The structure of the univoque set in the small case. (English) Zbl 0968.11030
Summary: In this paper we generalize the results obtained in [Publ. Math. 46, No. 3-4, 385-408 (1995; Zbl 0874.11013) and Publ. Math. 42, No. 3-4, 397-407 (1993; Zbl 0809.11008)] for the determination of the Hausdorff dimension of the univoque set. We break down the general problem into two subcases, and accomplish the investigation completely in the simplest case. Finally we illustrate the theoretical results with an interesting example.
MSC:
11K55 | Metric theory of other algorithms and expansions; measure and Hausdorff dimension |
11A63 | Radix representation; digital problems |