# An Application of Holomorphic Motion for $f_a(z)=a(e^z(z-1)+1)$

Date:
21.03.12
Times:
12:00 to 13:00
Place:
IMUB - Universitat de Barcelona
Speaker:
Asli Deniz
University:
Roskilde University/ Universitat de Barcelona

Abstract:

We show that holomorphic motion of the basin of the superattracting fixed point over a subset of the parameter plane is a strong contraction. As a result, in parameter plane, capture components are bounded.