16 citations · 26 across the 17 of their papers we have counts for
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math.DS2014★ 16 cited
Gaps problems and frequencies of patches in cut and project sets
Alan Haynes, Henna Koivusalo, Lorenzo Sadun +1
We establish a connection between gaps problems in Diophantine approximation and the frequency spectrum of patches in cut and project sets with special windows. Our theorems provid…
math.GN2014★ 2 cited
Pattern-Equivariant Homology of Finite Local Complexity Patterns
James J. Walton
This thesis establishes a generalised setting with which to unify the study of finite local complexity (FLC) patterns. The abstract notion of a "pattern" is introduced, which may b…
math.GN2014★ 2 cited
Pattern-Equivariant Homology
James J. Walton
Pattern-equivariant (PE) cohomology is a well-established tool with which to interpret the Čech cohomology groups of a tiling space in a highly geometric way. In this paper we cons…