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- W2988752889 abstract "Abstract We give an asymptotic formula for the single-site height distribution of Abelian sandpiles on $$mathbb {Z}^d$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:msup> <mml:mrow> <mml:mi>Z</mml:mi> </mml:mrow> <mml:mi>d</mml:mi> </mml:msup> </mml:math> as $$d rightarrow infty $$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:mi>d</mml:mi> <mml:mo>→</mml:mo> <mml:mi>∞</mml:mi> </mml:mrow> </mml:math> , in terms of $$mathsf {Poisson}(1)$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML> <mml:mrow> <mml:mi>Poisson</mml:mi> <mml:mo>(</mml:mo> <mml:mn>1</mml:mn> <mml:mo>)</mml:mo> </mml:mrow> </mml:math> probabilities. We provide error estimates." @default.
- W2988752889 created "2019-11-22" @default.
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- W2988752889 date "2019-11-14" @default.
- W2988752889 modified "2023-10-06" @default.
- W2988752889 title "Asymptotic Height Distribution in High-Dimensional Sandpiles" @default.
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- W2988752889 doi "https://doi.org/10.1007/s10959-019-00962-5" @default.
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