Papers

Substitutions on compact alphabets

Neil Mañibo, Dan Rust, James Walton

DOI arXiv

Self-similarity and limit spaces of substitution tiling semigroups

James Walton, Michael Whittaker

arXiv

A characterisation of linear repetitivity for cut and project sets with general polytopal windows

James Walton

DOI arXiv

Spectral properties of substitutions on compact alphabets

Neil Mañibo, Dan Rust, James Walton

DOI arXiv

Cut and project sets with polytopal window II: linear repetitivity

Henna Koivusalo, James Walton

DOI arXiv

An aperiodic tile with edge-to-edge orientational matching rules

James Walton, Michael Whittaker

DOI arXiv

Aperiodicity, rotational tiling spaces and topological space groups

John Hunton, James Walton

DOI arXiv

Cut and project sets with polytopal window I: Complexity

Henna Koivusalo, James Walton

DOI arXiv

Translational and rotational aperiodic tiling groupoids

John R. Hunton, James Walton

Deviations of ergodic averages for linearly repetitive cut and project sets

Alan Haynes, Antoine Julien, Henna Koivusalo, James Walton

Statistics of patterns in typical cut and project sets

Alan Haynes, Antoine Julien, Henna Koivusalo, James Walton

DOI arXiv

Perfectly ordered quasicrystals and the Littlewood conjecture

Alan Haynes, Henna Koivusalo, James Walton

DOI arXiv

A characterization of linearly repetitive cut and project sets

Alan Haynes, Henna Koivusalo, James Walton

DOI arXiv

Pattern-equivariant homology

James Walton

DOI arXiv

Cohomology of rotational tiling spaces

James Walton

DOI arXiv

Gaps problems and frequencies of patches in cut and project sets

Alan Haynes, Henna Koivusalo, James Walton, Lorenzo Sadun

DOI arXiv