Classification of escaping exponential maps

  • Förster M
  • Rempe L
  • Schleicher D
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Abstract

We give a complete classification of the set of parameters κ for which the singular value of E K : z → exp(z) + κ escapes to ∞; under iteration. In particular, we show that every path-connected component of this set is a curve to infinity. © 2007 American Mathematical Society.

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Förster, M., Rempe, L., & Schleicher, D. (2007). Classification of escaping exponential maps. Proceedings of the American Mathematical Society, 136(02), 651–663. https://doi.org/10.1090/s0002-9939-07-09073-9

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