List of Publications

Periodic points in random substitution subshifts
by D. Rust
Preprint (2018)
PDF (376k)

Shifts of finite type and random substitutions
by P. Gohlke, D. Rust, T. Spindeler
Preprint (2017)
arXiv, DOI

Dynamical systems arising from random substitutions
by D. Rust, T. Spindeler
Indagationes Mathematicae 29(4), 1131 - 1155 (2018)
arXiv, DOI

Computations for Symbolic Substitutions
by S. Balchin, D. Rust
Journal of Integer Sequences 20, Article 17.4.1 (2017)
arXiv, DOI (open access online)

Beyond primitivity for one-dimensional substitution subshifts and tiling spaces
by G. R. Maloney, D. Rust
Ergodic Theory and Dynamical Systems 38(3), 1086 - 1117 (2018)
arXiv, DOI

An uncountable set of tiling spaces with distinct cohomology
by D. Rust
Topology and its Applications 205, 58 - 81 (2016)
arXiv, DOI

PhD Thesis

Cohomology of Tiling Spaces: Beyond Primitive Substitutions
by D. Rust
PhD Thesis, University of Leicester, Leicester, 2016.
Leicester Research Archive, PDF (828k)

Slides

Ordered cohomology and co-dimension one cut-and-project sets (1.4M)

Dynamics of stochastic substitution subshifts (173k)

The strange topology of aperiodic tilings and their cohomology: Grout (1.8M)

Programs

Grout


Authors: S. Balchin, D. Rust
Grout is a free user-friendly program for Windows and Mac which can calculate various topological and combinatorial properties of primitive symbolic substitutions.
For an explanation of the computations that Grout performs, we have provided documentation on the arXiv.
You can download Grout from the homepage of Scott Balchin on the University of Leicester website or from Github.