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The escaping set of a transcendental entire or meromorphic function consists of all points which tend to inﬁnity under iteration. Its importance in transcendental dynamics has increased signiﬁcantly in recent years. The workshop focussed on a study of this set. The topics considered include the geometry of the escaping set, its Hausdorﬀ dimension, its relation to the Julia set, and various subsets of the escaping set deﬁned in terms of escape rates.
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Walter Bergweiler, Gwyneth M. Stallard, Mini-Workshop: The Escaping Set in Transcendental Dynamics. Oberwolfach Rep. 6 (2009), no. 4, pp. 2927–2964