All Outputs (2)

Self-similarity and limit spaces of substitution tiling semigroups (2024)
Journal Article
Walton, J. J., & Whittaker, M. F. (in press). Self-similarity and limit spaces of substitution tiling semigroups. Groups, Geometry, and Dynamics,

We show that Kellendonk's tiling semigroup of an FLC substitution tiling is self-similar, in the sense of Bartholdi, Grigorchuk and Nekrashevych. We extend the notion of the limit space of a self-similar group to the setting of self-similar semigroup... Read More about Self-similarity and limit spaces of substitution tiling semigroups.

A characterisation of linear repetitivity for cut and project sets with general polytopal windows (2024)
Journal Article
Walton, J. J. (in press). A characterisation of linear repetitivity for cut and project sets with general polytopal windows. Indagationes Mathematicae, https://doi.org/10.1016/j.indag.2024.03.003

The cut and project method is a central construction in the theory of Aperiodic Order for generating quasicrystals with pure point diffraction. Linear repetitivity (LR) is a form of ideal regularity of aperiodic patterns. Recently, Koivusalo and the... Read More about A characterisation of linear repetitivity for cut and project sets with general polytopal windows.