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Asymptotic height distribution in high-dimensional sandpiles

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 نشر من قبل Minwei Sun
 تاريخ النشر 2019
  مجال البحث
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We give an asymptotic formula for the single site height distribution of Abelian sandpiles on $mathbb{Z}^d$ as $d to infty$, in terms of $mathsf{Poisson}(1)$ probabilities. We provide error estimates.


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