The escaping set of the exponential

Abstract

We show that the points that converge to infinity under iteration of the exponential map form a connected subset of the complex plane.

5 pages, 1 figure

References in corpus (3)

• Classification of Escaping Exponential Maps
• On a question of Eremenko concerning escaping components of entire functions
• Semiconjugacies, pinched Cantor bouquets and hyperbolic orbifolds

Cited by in corpus (2)

• Maximally and non-maximally fast escaping points of transcendental entire functions
• The escaping set in transcendental dynamics