On a Conjecture of Furstenberg

Authors

Grzegorz Świçatek, Penn State University
J. J. P. Veerman, Portland State UniversityFollow

Sponsor

Support from NSF grant DMS-0072312 and Penn State in the form of a sabbatical leave is acknowledged.

Document Type

Post-Print

Publication Date

2002

Subjects

Iteration (mathematics), Continuous functions, Hausdorff measures, Probabilities

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 Details

Świçatek, Grzegorz and Veerman, J. J. P., "On a Conjecture of Furstenberg" (2002). Mathematics and Statistics Faculty Publications and Presentations. 152.
http://archives.pdx.edu/ds/psu/17791