Hausdorff Dimension of Order Preserving Sets

Authors

J. J. P. Veerman, Portland State UniversityFollow

Published In

Communications in Mathematical Physics

Document Type

Citation

Publication Date

1990

Abstract

Letg aC 2 generic bimodal map of the circle. We prove that the closure of the union of the order preserving recurrent sets with irrational rotation number has Hausdorff dimension zero. This set contains order preserving periodic orbits with each rotation numberp/q in the rotation interval ofg.

Rights

Copyright (1990) Springer

Locate the Document

https://doi.org/10.1007/BF02096760

DOI

10.1007/BF02096760

Persistent Identifier

https://archives.pdx.edu/ds/psu/36017

Citation Details

Veerman, J. J. P. (1990). Hausdorff dimension of order preserving sets. Communications in mathematical physics, 127(2), 313-317.