Siegel disks with critical points in their boundaries

Graczyk, Jacek; Świątek, Grzegorz

Duke Math. J., Tome 120 (2003) no. 3, p. 189-196 / Harvested from Project Euclid

Résumé

Consider an analytic function f which has a Siegel disk properly contained in the domain of holomorphy. We prove that if the rotation number is of bounded type, then f has a critical point in the boundary of the Siegel disk.

Publié le : 2003-07-15
Classification: 37Fxx, 30Cxx

@article{1082744709,
     author = {Graczyk, Jacek and \'Swi\k atek, Grzegorz},
     title = {Siegel disks with critical points in their boundaries},
     journal = {Duke Math. J.},
     volume = {120},
     number = {3},
     year = {2003},
     pages = { 189-196},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1082744709}
}

Graczyk, Jacek; Świątek, Grzegorz. Siegel disks with critical points in their boundaries. Duke Math. J., Tome 120 (2003) no. 3, pp.  189-196. http://gdmltest.u-ga.fr/item/1082744709/