Internal aggregation models with multiple sources and obstacle problems on Sierpiński gaskets

DOI10.4171/jfg/141zbMath1544.3102MaRDI QIDQ6561919

Nico Heizmann, Uta Renata Freiberg, Ecaterina Sava-Huss, Robin Kaiser

Publication date: 25 June 2024

Published in: Journal of Fractal Geometry (Search for Journal in Brave)

zbMATH Keywords

obstacle problemSierpiński gasketdivisible sandpileinternal DLArotor aggregation

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Probabilistic potential theory (60J45) Fractals (28A80) Free boundary problems for PDEs (35R35) Discrete potential theory (31C20) Potential theory on fractals and metric spaces (31E05)

Cites Work

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• A harmonic calculus on the Sierpinski spaces
• DIVISIBLE SANDPILE ON SIERPINSKI GASKET GRAPHS
• Spherical asymptotics for the rotor-router model in $\mathbb{Z}^d$

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