and continued fractions
Edward Crane, Ian Short
Inspired by questions of convergence in continued fraction theory, Erdős, Piranian and Thron studied the possible sets of divergence for arbitrary sequences of Möbius maps acting o…
math.CV2007
A note on the Hayman-Wu theorem
Edward Crane
The Hayman-Wu theorem states that the preimage of a line or circle L under a conformal mapping from the unit disc to a simply-connected domain U has total Euclidean length bounded…