Seminari di Sistemi Dinamici Olomorfi 2011-2012
timetable:
Wed 2 Nov, 15:30 - 16:30, Sala Conferenze Centro De Giorgi
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seminar: A transcendental separation theorem
speaker: Anna Miriam Benini (Centro di Ricerca Matematica "Ennio De Giorgi")abstract:
(joint work with N.Fagella)
In polynomial dynamics, it is known by a theorem of
Goldberg and Milnor that periodic rays, together with their landing
points, separate the plane into regions containing each one and only
one interior periodic point.
We will show an analog of this theorem for transcendental entire
functions with bounded set of singular values and of finite order (or
composition of finite order), under the assumption that periodic rays
land.
This has various consequences, among them, that there cannot be Cremer
points on the boundary of Siegel disks, and that 'hidden components'
of a Siegel disk all have to be preperiodic to the Siegel disk itself.
timetable:
Wed 2 Nov, 15:30 - 16:30, Sala Conferenze Centro De Giorgi
<< Go back