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Local Structure of Karyon Tilings

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The paper considers karyon tilings T of the torus đť•‹d of an arbitrary dimension d. The prototypes of such tilings are the one-dimensional Fibonacci tilings and their two-dimensional counterpart, the Rauzy tilings. Karyon tilings T are important for applications to multidimensional continued fractions. In this paper, local properties of karyon tilings T are considered.

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Authors and Affiliations

  1. Vladimir State University, Vladimir, Russia

    V. G. Zhuravlev

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  1. V. G. Zhuravlev
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Correspondence to V. G. Zhuravlev.

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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 502, 2021, pp. 32–73.

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Zhuravlev, V.G. Local Structure of Karyon Tilings. J Math Sci 264, 122–149 (2022). https://doi.org/10.1007/s10958-022-05984-9

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  • DOI: https://doi.org/10.1007/s10958-022-05984-9

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