9 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Korea Institute for Advanced StudyKR2 papers
- University of TsukubaJP2 papers
- Friedrich-Alexander-Universität Erlangen-NürnbergDE1 paper
- Friedrich Schiller University JenaDE1 paper
- Hanyang UniversityKR1 paper
- IMAR - Institutul de Matematică „Simion Stoilow” al Academiei RomâneRO1 paper
- MacEwan UniversityCA1 paper
- Pohang University of Science and TechnologyKR1 paper
- Seoul Women's UniversityKR1 paper
- Shinshu UniversityJP1 paper
- University of the West IndiesTT1 paper
- University of VictoriaCA1 paper
7 papers
Spectrum of weighted adjacency operator on a non-uniform arithmetic quotient of
Soonki Hong, Sanghoon Kwon
We investigate the automorphic spectra of the natural weighted adjacency operator on the complex arising as a quotient of -type building.…
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…
Extended framework of Hamilton's principle applied to Duffing oscillation
Jinkyu Kim, Hyeonseok Lee, Jinwon Shin
The paper begins with a novel variational formulation of Duffing equation using the extended framework of Hamilton's principle (EHP). This formulation properly accounts for initial…
Gröbner-Shirshov bases for non-crystallographic Coxeter groups
Jeong-Yup Lee, Dong-il Lee
For the noncrystallographic Coxeter groups of type , we construct their Gröbner-Shirshov bases and the corresponding standard monomials.
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…
Overlap coincidence to strong coincidence in substitution tiling dynamics
Shigeki Akiyama, Jeong-Yup Lee
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 irredu…