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The Abelian sandpile model on a random binary tree

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Publication:438758
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DOI10.1007/s10955-012-0498-6zbMath1269.82024arXiv1202.5131OpenAlexW3102022721MaRDI QIDQ438758

Frank Redig, Wioletta M. Ruszel, Ellen Saada

Publication date: 31 July 2012

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

Full work available at URL: https://arxiv.org/abs/1202.5131


zbMATH Keywords

phase transitionself-organized criticalityrandom binary treessandpile models


Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) Critical phenomena in equilibrium statistical mechanics (82B27)


Related Items (2)

Non-criticality criteria for Abelian sandpile models with sources and sinks ⋮ Mean-field avalanche size exponent for sandpiles on Galton-Watson trees



Cites Work

  • The range of random walk on trees and related trapping problem
  • The Abelian sandpile model on an infinite tree
  • The abelian sandpile model on randomly rooted graphs and self-similar groups
  • Course 14 Mathematical aspects of the Abelian Sandpile model
  • Self-organized critical state of sandpile automaton models
  • Real Analysis and Probability
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