English

A Simple Proof of the Aztec Diamond Theorem

Combinatorics 2007-05-23 v1

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 Schr\"oder numbers.

Cite

@article{arxiv.math/0412041,
  title  = {A Simple Proof of the Aztec Diamond Theorem},
  author = {Sen-Peng Eu and Tung-Shan Fu},
  journal= {arXiv preprint arXiv:math/0412041},
  year   = {2007}
}

Comments

8 pages, 4 figures

R2 v1 2026-07-22T17:13:03.409Z