13 citations · 30 across the 4 of their papers we have counts for
4 papers
On long arithmetic progressions in binary Morse-like words
Ibai Aedo, Uwe Grimm, Yasushi Nagai +1
We present results on the existence of long arithmetic progressions in the Thue-Morse word and in a class of generalised Thue-Morse words. Our arguments are inspired by van der Wae…
Substitution-based structures with absolutely continuous spectrum
Lax Chan, Uwe Grimm, Ian Short
By generalising Rudin's construction of an aperiodic sequence, we derive new substitution-based structures which have purely absolutely continuous diffraction and mixed dynamical s…
The Bubble Algebra: Structure of a Two-Colour Temperley-Lieb Algebra
Uwe Grimm, Paul P. Martin
We define new diagram algebras providing a sequence of multiparameter generalisations of the Temperley-Lieb algebra, suitable for the modelling of dilute lattice systems of two-dim…
Some remarks on the visible points of a lattice
Michael Baake, Uwe Grimm, David Warrington
We comment on the set of visible points of a lattice and its Fourier transform, thus continuing and generalizing previous work by Schroeder and Mosseri. A closed formula in terms o…