Sandpile monomorphisms and limits

We introduce a tiling problem between bounded open convex polyforms $\hat{P}\subset \mathbb{R}^2$ with colored directed edges. If there exists a tiling of the polyform $\hat{P}_2$ by $\hat{P}_1$, we construct a monomorphism from the sandpile group $G_{\Gamma _1}=\mathbb{Z}^{\Gamma _1}/\Delta (\mathb...

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Bibliographic Details
Main Authors: Lang, Moritz, Shkolnikov, Mikhail
Format: Article
Language:English
Published: Académie des sciences 2022-04-01
Series:Comptes Rendus. Mathématique
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.291/