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.

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

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。

求助全文

约1分钟内获得全文去求助

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.

期刊最新文献

Continued fractions and Hardy sums Infinite order linear difference equation satisfied by a refinement of Goss zeta function Representations of large Mackey Lie algebras and universal tensor categories On Ramanujan expansions and primes in arithmetic progressions A Fourier analysis of quadratic Riemann sums and Local integrals of \(\varvec{\zeta (s)}\)