On Siegel disks of a class of entire maps
Zakeri, Saeed
Duke Math. J., Tome 151 (2010) no. 1, p. 481-532 / Harvested from Project Euclid
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Let $f:{\mathbb C} \to {\mathbb C}$ be an entire map of the form $f(z)=P(z) {\rm exp}(Q(z))$ , where $P$ and $Q$ are polynomials of arbitrary degrees. (We allow the case $Q=0$ .) Building upon a method pioneered by M. Shishikura, we show that if $f$ has a Siegel disk of bounded-type rotation number centered at the origin, then the boundary of this Siegel disk is a quasi circle containing at least one critical point of $f$ . This unifies and generalizes several previously known results
Publié le : 2010-04-15
Classification:  37F10,  37F50,  37F30,  37F45 
@article{1271783597,
     author = {Zakeri, Saeed},
     title = {On Siegel disks of a class of entire maps},
     journal = {Duke Math. J.},
     volume = {151},
     number = {1},
     year = {2010},
     pages = { 481-532},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1271783597}
}

Zakeri, Saeed. On Siegel disks of a class of entire maps. Duke Math. J., Tome 151 (2010) no. 1, pp.  481-532. http://gdmltest.u-ga.fr/item/1271783597/