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Symbolic dynamics and representations of matrices

By Emmanuel Jeandel

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

Deciding whether two one-dimensional subshifts are conjugate remains one of the most important question in symbolic dynamics. In this talk, we will highlight a new approach, using the diagrammatic calculus approach popular in category theory and especially in categorical quantum mechanics. We will explain how matrices (and subshifts of finite type) can be represented graphically and how this representation may help us find new conjugacy invariants.

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Citation data

  • DOI 10.24350/CIRM.V.20138303
  • Cite this video Jeandel, Emmanuel (15/02/2024). Symbolic dynamics and representations of matrices. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20138303
  • URL https://dx.doi.org/10.24350/CIRM.V.20138303


  • JEANDEL, Emmanuel. Strong shift equivalence as a category notion. arXiv preprint arXiv:2107.10734, 2021. - [http:// https://doi.org/10.48550/arXiv.2107.10734](http:// https://doi.org/10.48550/arXiv.2107.10734)

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