James Walton

Latest

• A characterisation of linear repetitivity for cut and project sets with general polytopal windows
• Self-similarity and limit spaces of substitution tiling semigroups
• Spectral properties of substitutions on compact alphabets
• Cut and project sets with polytopal window II: linear repetitivity
• Substitutions on compact alphabets
• An aperiodic tile with edge-to-edge orientational matching rules
• 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