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math.MG2009★ 44 cited
Consequences of Pure Point Diffraction Spectra for Multiset Substitution Systems
Jeong-Yup Lee, Robert V. Moody, Boris Solomyak
There is a growing body of results in the theory of discrete point sets and tiling systems giving conditions under which such systems are pure point diffractive. Here we look at th…
math.MG2009
Deforming Meyer sets
Jeong-Yup Lee, Robert V. Moody
A linear deformation of a Meyer set in $\RR^d$ is the image of under a group homomorphism of the group generated by into $\RR^d$. We provide a necessary and suffi…
math.MG2000
Lattice Substitution Systems and Model Sets
Jeong-Yup Lee, Robert V. Moody
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 s…