Support from NSF grant DMS-0072312 and Penn State in the form of a sabbatical leave is acknowledged.
Iteration (mathematics), Continuous functions, Hausdorff measures, Probabilities
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.
Świçatek, Grzegorz and Veerman, J. J. P., "On a Conjecture of Furstenberg" (2002). Mathematics and Statistics Faculty Publications and Presentations. 152.