Zobrazeno 1 - 10
of 95
pro vyhledávání: '"Moody, Robert V."'
Discretization of SU(2) and the Orthogonal Group Using Icosahedral Symmetries and the Golden Numbers
Autor:
Moody, Robert V., Morita, Jun
The vertices of the four dimensional $120$-cell form a non-crystallographic root system whose corresponding symmetry group is the Coxeter group $H_{4}$. There are two special coordinate representations of this root system in which they and their corr
Externí odkaz:
http://arxiv.org/abs/1705.04910
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
Publikováno v:
J. Stat. Phys. 159 (2015), 915-936
We discuss several examples of point processes (all taken from Hough, Krishnapur, Peres, Vir\'ag (2009)) for which the autocorrelation and diffraction measures can be calculated explicitly. These include certain classes of determinantal and permanent
Externí odkaz:
http://arxiv.org/abs/1405.4255
Autor:
Lee, Jeong-Yup, Moody, Robert V.
The Taylor-Socolar tilings are regular hexagonal tilings of the plane but are distinguished in being comprised of hexagons of two colors in an aperiodic way. We place the Taylor-Socolar tilings into an algebraic setting which allows one to see them d
Externí odkaz:
http://arxiv.org/abs/1207.6237
Publikováno v:
J. Fourier Anal. Appl. 20 (2014), no. 6, pp 1257-1290
Lie groups with two different root lengths allow two mixed sign homomorphisms on their corresponding Weyl groups, which in turn give rise to two families of hybrid Weyl group orbit functions and characters. In this paper we extend the ideas leading t
Externí odkaz:
http://arxiv.org/abs/1202.4415
Autor:
Lenz, Daniel, Moody, Robert V.
We consider the construction and classification of some new mathematical objects, called ergodic spatial stationary processes, on locally compact Abelian groups, which provide a natural and very general setting for studying diffraction and the famous
Externí odkaz:
http://arxiv.org/abs/1111.3617
Autor:
Patera, Jiri, Moody, Robert V.
The paper contains a generalization of known properties of Chebyshev polynomials of the second kind in one variable to polynomials of $n$ variables based on the root lattices of compact simple Lie groups $G$ of any type and of rank $n$. The results,
Externí odkaz:
http://arxiv.org/abs/1005.2773
Publikováno v:
Ann. Henri Poincare 3 (2002), no. 5, 1003--1018
We show that for multi-colored Delone point sets with finite local complexity and uniform cluster frequencies the notions of pure point diffraction and pure point dynamical spectrum are equivalent.
Comment: 16 pages
Comment: 16 pages
Externí odkaz:
http://arxiv.org/abs/0910.4809
Publikováno v:
Discrete Comput. Geom. 29 (2003), no. 4, 525--560
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 the opposite direction: what can we infer about a discrete point set or
Externí odkaz:
http://arxiv.org/abs/0910.4450
Autor:
Lee, Jeong-Yup, Moody, Robert V.
Publikováno v:
European J. Combin. 29 (2008), no. 8, 1919--1924
A linear deformation of a Meyer set $M$ in $\RR^d$ is the image of $M$ under a group homomorphism of the group $[M]$ generated by $M$ into $\RR^d$. We provide a necessary and sufficient condition for such a deformation to be a Meyer set. In the case
Externí odkaz:
http://arxiv.org/abs/0910.4446