Abelian sandpiles: an overview and results on certain transitive graphs

zbMath1266.60158arXiv1106.5358MaRDI QIDQ2906831

Antal A. Járai

Publication date: 5 September 2012

Full work available at URL: https://arxiv.org/abs/1106.5358

zbMATH Keywords

bounded harmonic functiontransitive graphburning algorithmabelian sandpilesuniform spanning forestinfinite volume limit

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (5)

Non-criticality criteria for Abelian sandpile models with sources and sinks ⋮ Essential enhancements in abelian networks: continuity and uniform strict monotonicity ⋮ Minimal configurations and sandpile measures ⋮ Sandpile models ⋮ Approaching criticality via the zero dissipation limit in the abelian avalanche model

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