论文标题
阿贝尔沙珀的动态尺寸降低
Dynamic dimensional reduction in the Abelian sandpile
论文作者
论文摘要
我们证明了HyperCube上Fey，Levine和Peres（2010）的尺寸还原猜想。证据表明，在平行的倒出过程中，阿贝尔沙珀的尺寸降低，对称性和规律性持续存在。这一更强的结果验证了Liu，Kaplan和Gray（1990）首先记录的经验观察。
We prove the dimensional reduction conjecture of Fey, Levine, and Peres (2010) on the hypercube. The proof shows that dimensional reduction, symmetry, and regularity of the Abelian sandpile persist during the parallel toppling process. This stronger result verifies empirical observations first documented by Liu, Kaplan, and Gray (1990).
