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1. CONNECTED ESCAPING SETS OF EXPONENTIAL MAPS.

Author

Rempe, Lasse

Subjects
*ITERATIVE methods (Mathematics), *HOLOMORPHIC functions, *PARAMETER estimation, *POLYNOMIALS, *MATHEMATICAL analysis
Abstract

We show that, for many parameters aϵC, the set I(fa) of points that converge to infinity under iteration of the exponential map fa(z) = ez + a is connected. This includes all parameters for which the singular value a escapes to infinity under iteration of fa. [ABSTRACT FROM AUTHOR]

Published
2011
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