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Appears in collection : Complexity of Simple Dynamical Systems / Complexité des Systèmes Dynamiques Simples - Week 3

We say that a CA F stabilises an SFT X if (1) every element of X is a fixed point of F, and (2) starting from any finite perturbation of a configuration in X, the CA returns to X in finitely many steps. Does every SFT admit a stabilising CA? If so, what is the optimal stabilisation time for a given SFT? Do conjugate SFTs have the same optimal stabilisation times? What about stabilisation from random perturbations? I will present a joint work with Nazim Fatès and Irène Marcovici providing (partial) answers to these questions.

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Citation data

  • DOI 10.24350/CIRM.V.20138603
  • Cite this video Taati, Siamak (15/02/2024). Stabilising shifts of finite type with cellular automata. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20138603
  • URL https://dx.doi.org/10.24350/CIRM.V.20138603

Bibliography

  • FATÈS, Nazim, MARCOVICI, Irène, et TAATI, Siamak. Self-stabilisation of cellular automata on tilings. Fundamenta Informaticae, 2022, vol. 185. - https://doi.org/10.3233/FI-222103

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