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Indecomposable continua in exponential dynamics
Author(s):
Robert
L.
Devaney;
Xavier
Jarque
Journal:
Conform. Geom. Dyn.
6
(2002),
1-12.
MSC (2000):
Primary 37F10
Posted:
January 16, 2002
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Abstract:
In this paper we prove the existence of uncountably many indecomposable continua in the dynamics of complex exponentials of the form  with  . These continua contain points that share the same itinerary under iteration of  . These itineraries are bounded but consist of blocks of  's whose lengths increase, and hence these continua are never periodic.
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Additional Information:
Robert
L.
Devaney
Affiliation:
Department of Mathematics, Boston University, Boston, Massachusetts 02215
Email:
bob@bu.edu
Xavier
Jarque
Affiliation:
University Autònoma de Barcelona, Barcelona (Bellaterra), Spain
Email:
xavier.jarque@uab.es
DOI:
10.1090/S1088-4173-02-00080-2
PII:
S 1088-4173(02)00080-2
Received by editor(s):
August 29, 2001
Received by editor(s) in revised form:
November 24, 2001
Posted:
January 16, 2002
Copyright of article:
Copyright
2002,
American Mathematical Society
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