Research

 Published

• Monochromatic arithmetic progressions in the Fibonacci, Thue-Morse and Rudin-Shapiro words, G. Joshi, D. Rust

Theoretical Computer Science, 1050, 115391 (2025) - arXiv, DOI (open access online)

• Substitutions on compact alphabets, N. Mañibo, D. Rust, J. Walton

Journal of the London Mathematical Society, 111(3), e70123 (2024) - arXiv, DOI (open access online)

• A class of aperiodic honeycombs with tuneable mechanical properties, R. Moat, D. Clarke, F. Carter, D. Rust, I. Jowers

Applied Materials Today, 37  102127 (2024)  - DOI (open access online)

• Automorphism groups of random substitution subshifts, R. Fokkink, D. Rust, V. Salo

Indagationes Mathematicae, 34(5), 931 - 958 (2024) - arXiv, DOI (open access online)

• Queen reflections: A modification of Wythoff's Nim, R. Fokkink, D. Rust

International Journal of Game Theory, 53,  1099 - 1117 (2024) - arXiv, DOI (open access online)

• Spectral properties of substitutions on compact alphabets, N. Mañibo, D. Rust, J. Walton

Bulletin of the London Mathematical Society, 55, 2425 - 2445 (2023) - arXiv, DOI (open access online)

• Measure theoretic entropy of random substitution subshifts, P. Gohlke, A. Mitchell, D. Rust, T. Samuel

Annales Henri Poincaré, 24, 277 - 323 (2023) - arXiv, DOI (open access online)

• Topological mixing of random substitutions, E. D. P. Miro, D. Rust, L. Sadun, G. S. Tadeo

Israel Journal of Mathematics, 255, 123 - 153 (2022) - arXiv, DOI

• Zeckendorf representations and mixing properties of sequences, N. Manibo, E. D. P. Miro, D. Rust, G. S. Tadeo

Tsukuba Journal of Mathematics, 44(2), 251 - 269 (2020) - arXiv, DOI

• Periodic points in random substitution subshifts, D. Rust

Monatshefte für Mathematik, 193, 683 - 704 (2020) - arXiv, DOI (open access online)

• Shifts of finite type and random substitutions, P. Gohlke, D. Rust, T. Spindeler

Discrete and Continuous Dynamical Systems, 39(9), 5085 - 5103 (2019) - arXiv, DOI

• Dynamical systems arising from random substitutions, D. Rust, T. Spindeler

Indagationes Mathematicae, 29(4), 1131 - 1155 (2018) - arXiv, DOI (open access online)

• Beyond primitivity for one-dimensional substitution subshifts and tiling spaces, G. R. Maloney, D. Rust

Ergodic Theory and Dynamical Systems, 38(3), 1086 - 1117 (2018) - arXiv, DOI

• Computations for symbolic substitutions, S. Balchin, D. Rust

Journal of Integer Sequences, 20, Article 17.4.1 (2017) - arXiv, DOI (open access online)

• An uncountable set of tiling spaces with distinct cohomology, D. Rust

Topology and its Applications, 205, 58 - 81 (2016) - arXiv, DOI (open access online)

Book Chapters

• Corner the Empress, R. Fokkink, G. F. Ortega, D. Rust

In: Larsson U, ed. Games of No Chance 6, Mathematical Sciences Research Institute Publications. Cambridge University Press, 475 - 490 (2025) - arXiv, DOI

Preprints

• Rauzy fractals of random substitution, P. Gohlke, A. Mitchell, D. Rust, T. Samuel

Preprint (2024) - arXiv