On biaccessible points in the Julia sets of some rational functions

Imada, Mitsuhiko

Kodai Math. J., Tome 33 (2010) no. 1, p. 135-163 / Harvested from Project Euclid

Résumé

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 f_c(z) = z^d + c, g_θ(z) = e^2πiθz + z^d and the cubic rational family h_θ,a(z) = e^2πiθz² $\frac{z-a}{1-\bar{a}z}$ .

Publié le : 2010-03-15
Classification:

@article{1270559163,
     author = {Imada, Mitsuhiko},
     title = {On biaccessible points in the Julia sets of some rational functions},
     journal = {Kodai Math. J.},
     volume = {33},
     number = {1},
     year = {2010},
     pages = { 135-163},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1270559163}
}

Imada, Mitsuhiko. On biaccessible points in the Julia sets of some rational functions. Kodai Math. J., Tome 33 (2010) no. 1, pp.  135-163. http://gdmltest.u-ga.fr/item/1270559163/