Zobrazeno 1 - 10
of 88
pro vyhledávání: '"Lee, Jeong Yup"'
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 same multiplicity. In this case, we can construct a cut-and-project sche
Externí odkaz:
http://arxiv.org/abs/2007.11242
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 arithmetic condition of the expansion map for a self-affine tiling implies the
Externí odkaz:
http://arxiv.org/abs/2007.06005
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 functions, modulated quasicrystals themselves constitute a substantial
Externí odkaz:
http://arxiv.org/abs/1907.07017
Autor:
Lee, Jeong-Yup, Lee, Dong-il
For the noncrystallographic Coxeter groups of type $H$, we construct their Gr\"obner-Shirshov bases and the corresponding standard monomials.
Comment: 14 pages, 2018 KMS Spring annual meeting
Comment: 14 pages, 2018 KMS Spring annual meeting
Externí odkaz:
http://arxiv.org/abs/1809.08419
We construct a Gr\"obner-Shirshov basis of the Temperley-Lieb algebra $\mathfrak{T}(d,n)$ of the complex reflection group $G(d,1,n)$, inducing the standard monomials expressed by the generators $\{E_i\}$ of $\mathfrak{T}(d,n)$. This result generalize
Externí odkaz:
http://arxiv.org/abs/1808.06523
Autor:
Lee, Jeong-Yup, Solomyak, Boris
Publikováno v:
DCDS-A, June 2019, 39(6): 3149-3177
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 uniquely ergodic and a formula for the measure of cylinder sets. We then
Externí odkaz:
http://arxiv.org/abs/1804.10235
Akademický článek
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Autor:
Lee, Jeong-Yup, Moody, Robert V.
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 inverse sequences of triangular lattices. This unified approach produces
Externí odkaz:
http://arxiv.org/abs/1701.04314
Autor:
Akiyama, Shigeki, Lee, Jeong-Yup
Publikováno v:
European Journal of Combinatorics 39C (2014), pp. 233-243
Overlap coincidence is an equivalent criterion to pure discrete spectrum of the dynamics of self affine tilings. In the case of one dimension, strong coincidence on m letter irreducible substitution has been introduced in Dekking (1978) and Arnoux an
Externí odkaz:
http://arxiv.org/abs/1403.0377
By the algorithm implemented in the paper [2] by Akiyama-Lee and some of its predecessors, we have examined the pure discreteness of the spectrum for all irreducible Pisot substitutions of trace less than or equal to $2$, and some cases of planar til
Externí odkaz:
http://arxiv.org/abs/1403.0362