Asymptotic height distribution in high-dimensional sandpiles

Antal Jarai; Minwei Sun

doi:10.1007/s10959-019-00962-5

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 Z^d as d →∞, in terms of Poisson(1) probabilities. We provide error estimates.

Original language	English
Pages (from-to)	349–362
Journal	Journal of Theoretical Probability
Volume	34
Early online date	14 Nov 2019
DOIs	https://doi.org/10.1007/s10959-019-00962-5
Publication status	Published - 1 Mar 2021

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10.1007/s10959-019-00962-5Licence: CC BY

https://arxiv.org/abs/1911.01762

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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.",

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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.

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JO - Journal of Theoretical Probability

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Asymptotic height distribution in high-dimensional sandpiles

Abstract

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