随机有界一维网络的连接概率

Q2 Mathematics

Annali dell''Universita di Ferrara Pub Date : 2024-03-25 DOI:10.1007/s11565-024-00508-6

Lorenzo Federico

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引用次数: 0

摘要

我们考虑了一类循环上的有界范围一维网络模型，并证明与从不包含无限分量的相应无限体积模型不同，它们实际上表现出了连通性的相变。我们进一步证明，根据边概率的具体选择，连通性的最后障碍可以是孤立顶点的存在，也可以是循环被分割成两个空间上分离的部分。

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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Connecting probability for random bounded-range one-dimensional network

We consider a class of bounded-range 1D network models on a cycle and prove that, unlike the corresponding infinite-volume models, which never contain infinite components, they actually exhibit a phase transition for connectivity. We further show that depending on the specific choice of the edge probabilities, the last obstruction to connectivity can either be the existence of isolated vertices or the split of the cycle into two spatially separated components.

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来源期刊

Annali dell''Universita di Ferrara Mathematics-Mathematics (all)

CiteScore

1.70

自引率

0.00%

发文量

期刊介绍： Annali dell''Università di Ferrara is a general mathematical journal publishing high quality papers in all aspects of pure and applied mathematics. After a quick preliminary examination, potentially acceptable contributions will be judged by appropriate international referees. Original research papers are preferred, but well-written surveys on important subjects are also welcome.