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James Walton

Unique ergodicity, and not, for primitive substitutions on compact alphabets containing isolated points
Recognisability for generalised hierarchical patterns and pattern spaces of finite local complexity
When is a cut and project set substitutional?
Substitutions on compact alphabets
Self-similarity and limit spaces of substitution tiling semigroups
A characterisation of linear repetitivity for cut and project sets with general polytopal windows
An aperiodic tile with edge-to-edge orientational matching rules
Spectral properties of substitutions on compact alphabets
Cut and project sets with polytopal window II: linear repetitivity
Aperiodicity, rotational tiling spaces and topological space groups
Cut and project sets with polytopal window I: Complexity
Translational and rotational aperiodic tiling groupoids
Deviations of ergodic averages for linearly repetitive cut and project sets
A characterization of linearly repetitive cut and project sets
Perfectly ordered quasicrystals and the Littlewood conjecture
Statistics of patterns in typical cut and project sets
Pattern-equivariant homology
Cohomology of rotational tiling spaces
Gaps problems and frequencies of patches in cut and project sets