Add to ORKGThis 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 of rational numbers having a purely periodic $\beta$-expansion. Secial focus is given to some quadratic examples
Abstract. Given a number β>1, the beta-transformation T = Tβ is defined for x ∈ [0,1] by Tx: = βx...
For abstract numeration systems built on exponential regular languages (including those coming from ...
AbstractIt is well known that real numbers with a purely periodic decimal expansion are rationals ha...
This paper studies tilings related to the $\beta$-transformation when $\beta$ is a Pisot number (tha...
Abstract. This paper studies tilings related to the β-transformation when β is a Pisot number (that ...
Abstract. For a (non-unit) Pisot number β, several collections of tiles are associated with β-numera...
International audienceFor a (non-unit) Pisot number $\beta$, several collections of tiles are associ...
Abstract. We study rational numbers with purely periodic Rényi β-expansions. For bases β satisfying ...
International audienceFrom the works of Rauzy and Thurston, we know how to construct (multiple) tili...
It is well-known that real numbers with a purely periodic decimal expansion are the rationals having...
International audienceWe study real numbers $\beta$ with the curious property that the $\beta$-expan...
For abstract numeration systems built on exponential regular languages (including those coming from ...
International audienceThis paper surveys different constructions and properties of some multiple til...
Abstract. Given a number β>1, the beta-transformation T = Tβ is defined for x ∈ [0,1] by Tx: = βx...
For abstract numeration systems built on exponential regular languages (including those coming from ...
AbstractIt is well known that real numbers with a purely periodic decimal expansion are rationals ha...
This paper studies tilings related to the $\beta$-transformation when $\beta$ is a Pisot number (tha...
Abstract. This paper studies tilings related to the β-transformation when β is a Pisot number (that ...
Abstract. For a (non-unit) Pisot number β, several collections of tiles are associated with β-numera...
International audienceFor a (non-unit) Pisot number $\beta$, several collections of tiles are associ...
Abstract. We study rational numbers with purely periodic Rényi β-expansions. For bases β satisfying ...
International audienceFrom the works of Rauzy and Thurston, we know how to construct (multiple) tili...
It is well-known that real numbers with a purely periodic decimal expansion are the rationals having...
International audienceWe study real numbers $\beta$ with the curious property that the $\beta$-expan...
For abstract numeration systems built on exponential regular languages (including those coming from ...
International audienceThis paper surveys different constructions and properties of some multiple til...
Abstract. Given a number β>1, the beta-transformation T = Tβ is defined for x ∈ [0,1] by Tx: = βx...
For abstract numeration systems built on exponential regular languages (including those coming from ...
AbstractIt is well known that real numbers with a purely periodic decimal expansion are rationals ha...