Asymptotic height distribution in high-dimensional sandpiles

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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
Publication statusAccepted/In press - 6 Nov 2019

Cite this

@article{e8a12c2faaf443c096bac0011d2da4f9,
title = "Asymptotic height distribution in high-dimensional sandpiles",
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.",
author = "Antal Jarai and Minwei Sun",
year = "2019",
month = "11",
day = "6",
language = "English",
journal = "Journal of Theoretical Probability",
issn = "0894-9840",
publisher = "Springer New York",

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T1 - Asymptotic height distribution in high-dimensional sandpiles

AU - Jarai, Antal

AU - Sun, Minwei

PY - 2019/11/6

Y1 - 2019/11/6

N2 - 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.

AB - 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.

M3 - Article

JO - Journal of Theoretical Probability

JF - Journal of Theoretical Probability

SN - 0894-9840

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