Local Structure of Karyon Tilings

The paper considers karyon tilings T of the torus T 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 fraction...

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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2022-06, Vol.264 (2), p.122-149
Main Author: Zhuravlev, V. G.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
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Summary:The paper considers karyon tilings T of the torus T 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.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-022-05984-9