Height probabilities in the Abelian sandpile model on the generalized finite Bethe lattice

DOI10.1063/1.4817089zbMath1330.82038OpenAlexW2046523814MaRDI QIDQ5407664

Hai-Yan Chen, Fu Ji Zhang

Publication date: 7 April 2014

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

Full work available at URL: https://doi.org/10.1063/1.4817089

zbMATH Keywords

stationary distributionBethe latticeabelian sandpile modelsingle-site probabilities

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Dynamical aspects of cellular automata (37B15) Exactly solvable dynamic models in time-dependent statistical mechanics (82C23)

Related Items (1)

Spanning trees and recurrent configurations of a graph

Cites Work

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• Chip-firing games on directed graphs
• Chip-firing games on graphs
• Chip-firing and the critical group of a graph
• The sand-pile model and Tutte polynomials
• A \(c=-2\) boundary changing operator for the Abelian sandpile model
• Self-organized criticality
• Logarithmic two-point correlators in the Abelian sandpile model
• Chip-Firing and Rotor-Routing on Directed Graphs
• Self-organized critical state of sandpile automaton models

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