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Title:Cremer Points and Critical Points in Complex Dynamics
Author(s):Petracovici, Lia
Doctoral Committee Chair(s):Aimo Hinkkanen
Department / Program:Mathematics
Discipline:Mathematics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Mathematics
Abstract:In 2000, Kiwi proved that polynomials with a Cremer fixed point having the small cycles property have a non-accessible point in their Julia set. We extend Kiwi's result to the context of rational maps with a completely invariant attracting component. More precisely, we prove that rational functions with a completely invariant (super)attracting Fatou component having a Cremer fixed point that is approximated by small cycles, have a critical point that is not accessible from the complement of the Julia set.
Issue Date:2003
Type:Text
Language:English
Description:73 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2003.
URI:http://hdl.handle.net/2142/86821
Other Identifier(s):(MiAaPQ)AAI3101948
Date Available in IDEALS:2015-09-28
Date Deposited:2003


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