26 citations · 34 across the 3 of their papers we have counts for
5 papers
Fractal tiles induced by tent maps
Klaus Scheicher, Victor F. Sirvent, Paul Surer
In the present article, we deal with geometrical objects induced by the tent maps associated with special Pisot numbers that we call tent-tiles. They are compact subsets of the one…
Triangular labyrinth fractals
Ligia L. Cristea, Paul Surer
We define and study a class of fractal dendrites called triangular labyrinth fractals. For the construction, we use triangular labyrinth patterns systems that consist of two triang…
Beta-expansions of -adic numbers
Klaus Scheicher, Victor F. Sirvent, Paul Surer
In the present article, we introduce beta-expansions in the ring of -adic integers. We characterise the sets of numbers with eventually periodic and finite expans…
Digit systems over commutative rings
Klaus Scheicher, Paul Surer, Jörg M. Thuswaldner +1
Let $\E$ be a commutative ring with identity and $P\in\E[x]$ be a polynomial. In the present paper we consider digit representations in the residue class ring $\E[x]/(P)$. In parti…
Fractal tiles associated with shift radix systems
Valérie Berthé, Anne Siegel, Wolfgang Steiner +2
Shift radix systems form a collection of dynamical systems depending on a parameter which varies in the -dimensional real vector space. They generalize well-known n…