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Geometry and Dynamics of the Besicovitch and Weyl Spaces

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Developments in Language Theory (DLT 2012)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7410))

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Abstract

We study the geometric properties of Cantor subshifts in the Besicovitch space, proving that sofic shifts occupy exactly the homotopy classes of simplicial complexes. In addition, we study continuous functions that locally look like cellular automata and present a new proof for the nonexistence of transitive cellular automata in the Besicovitch space.

Research supported by the Academy of Finland Grant 131558

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References

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Author information

Authors and Affiliations

  1. TUCS – Turku Centre for Computer Science, University of Turku, Finland

    Ville Salo

  2. University of Turku, Finland

    Ilkka Törmä

Authors
  1. Ville Salo
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  2. Ilkka Törmä
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Editor information

Editors and Affiliations

  1. Deptartment of Electrical Engineering, National Taiwan University, 106, Taipei, Taiwan

    Hsu-Chun Yen

  2. Department of Computer Science, University of California, 93106, Santa Barbara, CA, USA

    Oscar H. Ibarra

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Salo, V., Törmä, I. (2012). Geometry and Dynamics of the Besicovitch and Weyl Spaces. In: Yen, HC., Ibarra, O.H. (eds) Developments in Language Theory. DLT 2012. Lecture Notes in Computer Science, vol 7410. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31653-1_42

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  • DOI: https://doi.org/10.1007/978-3-642-31653-1_42

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-31652-4

  • Online ISBN: 978-3-642-31653-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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