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Geometry of Cantor Systems
Author(s):
Yunping
Jiang
Journal:
Trans. Amer. Math. Soc.
351
(1999),
1975-1987.
MSC (1991):
Primary 57F25, 58F11
Posted:
January 27, 1999
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Abstract:
A Cantor system is defined. The geometry of a certain family of Cantor systems is studied. Such a family arises in dynamical systems as hyperbolicity is created. We prove that the bridge geometry of a Cantor system in such a family is uniformly bounded and that the gap geometry is regulated by the size of the leading gap.
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Additional Information:
Yunping
Jiang
Affiliation:
Department of Mathematics, Queens College, The City University of New York, Flushing, New York 11367-1597 and Department of Mathematics, Graduate School of The City University of New York, New York, New York 10036
Email:
yunqc@yunping.math.qc.edu
DOI:
10.1090/S0002-9947-99-02214-X
PII:
S 0002-9947(99)02214-X
Received by editor(s):
February 12, 1996
Received by editor(s) in revised form:
December 2, 1996
Posted:
January 27, 1999
Additional Notes:
Partially supported by an NSF grant and PSC-CUNY awards
Copyright of article:
Copyright
1999,
American Mathematical Society
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