Abstract
We are interested in biaccessible points in the Julia sets of rational functions. D. Schleicher and S. Zakeri studied which points can be biaccessible in the Julia sets of quadratic polynomials with irrationally indifferent fixed points [SZ, Za]. In this paper, we consider the two polynomial families fc(z) = zd + c, gθ(z) = e2πiθz + zd and the cubic rational family hθ,a(z) = e2πiθz2$\frac{z-a}{1-\bar{a}z}$.
Citation
Mitsuhiko Imada. "On biaccessible points in the Julia sets of some rational functions." Kodai Math. J. 33 (1) 135 - 163, March 2010. https://doi.org/10.2996/kmj/1270559163
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