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The escaping set of the exponential

Published online by Cambridge University Press:  29 June 2009

LASSE REMPE
LASSE REMPE*
Affiliation:
Department of Mathematical Sciences, University of Liverpool, Liverpool L69 7ZL, UK (email: l.rempe@liverpool.ac.uk)
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Abstract

We show that the set I(f) of points that converge to infinity under iteration of the exponential map f(z)=exp (z) is a connected subset of the complex plane.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 30 , Issue 2 , April 2010 , pp. 595 - 599
Copyright
Copyright © Cambridge University Press 2009

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