Geodesic
Local structure of the karyon tilings
Zapiski Nauchnykh Seminarov POMI, Algebra and number theory. Part 4, Tome 502 (2021), pp. 32-73

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Karyon tilings $\mathcal{T}$ of the torus $\mathbb{T}^d$ of arbitrary dimension $d$ are considered. The prototype of such tilings is one-dimensional Fibonacci tilings and their two-dimensional analog the Rauzy tiling. Tilings $\mathcal{T}$ are important for applications to multidimensional continued fractions. In this article, we examine the local properties of karyon tilings $\mathcal{T}$. 
@article{ZNSL_2021_502_a1,
     author = {V. G. Zhuravlev},
     title = {Local structure of the karyon tilings},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {32--73},
     publisher = {mathdoc},
     volume = {502},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2021_502_a1/}
}
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V. G. Zhuravlev. Local structure of the karyon tilings. Zapiski Nauchnykh Seminarov POMI, Algebra and number theory. Part 4, Tome 502 (2021), pp. 32-73. http://geodesic.mathdoc.fr/item/ZNSL_2021_502_a1/