23 citations · 100 across the 28 of their papers we have counts for
11 papers · 1 filter
On the periodic decompositions of multidimensional configurations
Pyry Herva, Jarkko Kari
We consider -dimensional configurations, that is, colorings of the -dimensional integer grid with finitely many colors. Moreover, we interpret the colors as in…
Expansivity and periodicity in algebraic subshifts
Jarkko Kari
A d-dimensional configuration c : Z^d -> A is a coloring of the d-dimensional infinite grid by elements of a finite alphabet A \subseteq Z. The configuration c has an annihilator i…
Planar Rosa : a family of quasiperiodic substitution discrete plane tilings with -fold rotational symmetry
Jarkko Kari, Victor Lutfalla
We present Planar Rosa, a family of rhombus tilings with a -fold rotational symmetry that are generated by a primitive substitution and that are also discrete plane tilings, me…
Substitution discrete plane tilings with -fold rotational symmetry for odd n
Jarkko Kari, Victor H. Lutfalla
We study substitution tilings that are also discrete plane tilings, that is, satisfy a relaxed version of cut-and-projection. We prove that the Sub Rosa substitution tilings with a…
Low-Complexity Tilings of the Plane
Jarkko Kari
A two-dimensional configuration is a coloring of the infinite grid Z^2 with finitely many colors. For a finite subset D of Z^2, the D-patterns of a configuration are the colored pa…
Decidability and Periodicity of Low Complexity Tilings
Jarkko Kari, Etienne Moutot
In this paper we study colorings (or tilings) of the two-dimensional grid . A coloring is said to be valid with respect to a set of rectangular patter…