论文标题
圆柱体上的Abelian Sandpiles
Abelian Sandpiles on Cylinders
论文作者
论文摘要
我们在这里研究Abelian Sandpile模型的一种变体，其中操场是宽度$ W $和圆周c的圆柱体。当C << w时，我们描述了一种未在其他几何形状中观察到的现象：雪崩尺寸的概率分布具有梯子结构，第一步由大小到W C/2的雪崩组成，其本质上是策略性的，除了大约10C的阶小尾巴外，大约10C的小指数。我们解释了这一现象并描述后续步骤。
We study here a variant of the Abelian Sandpile Model, where the playground is a cylinder of width $w$ and of circumference c. When c << w, we describe a phenomenon which has not been observed in other geometries: the probability distribution of avalanche sizes has a ladder structure, with the first step consisting of avalanches of size up to w c/2 that are essentially equiprobable, except for a small exponential tail of order about 10c. We explain this phenomenon and describe subsequent steps.
