Asymptotic height distribution in high-dimensional sandpiles

Research output: Contribution to journalArticle

Abstract

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
Early online date14 Nov 2019
DOIs
Publication statusE-pub ahead of print - 14 Nov 2019

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