5 citations · 5 across the 2 of their papers we have counts for
2 papers
math.DS2007
Boundary of central tiles associated with Pisot beta-numeration and purely periodic expansions
S. Akiyama, G. Barat, V. Berthe +1
This paper studies tilings related to the beta-transformation when beta is a Pisot number (that is not supposed to be a unit). Then it applies the obtained results to study the set…
math.DS2004★ 5 cited
Purely periodic beta-expansions in the Pisot non-unit case
Valerie Berthe, Anne Siegel
It is well known that real numbers with a purely periodic decimal expansion are the rationals having, when reduced, a denominator coprime with 10. The aim of this paper is to exten…