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.
Cite
CITATION STYLE
APA
Jiang, Y. (1999). Geometry of Cantor Systems. Transactions of the American Mathematical Society, 351(5), 1975–1987. https://doi.org/10.1090/s0002-9947-99-02214-x
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