Asymptotic height distribution in high-dimensional sandpiles

Research output: Contribution to journalArticle


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
Number of pages12
JournalJournal of Theoretical Probability
Publication statusAccepted/In press - 6 Nov 2019

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