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Non-persistently recurrent points, qc-surgery and instability of rational maps with totally disconnected Julia sets
Author(s):
Peter
M.
Makienko
Journal:
Conform. Geom. Dyn.
10
(2006),
197-202.
MSC (2000):
Primary 37F45;
Secondary 37F30
Posted:
September 6, 2006
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Additional information
Abstract:
Let  be a rational map with a totally disconnected Julia set  . If the postcritical set on  contains a non-persistently recurrent (or conical) point, then we show that the map  cannot be a structurally stable map.
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37F30
Additional Information:
Peter
M.
Makienko
Affiliation:
Instituto de Matematicas, Av. Universidad S/N., Col. Lomas de Chamilpa, C.P. 62210, Cuernavaca, Morelos, Mexico
DOI:
10.1090/S1088-4173-06-00142-1
PII:
S 1088-4173(06)00142-1
Received by editor(s):
June 13, 2005
Posted:
September 6, 2006
Copyright of article:
Copyright
2006,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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