scientific article

From MaRDI portal
Publication:4037009

zbMath0770.52013MaRDI QIDQ4037009

Richard W. Kenyon

Publication date: 18 May 1993


Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.



Related Items

On one-dimensional self-similar tilings and $pq$-tilesCrystallographic reptilesAtomic surfaces, tilings and coincidences. II: Reducible caseFinite subdivision rulesRep-tiling Euclidean spaceOn single-matrix graph-directed iterated function systemsProjecting the one-dimensional Sierpiński gasketThe topological structure of fractal tilings generated by quadratic number systemsThe properties of a family of tiles with a parameterA survey on topological properties of tiles related to number systemsA characterization of connected self-affine fractals arising from collinear digitsHarmonic analysis of fractal measuresSelf-similar tilings and expanding homomorphisms of groupsRational self-affine tilesSpectral theory of spin substitutionsA criterion for self-similar sets to be totally disconnectedSelf-affine tiles generated by a finite number of matricesProduct-form Hadamard triples and its spectral self-similar measuresTiling and spectrality for generalized Sierpinski self-affine setsOn substitution tilings and Delone sets without finite local complexitySpectrality of self-similar tilesTopological properties of a class of self-affine tiles in $\mathbb {R}^3$A class of self-affine tiles in \(\mathbb{R}^3\) that are tame balls revisitedOn self-affine tiles that are homeomorphic to a ballSPACE-FILLING CURVES OF SELF-SIMILAR SETS (III): SKELETONSSelf-affine manifoldsLimit theorems for self-similar tilingsSome Recent Developments of Self-Affine TilesNonnegative Radix Representations for the Orthant 𝑅ⁿ₊ ⋮ [https://portal.mardi4nfdi.de/wiki/Publication:4344721 Pavages auto-affines, op�rateurs de transfert et crit�res de r�seau dans ? d] ⋮ Characterization of a class of planar self-affine tile digit setsDual systems of algebraic iterated function systemsAnalysis of a class of spectral pair conditionsDelone Sets and Dynamical SystemsSpace-filling curves of self-similar sets (II): edge-to-trail substitution ruleTilings of convex polyhedral cones and topological properties of self-affine tilesRigidity of planar tilingsIntegral self-affine tiles in \(\mathbb{R}^n\). II: Lattice tilingsAtomic surfaces, tilings and coincidence. I: Irreducible caseIntegral self-affine tiles of Bandt's modelDo self-similar sets with positive Lebesgue measure contain an interval?A Markov partition that reflects the geometry of a hyperbolic toral automorphismTopology of planar self-affine tiles with collinear digit setOn self-affine tiles whose boundary is a sphereTiling $$\mathbb{Z}^{2}$$ by a Set of Four Elements\(AH\)-substitution and Markov partition of a group automorphism on \(T^d\)Algebraic numbers, free group automorphisms and substitutions on the planeSelf-affine tilings with several tiles. ICharacterization of tile digit sets with prime determinantsSpectral structure of digit sets of self-similar tiles on ${\mathbb R}^1$On the boundaries of self-similar tiles in $\mathbb {R}^1$Fractal Escher salamanders and other animalsDimension of the intersection of certain Cantor sets in the planeA class of self-affine tiles in \(\mathbb{R}^d\) that are \(d\)-dimensional tame ballsA family of minimal and renormalizable rectangle exchange mapsNumeration systems and Markov partitions from self similar tilingsDigit sets for self-similar tilesBOUNDARY PARAMETRIZATION AND THE TOPOLOGY OF TILESCoding and tiling of Julia sets for subhyperbolic rational maps