A Simple Proof of the Aztec Diamond Theorem

Details A Simple Proof of the Aztec Diamond Theorem A Simple Proof of the Aztec Diamond Theorem

2004-12-02

arxiv.org/abs/math/0412041v1

Mathematics

Combinatorics

8 pages, 4 figures

Scientific paper

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 Schr\"oder
numbers.

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