A Simple Proof of the Aztec Diamond Theorem

Author:

Eu Sen-Peng,Fu Tung-Shan

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 by means of Hankel determinants of the large and small Schröder numbers.

Publisher

The Electronic Journal of Combinatorics

Subject

Computational Theory and Mathematics,Geometry and Topology,Theoretical Computer Science,Applied Mathematics,Discrete Mathematics and Combinatorics

Cited by 21 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Skew Howe duality and limit shapes of Young diagrams;Journal of the London Mathematical Society;2023-09-09

2. Domino Tilings of Aztec Octagons;Graphs and Combinatorics;2023-04-06

3. Double tangent method for two-periodic Aztec diamonds;Journal of Statistical Mechanics: Theory and Experiment;2022-12-01

4. On Hankel determinants for Dyck paths with peaks avoiding multiple classes of heights;European Journal of Combinatorics;2022-03

5. Combinatorics of orthogonal polynomials of type $$R_I$$;The Ramanujan Journal;2021-10-26

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