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Latest staff publications > Displaying [1–15 of 15]

  • Gohlke, P., Mitchell, A., Rust, D. and Samuel, T., 2026, ‘Rauzy fractals of random substitutions’, Advances in Mathematics, 485, https://oro.open.ac.uk/107253/.
  • Joshi, G. and Rust, D., 2025, ‘Monochromatic arithmetic progressions in the Fibonacci, Thue-Morse, and Rudin-Shapiro words’, Theoretical Computer Science, 1050, https://oro.open.ac.uk/104556/.
  • Fokkink, R., Ortega, G. F. and Rust, D., 2025, ‘Corner the empress’, in Larsson, Urban ed. Games of No Chance 6. Mathematical Sciences Research Institute Publications, 71. Cambridge, UK: Cambridge University Press, pp. 475–490., https://oro.open.ac.uk/106912/.
  • Mañibo, N., Rust, D. and Walton, J. J., 2025, ‘Substitutions on compact alphabets’, Journal of the London Mathematical Society, 111(3), https://oro.open.ac.uk/102433/.
  • Fokkink, R. and Rust, D., 2024, ‘Queen reflections: a modification of Wythoff Nim’, International Journal of Game Theory, 53 pp. 1099–1117., https://oro.open.ac.uk/82486/.
  • Fokkink, R., Rust, D. and Salo, V., 2024, ‘Automorphism groups of random substitution subshifts’, Indagationes Mathematicae, 35(5), pp. 931–958., https://oro.open.ac.uk/92043/.
  • Mañibo, N., Rust, D. and Walton, J. J., 2023, ‘Spectral properties of substitutions on compact alphabets’, Bulletin of the London Mathematical Society, 55(5), pp. 2425–2445., https://oro.open.ac.uk/88589/.
  • Miro, E., Rust, D., Sadun, L. and Tadeo, G. S., 2023, ‘Topological mixing of random substitutions’, Israel Journal of Mathematics, 255 pp. 123–153., https://oro.open.ac.uk/75635/.
  • Gohlke, P., Mitchell, A., Rust, D. and Samuel, T., 2023, ‘Measure theoretic entropy of random substitution subshifts’, Annales Henri Poincaré, 24(1), pp. 277–323., https://oro.open.ac.uk/83699/.
  • Rust, D., 2020, ‘Periodic points in random substitution subshifts’, Monatshefte für Mathematik, 193 pp. 683–704., https://oro.open.ac.uk/71859/.
  • Gohlke, P., Rust, D. and Spindeler, T., 2019, ‘Shifts of finite type and random substitutions’, Discrete & Continuous Dynamical Systems - A, 39(9), pp. 5085–5103., https://oro.open.ac.uk/70948/.
  • Rust, D. and Spindeler, T., 2018, ‘Dynamical systems arising from random substitutions’, Indagationes Mathematicae, 29(4), pp. 1131–1155., https://oro.open.ac.uk/70946/.
  • Maloney, G. R. and Rust, D., 2018, ‘Beyond primitivity for one-dimensional substitution subshifts and tiling spaces’, Ergodic Theory and Dynamical Systems, 38(3), pp. 1086–1117., https://oro.open.ac.uk/70947/.
  • Balchin, S. and Rust, D., 2017, ‘Computations for Symbolic Substitutions’, Journal of Integer Sequences, 20, https://oro.open.ac.uk/70949/.
  • Rust, D., 2016, ‘An uncountable set of tiling spaces with distinct cohomology’, Topology and its Applications, 205 pp. 58–81., https://oro.open.ac.uk/70945/.