A model for random chain complexes

IF 0.4 4区数学 Q4 MATHEMATICS

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Pub Date : 2021-11-09 DOI:10.1007/s12188-021-00248-w

Michael J. Catanzaro, Matthew J. Zabka

引用次数: 0

Abstract

We introduce a model for random chain complexes over a finite field. The randomness in our complex comes from choosing the entries in the matrices that represent the boundary maps uniformly over \(\mathbb {F}_q\), conditioned on ensuring that the composition of consecutive boundary maps is the zero map. We then investigate the combinatorial and homological properties of this random chain complex.

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随机链配合物的一个模型

给出了有限域上随机链络合物的一个模型。我们复杂中的随机性来自于选择在\(\mathbb {F}_q\)上均匀表示边界映射的矩阵中的条目，条件是确保连续边界映射的组合是零映射。然后我们研究了这个随机链复合体的组合和同调性质。

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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来源期刊

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 数学-数学

CiteScore

0.80

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The first issue of the "Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg" was published in the year 1921. This international mathematical journal has since then provided a forum for significant research contributions. The journal covers all central areas of pure mathematics, such as algebra, complex analysis and geometry, differential geometry and global analysis, graph theory and discrete mathematics, Lie theory, number theory, and algebraic topology.