Substitution-dynamics and invariant measures for infinite alphabet-path space

IF 1 3区数学 Q3 MATHEMATICS, APPLIED

Advances in Applied Mathematics Pub Date : 2024-03-12 DOI:10.1016/j.aam.2024.102687

Sergey Bezuglyi , Palle E.T. Jorgensen , Shrey Sanadhya

引用次数: 0

Abstract

We study substitutions on a countably infinite alphabet (without compactification) as Borel dynamical systems. We construct stationary and non-stationary generalized Bratteli-Vershik models for a class of such substitutions, known as left determined. In this setting of Borel dynamics, using a stationary generalized Bratteli-Vershik model, we provide a new and canonical construction of shift-invariant measures (both finite and infinite) for the associated class of subshifts.

查看原文本刊更多论文

无限字母路径空间的置换动力学和不变度量

我们将可数无限字母表上的替换（无压缩）作为伯尔动力系统来研究。我们为一类被称为左确定的替换构建了静态和非静态广义布拉泰利-韦希克模型。在这种博尔动力学环境下，利用静态广义布拉泰利-韦希克模型，我们为相关的子移动类提供了一种新的移动不变度量（有限和无限）的典型构造。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Advances in Applied Mathematics 数学-应用数学

CiteScore

2.00

自引率

9.10%

发文量

审稿时长

85 days

期刊介绍： Interdisciplinary in its coverage, Advances in Applied Mathematics is dedicated to the publication of original and survey articles on rigorous methods and results in applied mathematics. The journal features articles on discrete mathematics, discrete probability theory, theoretical statistics, mathematical biology and bioinformatics, applied commutative algebra and algebraic geometry, convexity theory, experimental mathematics, theoretical computer science, and other areas. Emphasizing papers that represent a substantial mathematical advance in their field, the journal is an excellent source of current information for mathematicians, computer scientists, applied mathematicians, physicists, statisticians, and biologists. Over the past ten years, Advances in Applied Mathematics has published research papers written by many of the foremost mathematicians of our time.