JournalsowrVol. 6 , No. 4DOI 10.4171/owr/2009/54

Mini-Workshop: The Escaping Set in Transcendental Dynamics

  • Walter Bergweiler

    Christian-Albrechts-Universität zu Kiel, Germany
  • Gwyneth M. Stallard

    Open University, Milton Keynes, UK
Mini-Workshop: The Escaping Set in Transcendental Dynamics cover

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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.