Communications in Mathematical Physics

, Volume 335, Issue 2, pp 739–757 | Cite as

Non-Computable Impressions of Computable External Rays of Quadratic Polynomials



We discuss computability of impressions of prime ends of compact sets. In particular, we construct quadratic Julia sets which possess explicitly described non-computable impressions.


Harmonic Measure External Argument Computable Sequence Siegel Disk Conformal Radius 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • Ilia Binder
    • 1
  • Cristobal Rojas
    • 2
  • Michael Yampolsky
    • 1
  1. 1.University of TorontoTorontoCanada
  2. 2.Universidad Andres BelloSantiagoChile

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