Canonical number systems, counting automata and fractals
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Publication:4551569
DOI10.1017/S0305004102005856zbMath1001.68070MaRDI QIDQ4551569
Klaus Scheicher, Jörg M. Thuswaldner
Publication date: 15 December 2002
Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)
Related Items (22)
Dynamical directions in numeration ⋮ On the fundamental group of self-affine plane tiles ⋮ The topological structure of fractal tilings generated by quadratic number systems ⋮ A survey on topological properties of tiles related to number systems ⋮ Unimodular Pisot substitutions and their associated tiles ⋮ Fractal tiles associated with shift radix systems ⋮ Graph-directed systems and self-similar measures on limit spaces of self-similar groups ⋮ Boundary parametrization of planar self-affine tiles with collinear digit set ⋮ Interior components of a tile associated to a quadratic canonical number system ⋮ On Lebesgue measure of integral self-affine sets ⋮ The Thue-Morse and Rudin-Shapiro sequences at primes in principal number fields ⋮ Representations for complex numbers with integer digits ⋮ Invariant measure of rotational beta expansion and Tarski's Plank problem ⋮ Height reducing property of polynomials and self-affine tiles ⋮ Asymptotic normality of additive functions on polynomial sequences in canonical number systems ⋮ Boundary parametrization of self-affine tiles ⋮ Number systems, \(\alpha\)-splines and refinement ⋮ Topology of a class of \(p2\)-crystallographic replication tiles ⋮ Asymptotic normality of \(b\)-additive functions on polynomial sequences in number systems ⋮ Height reducing problem on algebraic integers ⋮ Crystallographic number systems ⋮ Number systems and tilings over Laurent series
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