Connected escaping sets of exponential maps
classification
🧮 math.DS
math.CV
keywords
connectedexponentialinfinityiterationparametersundercomplexconverge
read the original abstract
We show that for many complex parameters a, the set of points that converge to infinity under iteration of the exponential map f(z)=e^z+a is connected. This includes all parameters for which the singular value escapes to infinity under iteration.
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