Parameter rays for the exponential family

Details Parameter rays for the exponential family Parameter rays for the exponential family

2005-05-06

arxiv.org/abs/math/0505097v1

Mathematics

Dynamical Systems

31 pages, 4 figures

Scientific paper

We investigate the set of parameters $\kappa\in\C$ for which the singular
orbit $(0,e^{\kappa},...)$ of $E_{\kappa}(z):=\exp(z+\kappa)$ converges to
$\infty$. These parameters are organized in smooth curves in parameter space
called \emph{parameter rays}.

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