Mini-Workshop: The Escaping Set in Transcendental Dynamics
Walter Bergweiler
Christian-Albrechts-Universität zu Kiel, GermanyGwyneth M. Stallard
Open University, Milton Keynes, UK
Abstract
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.
Cite this article
Walter Bergweiler, Gwyneth M. Stallard, Mini-Workshop: The Escaping Set in Transcendental Dynamics. Oberwolfach Rep. 6 (2009), no. 4, pp. 2927–2964
DOI 10.4171/OWR/2009/54