147 citations · 675 across the 30 of their papers we have counts for
31 papers
Discretization of SU(2) and the Orthogonal Group Using Icosahedral Symmetries and the Golden Numbers
Robert V. Moody, Jun Morita
The vertices of the four dimensional -cell form a non-crystallographic root system whose corresponding symmetry group is the Coxeter group . There are two special coord…
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…
Diffraction Theory of Point Processes: Systems with Clumping and Repulsion
Michael Baake, Holger Kösters, Robert V. Moody
We discuss several examples of point processes (all taken from Hough, Krishnapur, Peres, Virág (2009)) for which the autocorrelation and diffraction measures can be calculated expl…
Taylor-Socolar hexagonal tilings as model sets
Jeong-Yup Lee, Robert V. Moody
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-So…
Gaussian cubature arising from hybrid characters of simple Lie groups
Robert V. Moody, Lenka Motlochova, Jiri Patera
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…
Stationary processes with pure point diffraction
Daniel Lenz, Robert V. Moody
We consider the construction and classification of some new mathematical objects, called ergodic spatial stationary processes, on locally compact Abelian groups, which provide a na…