Sandpiles on the heptagonal tiling

DOI10.1142/S0218216516420050zbMath1369.52024arXiv1509.00654OpenAlexW2963195417MaRDI QIDQ2835371

Mikhail Shkolnikov, Nikita Kalinin

Publication date: 2 December 2016

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.00654

zbMATH Keywords

diffusiongraphself-organized criticalityabelian sandpile modelhyperbolic tilingtoppling operator

Mathematics Subject Classification ID

Diffusion processes (60J60) Tilings in (2) dimensions (aspects of discrete geometry) (52C20) Flows in graphs (05C21)

Cites Work

• Tropical curves in sandpiles
• On the identity of the sandpile group
• Deterministic Abelian Sandpile and Square-Triangle Tilings
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