Classification of Escaping Exponential Maps

Details Classification of Escaping Exponential Maps Classification of Escaping Exponential Maps

2003-11-25

arxiv.org/abs/math/0311427v6

Proc. Amer. Math. Soc. 136 (2008), 651-663

Mathematics

Dynamical Systems

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

Scientific paper

10.1090/S0002-9939-07-09073-9

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.

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