Wandering domains and constant limit functions. part III [ Back ]

Date:
18.07.12   
Times:
11:00 to 13:00
Place:
IMUB - Universitat de Barcelona
Speaker:
Xavier Jarque
University:
Universitat de Barcelona

Abstract:

I'll summarize some (old and well known) results about the constant limit functions 
for points in a wandering domain (that is, a non-periodic Fatou component) and its relationship 
with the post--singular set. I will obtain some interesting, well known corollaries. I will also present 
a result from L. Rempe and H. Mihaljevic-Brant on the non existence of wandering domains for certain
maps of bounded type. Finally I will discuss (briefly... since, to tell the truth, I do not understand quite well...)  
a recent result of C. Bishop  which allows him to produce examples of entire maps with 
a controlled number of critical values (images of critical points). From this, he is able to give the first 
example of a wandering domain for a bounded type map.