Sadun, Topology of (Some) Tiling Spaces without Finite Local Complexity, Discrete and Continuous Dynamical Systems 23 (2009) 847-865.N.P. Frank, L. Sadun, Topology of some tiling spaces without finite local complexity, Discrete Contin. Dyn. Syst., to appear....
Yan. Combinatorial tilings of the... Y Min - 《Electronic Journal of Combinatorics》 被引量: 16发表: 2013年 Proximality and Pure Point Spectrum for Tiling Dynamical Systems In order to understand the combinatorial properties of a single tiling T of Euclidean space R~n, one may consider the ...
of elements of some subfamily of U;“Hausdorff” refers to a topological space where for any two distinct points there exist neighbourhoods of each which are disjoint from each other, and “homeomorphic” means the existence of a homeomorphism, a continuous function between topological spaces that...
The theory of hyperbolic band topology with second Chern numbers We start to design a tight-binding lattice model in the 2D hyperbolic space. Figure1aillustrates the Bravais lattice of designed hyperbolic model in a Poincaré disk, where the translational symmetry of a {8,8} hyperbolic tiling exi...
The new phase kat- Zn(MeIm)2 crystallizes in the tetragonal space group P42c (a ¼ 16.139(1) Å, b ¼ 16.321(1) Å) with four crystallographically independent Zn(II) sites. Each Zn(II) ion is in a tetrahedral environment defined by four 2-methylimidazolate ligands. Each ligand...
To understand on aperiodic tiling (or a quasicrystal modeled on an aperiodic tiling), we construct a space of similar tilings, on which the group of translations acts naturally. This space is then an (abstract) dynamical system. Dynamical properties of the space (such as mixing, or the ...
Topology of the Random Fibonacci Tiling SpaceWe look at the topology of the tiling space of locally random Fibonacci\nsubstitution, which is defined as a-->ba with probability p, a-->ab with\nprobability 1-p and b-->a for 0 doi:10.12693/APhysPolA.126.564Franz GhlerEden Provido ...
A tiling space is a closed subset of that is invariant under this action. The chapter explains the concepts of topological rigidity and the topological structure of tiling spaces. It also explains about deformations of tiling spaces.Alex Clark...
This work aims to take into account not only the node's computational power when tiling iteration space of nested loops but also the exploitation of the network topology when mapping tiles to processing nodes. This approach allows minimizing the parallel execution time by improving the load ...
TilingHomeomorphy to a disk05B4552C2020H15We study self-affine tiles which tile the n-dimensional real vector space with respect to a crystallographic group. First we define classes of graphs that allow to determine the neighbors of a given tile algorithmically. In the case of plane tiles ...