Asymptotic height distribution in high-dimensional sandpiles

Antal Jarai, Minwei Sun

Research output: Contribution to journalArticlepeer-review


We give an asymptotic formula for the single site height distribution of Abelian sandpiles on Zd as d →∞, in terms of Poisson(1) probabilities. We provide error estimates.
Original languageEnglish
Pages (from-to)349–362
JournalJournal of Theoretical Probability
Early online date14 Nov 2019
Publication statusPublished - 1 Mar 2021


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