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arXiv · 2507.23681

Horofunctions of infinite Sierpinski polygon graphs

Daniele D'Angeli·Francesco Matucci·Davide Perego·Emanuele Rodaro
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Abstract

Generalizing works of D'Angeli and Donno, we describe, starting from an infinite sequence over $r$ letters with $r \neq 4i$ and $i \in \mathbb{N}$, a sequence of pointed finite graphs. We study the pointed Gromov-Hausdorff limit graphs giving a description of isomorphim classes in terms of dihedral groups and providing insights on the horofunction boundaries in terms of Busemann and non-Busemann points.

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Daniele D'Angeli, Francesco Matucci, Davide Perego, Emanuele Rodaro. 2025-07-31. Horofunctions of infinite Sierpinski polygon graphs. https://arxiv.org/abs/2507.23681

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