关于具有WELLDOC性质的1-有界双理想的存在性

2015 17th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC) Pub Date : 2015-09-21 DOI:10.1109/SYNASC.2015.57

Raivis Bēts, J. Buls

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引用次数: 0

摘要

最近引入了一种称为均匀分布事件的组合条件，简称WELLDOC。Balkova等人在两篇论文中证明了WELLDOC性质适用于Sturmian词族，更一般地说，适用于Arnoux-Rauzy词。本文分析了有界双理想的WELLDOC性质。证明了有限字母上满足WELLDOC性质的1有界双理想的存在性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On the Existence of 1-Bounded Bi-ideals with the WELLDOC Property

A combinatorial condition called well distributedoccurrences, or WELLDOC for short, has been introducedrecently. The proofs that WELLDOC property holds for thefamily of Sturmian words, and more generally, for Arnoux-Rauzy words are given in two papers by Balkova et al. The WELLDOC property for bounded bi-ideals is analysed inthis paper. The existence of a 1-bounded bi-ideal over thefinite alphabet that satisfies the WELLDOC property has beenproved by the authors.

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2015 17th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (SYNASC)

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