A Simple Proof of the Aztec Diamond Theorem

2004/12/02 by Sen‐Peng Eu, Sen-Peng Eu, Eu, Sen-Peng +2
Mathematics · Physics and Astronomy · #05A15 #Advanced Combinatorial Mathematics #Advanced Mathematical Theories and Applications #Combinatorics (math.CO) #FOS: Mathematics #Mathematical Dynamics and Fractals #math.CO #msc:05A15

paper · pdf · doi:10.48550/arxiv.math/0412041

8 pages, 4 figures

arxiv created 2004/12/02 · openalex publication_date 2004/12/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Based on a bijection between domino tilings of an Aztec diamond and non-intersecting lattice paths, a simple proof of the Aztec diamond theorem is given in terms of Hankel determinants of the large and small Schröder numbers.

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