148 citations · 677 across the 41 of their papers we have counts for
4 papers · 1 filter
Meyer sets, topological eigenvalues, and Cantor fiber bundles
Johannes Kellendonk, Lorenzo Sadun
We introduce two new characterizations of Meyer sets. A repetitive Delone set in with finite local complexity is topologically conjugate to a Meyer set if and only if it has…
Spectral triples from stationary Bratteli diagrams
Johannes Kellendonk, Jean Savinien
We construct spectral triples for path spaces of stationary Bratteli diagrams and study their associated mathematical objects, in particular their zeta function, their heat kernel…
Maximal equicontinuous factors and cohomology for tiling spaces
Marcy Barge, Johannes Kellendonk, Scott Schmieding
We study the homomorphism induced on cohomology by the maximal equicontinuous factor map of a tiling space. We will see that this map is injective in degree one and has torsion fre…
Integral cohomology of rational projection method patterns
Franz Gaehler, John Hunton, Johannes Kellendonk
We study the cohomology and hence -theory of the aperiodic tilings formed by the so called 'cut and project' method, i.e., patterns in dimensional Euclidean space which aris…