具有累积缺陷的布尔 TQFT、sofic 系统和无限词的自动机

IF 1.3 3区 物理与天体物理 Q3 PHYSICS, MATHEMATICAL
Paul Gustafson, Mee Seong Im, Mikhail Khovanov
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引用次数: 0

摘要

任何有限态自动机都会产生具有缺陷和内端点的布尔一维 TQFT。本文将这种对应关系扩展到缺陷向内端点累积的布尔 TQFT,并将这种 TQFT 和拓扑理论与 sofic 系统和 \(\omega \)-自动机联系起来。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Boolean TQFTs with accumulating defects, sofic systems, and automata for infinite words

Boolean TQFTs with accumulating defects, sofic systems, and automata for infinite words

Any finite state automaton gives rise to a Boolean one-dimensional TQFT with defects and inner endpoints of cobordisms. This paper extends the correspondence to Boolean TQFTs where defects accumulate towards inner endpoints, relating such TQFTs and topological theories to sofic systems and \(\omega \)-automata.

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来源期刊
Letters in Mathematical Physics
Letters in Mathematical Physics 物理-物理:数学物理
CiteScore
2.40
自引率
8.30%
发文量
111
审稿时长
3 months
期刊介绍: The aim of Letters in Mathematical Physics is to attract the community''s attention on important and original developments in the area of mathematical physics and contemporary theoretical physics. The journal publishes letters and longer research articles, occasionally also articles containing topical reviews. We are committed to both fast publication and careful refereeing. In addition, the journal offers important contributions to modern mathematics in fields which have a potential physical application, and important developments in theoretical physics which have potential mathematical impact.
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