The structure of the univoque set in the big case
Publication Name: Publicationes Mathematicae Debrecen
Publication Date: 2001-01-01
Volume: 59
Issue: 3-4
Page Range: 471-489
Description:
Let β > 1, Θ = 1/β, D = {0, 1, . . . , [β]}. In this paper we continue the investigation of the numbers which have only one expansion in the form ∑n=1 ∞ εn Θn with ε ∈ DN. We present a method for the determination of the Hausdorff dimension of the set of these numbers in the so-called big case, illustrated with interesting examples.
Open Access: Yes
