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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…