Asymptotic Geometry of Hyperbolic Well-ordered Cantor Sets

Authors

F. M. Tangerman, Stony Brook University
J. J. P. Veerman, Portland State UniversityFollow

Published In

Journal of Statistical Physics

Document Type

Citation

Publication Date

1990

Abstract

In this paper we study the well-ordered Cantor sets in hyperbolic sets on the line and the plane. Examples of such sets occur in circle maps and in area-preserving twist maps. We set up a renormalization scheme employing in both cases the first return map. We prove …

Rights

Copyright (1990) Springer

Locate the Document

https://doi.org/10.1007/BF01015571

DOI

10.1007/BF01015571

Persistent Identifier

https://archives.pdx.edu/ds/psu/36033

Citation Details

Tangerman, F. M., & Veerman, J. J. P. (1990). Asymptotic geometry of hyperbolic well-ordered cantor sets. Journal of Statistical Physics, 59(1-2), 299-321.