阿兹台克钻石耦合平顶的洗牌算法

IF 1.4 3区物理与天体物理 Q2 PHYSICS, MATHEMATICAL

Annales Henri Poincaré Pub Date : 2024-01-27 DOI:10.1007/s00023-023-01407-w

David Keating, Matthew Nicoletti

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引用次数: 0

摘要

在这篇文章中，我们定义了阿兹特克钻石图层的多米诺洗牌算法的一般化，使之适用于 S. Corteel、A. Gitlin 和第一作者最近提出的交互 k 图层。我们用彩色粒子系统的动力学和多米诺骨牌本身的运算来描述该算法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Shuffling Algorithm for Coupled Tilings of the Aztec Diamond

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Shuffling Algorithm for Coupled Tilings of the Aztec Diamond

In this article, we define a generalization of the domino shuffling algorithm for tilings of the Aztec diamond to the interacting k-tilings recently introduced by S. Corteel, A. Gitlin, and the first author. We describe the algorithm both in terms of dynamics on a system of colored particles and as operations on the dominos themselves.

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来源期刊

Annales Henri Poincaré 物理-物理：粒子与场物理

CiteScore

3.00

自引率

6.70%

发文量

108

审稿时长

6-12 weeks

期刊介绍： The two journals Annales de l''Institut Henri Poincaré, physique théorique and Helvetica Physical Acta merged into a single new journal under the name Annales Henri Poincaré - A Journal of Theoretical and Mathematical Physics edited jointly by the Institut Henri Poincaré and by the Swiss Physical Society. The goal of the journal is to serve the international scientific community in theoretical and mathematical physics by collecting and publishing original research papers meeting the highest professional standards in the field. The emphasis will be on analytical theoretical and mathematical physics in a broad sense.