Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

   

 

Self-similar sets with an open set condition and great variety of overlaps


Authors: Christoph Bandt and Nguyen Viet Hung
Journal: Proc. Amer. Math. Soc. 136 (2008), 3895-3903
MSC (2000): Primary 28A80; Secondary 37B10, 37F20
Published electronically: May 22, 2008
MathSciNet review: 2425729
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: For a very simple family of self-similar sets with two pieces, we prove, using a technique of Solomyak, that the intersection of the pieces can be a Cantor set with any dimension in $ [0,0.2]$ as well as a finite set of any cardinality $ 2^m$. The main point is that the open set condition is fulfilled for all these examples.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 28A80, 37B10, 37F20

Retrieve articles in all journals with MSC (2000): 28A80, 37B10, 37F20


Additional Information

Christoph Bandt
Affiliation: Institute for Mathematics and Informatics, Arndt University, 17487 Greifswald, Germany
Email: bandt@uni-greifswald.de

Nguyen Viet Hung
Affiliation: Department of Mathematics, Hue University, Hue, Vietnam
Email: nvh0@yahoo.com

DOI: http://dx.doi.org/10.1090/S0002-9939-08-09349-0
PII: S 0002-9939(08)09349-0
Received by editor(s): March 16, 2007
Received by editor(s) in revised form: September 19, 2007
Published electronically: May 22, 2008
Communicated by: Jane M. Hawkins
Article copyright: © Copyright 2008 By the authors