Infinite volume limit for the stationary distribution of Abelian sandpile models

DOI10.1007/s00220-004-1080-0zbMath1085.82005OpenAlexW2110650571MaRDI QIDQ2577637

Antal A. Járai, Siva R. Athreya

Publication date: 5 January 2006

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

Full work available at URL: https://ir.cwi.nl/pub/4056

zbMATH Keywords

abelian sandpile models

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Stochastic methods applied to problems in equilibrium statistical mechanics (82B31)

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Cites Work

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• Choosing a spanning tree for the integer lattice uniformly
• The infinite volume limit of dissipative abelian sandpiles
• Uniform spanning forests
• The Abelian sandpile model on an infinite tree
• The upper critical dimension of the abelian sandpile model.
• Self-organized criticality
• Self-organized critical state of sandpile automaton models