An Application of Holomorphic Motion for $f_a(z)=a(e^z(z-1)+1)$
Wednesday, 21. March 2012, 12:00 - 13:00
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Contact Asli Deniz (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.
Location IMUB - Universitat de Barcelona