Abstract
Let $f_{\lambda}(z) = \lambda e^{z}$. In this short note, we consider those maps $f_{\lambda}$ with $\lambda$ close to $1$. We show that the probability that $f_{\lambda}$ is hyperbolic approaches $1$ as $\lambda \to 1$.
Citation
Xiumei Wang. Gaofei Zhang. "Most of the maps near the exponential are hyperbolic." Nagoya Math. J. 191 135 - 148, 2008.
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