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2001 Farey Curves
Xavier Buff, Christian Henriksen, John H. Hubbard
Experiment. Math. 10(4): 481-486 (2001).

Abstract

We study the analytic function $\eta$ defined on the unit disk by $\eta(\lambda)=\lim_{n\to +\infty} P_\lambda^{\circ n}(-\lambda/2)/\lambda^n,$ where $P_\lambda$ is the quadratic polynomial $z\mapsto \lambda z+z^2$.

Citation

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Xavier Buff. Christian Henriksen. John H. Hubbard. "Farey Curves." Experiment. Math. 10 (4) 481 - 486, 2001.

Information

Published: 2001
First available in Project Euclid: 26 November 2003

zbMATH: 1035.37033
MathSciNet: MR1881748

Keywords: analytic functions , holomorphic dynamics , Siegel disks

Rights: Copyright © 2001 A K Peters, Ltd.

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Vol.10 • No. 4 • 2001
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