Lattice Substitution Systems and Model Sets

Details Lattice Substitution Systems and Model Sets Lattice Substitution Systems and Model Sets

2000-02-02

arxiv.org/abs/math/0002019v1

Mathematics

Metric Geometry

29 pages, 7 figures

Scientific paper

The paper studies ways in which the sets of a partition of a lattice in $\RR^n$ become regular model sets. The main theorem gives equivalent conditions which assure that a matrix substitution system on a lattice in $\RR^n$ gives rise to regular model sets (based on $p$-adic-like internal spaces), and hence to pure point diffractive sets. The methods developed here are used to show that the $n-$dimensional chair tiling and the sphinx tiling are pure point diffractive.

Affiliated with

Also associated with

No associations

Rating

Lattice Substitution Systems and Model Sets does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Lattice Substitution Systems and Model Sets, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Lattice Substitution Systems and Model Sets will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-391082