On a Conjecture of FurstenbergMathematics and Statistics Faculty Publications and Presentations
SponsorSupport from NSF grant DMS-0072312 and Penn State in the form of a sabbatical leave is acknowledged.
- Iteration (mathematics),
- Continuous functions,
- Hausdorff measures,
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.
Citation InformationGrzegorz Świçatek and J. J. P. Veerman. "On a Conjecture of Furstenberg" (2002)
Available at: http://works.bepress.com/jj-veerman/37/