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math.DS2025★ 2 cited
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…
math.DS2014★ 6 cited
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…
math.DS2009★ 26 cited
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…