147 citations · 270 across the 17 of their papers we have counts for
19 papers
Pure Discrete Spectrum and Regular Model Sets in Unimodular Substitution Tilings on R^d
Dong-il Lee, Shigeki Akiyama, Jeong-Yup Lee
We consider primitive substitution tilings on R^d whose expansion maps are unimodular. We assume that all the eigenvalues of the expansion maps are algebraic conjugates with the sa…
On arithmetic progressions in non-periodic self-affine tilings
Yasushi Nagai, Shigeki Akiyama, Jeong-Yup Lee
We study the repetition of patches in self-affine tilings in R^d. In particular, we study the existence and non-existence of arithmetic progressions. We first show that an arithmet…
Modulated crystals and almost periodic measures
Jeong-Yup Lee, Daniel Lenz, Christoph Richard +2
Modulated crystals and quasicrystals can simultaneously be described as modulated quasicrystals, a class of point sets introduced by de Bruijn in 1987. With appropriate modulation…
Gröbner-Shirshov bases for Temperley-Lieb algebras of the complex reflection group of type
Jeong-Yup Lee, Dong-il Lee, Sungsoon Kim
We construct a Gröbner-Shirshov basis of the Temperley-Lieb algebra of the complex reflection group , inducing the standard monomials expressed by the…
On substitution tilings and Delone sets without finite local complexity
Jeong-Yup Lee, Boris Solomyak
We consider substitution tilings and Delone sets without the assumption of finite local complexity (FLC). We first give a sufficient condition for tiling dynamical systems to be un…
On the Penrose and Taylor-Socolar Hexagonal Tilings
Jeong-Yup Lee, Robert V. Moody
We study the intimate relationship between the Penrose and the Taylor-Socolar tilings, within both the context of double hexagon tiles and the algebraic context of hierarchical inv…