38 citations · 391 across the 29 of their papers we have counts for
6 papers · 1 filter
Three variations on a theme by Fibonacci
Michael Baake, Natalie Priebe Frank, Uwe Grimm
Several variants of the classic Fibonacci inflation tiling are considered in an illustrative fashion, in one and in two dimensions, with an eye on changes or robustness of diffract…
Pure point measures with sparse support and sparse Fourier--Bohr support
Michael Baake, Nicolae Strungaru, Venta Terauds
Fourier-transformable Radon measures are called doubly sparse when both the measure and its transform are pure point measures with sparse support. Their structure is reasonably wel…
Fourier transform of Rauzy fractals and point spectrum of 1D Pisot inflation tilings
Michael Baake, Uwe Grimm
Primitive inflation tilings of the real line with finitely many tiles of natural length and a Pisot--Vijayaraghavan unit as inflation factor are considered. We present an approach…
Renormalisation of pair correlations and their Fourier transforms for primitive block substitutions
Michael Baake, Uwe Grimm
For point sets and tilings that can be constructed with the projection method, one has a good understanding of the correlation structure, and also of the corresponding spectra, bot…
Diffraction of a model set with complex windows
Michael Baake, Uwe Grimm
The well-known plastic number substitution gives rise to a ternary inflation tiling of the real line whose inflation factor is the smallest Pisot-Vijayaraghavan number. The corresp…
Notes on Markov embedding
Michael Baake, Jeremy Sumner
The representation problem of finite-dimensional Markov matrices in Markov semigroups is revisited, with emphasis on concrete criteria for matrix subclasses of theoretical or pract…