Non-Negative Digit Sets in Positional Number Systems
From MaRDI portal
Publication:4172117
DOI10.1112/plms/s3-37.2.213zbMath0391.10012OpenAlexW2061708606MaRDI QIDQ4172117
Publication date: 1978
Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1112/plms/s3-37.2.213
Radix representation; digital problems (11A63) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16)
Related Items (max. 100)
On one-dimensional self-similar tilings and $pq$-tiles ⋮ Rep-tiling Euclidean space ⋮ On single-matrix graph-directed iterated function systems ⋮ Projecting the one-dimensional Sierpiński gasket ⋮ Affine systems: asymptotics at infinity for fractal measures ⋮ Harmonic analysis of fractal measures ⋮ Number expansions in lattices ⋮ Rational self-affine tiles ⋮ Product-form Hadamard triples and its spectral self-similar measures ⋮ Tiling and spectrality for generalized Sierpinski self-affine sets ⋮ Self-similar measures with product-form digit sets and their spectra ⋮ Spectrality of self-similar tiles ⋮ Some Recent Developments of Self-Affine Tiles ⋮ Intersecting self-similar Cantor sets ⋮ Nonnegative Radix Representations for the Orthant 𝑅ⁿ₊ ⋮ On self-similar spectral measures ⋮ Characterization of a class of planar self-affine tile digit sets ⋮ Tilings of convex polyhedral cones and topological properties of self-affine tiles ⋮ Integral self-affine tiles in \(\mathbb{R}^n\). II: Lattice tilings ⋮ Binary number systems for \(\mathbb Z^{k}\) ⋮ The self-similarity structure on infinite intervals ⋮ Noncanonical number systems in the integers ⋮ Classification of tile digit sets as product-forms ⋮ Unitary representations of wavelet groups and encoding of iterated function systems in solenoids ⋮ On the structures of generating iterated function systems of Cantor sets ⋮ Fourier duality for fractal measures with affine scales ⋮ Spectral structure of digit sets of self-similar tiles on ${\mathbb R}^1$ ⋮ On the boundaries of self-similar tiles in $\mathbb {R}^1$ ⋮ Disklikeness of planar self-affine tiles ⋮ Digit sets for self-similar tiles
This page was built for publication: Non-Negative Digit Sets in Positional Number Systems