Dynamic dimensional reduction in the abelian sandpile

DOI10.1007/s00220-022-04322-zOpenAlexW4210456819MaRDI QIDQ2113498

Ahmed Bou-Rabee

Publication date: 14 March 2022

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.05968

Mathematics Subject Classification ID

Graph theory (05Cxx) Miscellaneous topics in partial differential equations (35Rxx) Time-dependent statistical mechanics (dynamic and nonequilibrium) (82Cxx)

Related Items (1)

A shape theorem for exploding sandpiles

Uses Software

• Julia
• CUDAnative.jl
• CUDA.jl

Cites Work

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• Apollonian structure in the abelian sandpile
• Growth rates and explosions in sandpiles
• Sandpile models
• Convergence of the abelian sandpile
• Convergence of the random abelian sandpile
• Stability of patterns in the abelian sandpile
• Discrete balayage and boundary sandpile
• The Apollonian structure of integer superharmonic matrices
• Julia: A Fresh Approach to Numerical Computing
• Chip-Firing and Rotor-Routing on Directed Graphs
• Self-organized critical state of sandpile automaton models
• Laplacian growth, sandpiles, and scaling limits

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