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Article
On a Conjecture of Furstenberg
Mathematics and Statistics Faculty Publications and Presentations
  • Grzegorz Świçatek, Penn State University
  • J. J. P. Veerman, Portland State University
Document Type
Post-Print
Publication Date
1-1-2002
Subjects
  • Iteration (mathematics),
  • Continuous functions,
  • Hausdorff measures,
  • Probabilities
Disciplines
Abstract

The Hausdorff dimension of the set of numbers which can be written using digits 0, 1,t in base 3 is estimated. For everyt irrational a lower bound 0.767 … is found.

Description

This is the author’s version of a work that was accepted for publication in Israel Journal of Mathematics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication.

A definitive version was subsequently published in Israel Journal of Mathematics and can be found online at: http://dx.doi.org/10.1007/BF02764075

DOI
10.1007/BF02764075
Persistent Identifier
http://archives.pdx.edu/ds/psu/17791
Citation Information
Grzegorz Świçatek and J. J. P. Veerman. "On a Conjecture of Furstenberg" (2002)
Available at: http://works.bepress.com/jj-veerman/37/