Geometry of Cantor Systems

Jiang, Yunping

doi:10.1090/S0002-9947-99-02214-X

Geometry of Cantor Systems
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by Yunping Jiang

Trans. Amer. Math. Soc. 351 (1999), 1975-1987

DOI: https://doi.org/10.1090/S0002-9947-99-02214-X

Published electronically: 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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