Asymptotic height distribution in high-dimensional sandpiles

2019/11/05 by Antal A. Járai, Járai, Antal A, Minwei Sun +1
Mathematics · Physics and Astronomy · #60K35 (primary) #82C20 (secondary) #FOS: Mathematics #Mathematical Dynamics and Fractals #Probability (math.PR) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.1911.01762

openalex publication_date 2019/11/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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