Oberwolfach Reports


Full-Text PDF (352 KB) | Introduction as PDF | Metadata | Table of Contents | OWR summary
Volume 6, Issue 4, 2009, pp. 2927–2964
DOI: 10.4171/OWR/2009/54

Published online: 2010-09-01

Mini-Workshop: The Escaping Set in Transcendental Dynamics

Walter Bergweiler[1] and Gwyneth M. Stallard[2]

(1) Christian-Albrechts-Universität zu Kiel, Germany
(2) Open University, Milton Keynes, UK

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.

No keywords available for this article.

Bergweiler Walter, Stallard Gwyneth: Mini-Workshop: The Escaping Set in Transcendental Dynamics. Oberwolfach Rep. 6 (2009), 2927-2964. doi: 10.4171/OWR/2009/54