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| Authors: | Steven P. Lalley |
| Affiliation: | Department of Statistics, Mathematical Sciences Bldg., Purdue University, West Lafayette, Indiana 47907 |
| Abstract: | An algorithm is given for computing the Hausdorff dimension of the set(s)  of real numbers with representations  , where each  , a finite set of ``digits', and  is a Pisot number. The Hausdorff dimension is shown to be  , where  is the top eigenvalue of a finite 0-1 matrix  , and a simple algorithm for generating  from the data  is given. |
| Keywords: | Hausdorff dimension entropy Pisot number |
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