Dynamic Dimensional Reduction in the Abelian Sandpile
نویسندگان
چکیده
We prove the dimensional reduction conjecture of Fey, Levine, and Peres (2010) on hypercube. The proof shows that reduction, symmetry, regularity Abelian sandpile persist during parallel toppling process. This stronger result verifies empirical observations first documented by Liu, Kaplan, Gray (1990).
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2022
ISSN: ['0010-3616', '1432-0916']
DOI: https://doi.org/10.1007/s00220-022-04322-z