Classification of Escaping Exponential Maps

Markus Förster; Lasse Rempe; Dierk Schleicher

doi:10.1090/S0002-9939-07-09073-9

Classification of Escaping Exponential Maps

动力系统 2007-12-11 v6 复变函数

作者: Markus Förster , Lasse Rempe , Dierk Schleicher

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摘要

We give a complete classification of the set of parameters $\kappa$ for which the singular value of $E_{\kappa}:z\mapsto \exp(z)+\kappa$ escapes to infinity under iteration. In particular, we show that every path-connected component of this set is a curve to infinity.

关键词

thurston maps interval exchange maps

引用

@article{arxiv.math/0311427,
  title  = {Classification of Escaping Exponential Maps},
  author = {Markus Förster and Lasse Rempe and Dierk Schleicher},
  journal= {arXiv preprint arXiv:math/0311427},
  year   = {2007}
}

备注

13 pages, 1 figure -- final version (to appear in Proc. AMS); only minor changes from v5

Classification of Escaping Exponential Maps

摘要

关键词

引用

备注

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