9 citations · 16 across the 3 of their papers we have counts for
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math.DS2004★ 9 cited
Hyperbolic Components in Exponential Parameter Space
Dierk Schleicher
We discuss the space of complex exponential maps $\Ek\colon z\mapsto e^{z}+κ$. We prove that every hyperbolic component has connected boundary, and there is a conformal isomorp…
math.DS2004
Immediate and Virtual Basins of Newton's Method for Entire Functions
Sebastian Mayer, Dierk Schleicher
We investigate the well known Newton method to find roots of entire holomorphic functions. Our main result is that the immediate basin of attraction for every root is simply connec…