Skip Navigation

Journal of the London Mathematical Society 1986 s2-33(1):89-100; doi:10.1112/jlms/s2-33.1.89
© 1986 by London Mathematical Society
This Article
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Bedford, T.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© Oxford University Press

Dimension and Dynamics for Fractal Recurrent Sets

Tim Bedford

Department of Pure Mathematics and Mathematical Statistics 16 Mill Lane, Cambridge CB2 1SB and King's College Research Centre, King's College Cambridge CB2 1ST

The fractal ‘recurrent sets’ defined by F. M. Dekking are analysed using subshifts of finite type. We show how Dekking's method is related to a construction due to J. Hutchinson, and prove a conjecture of Dekking concerning conditions under which the best general upper bound for the Hausdorff dimension for recurrent sets is actually equal to the Hausdorff dimension.


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer:
Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.