没有碎形尺度的网络的双碎性
Jun Yamamoto1,2, Kousuke Yakubo1
1Department of Applied Physics, Hokkaido University, Sapporo 060-8628, Japan.
Physical review. E
|September 19, 2023
概括
所有的无碎形尺度网络 (FSFNs) 都表现出双碎性,一种特定的多碎形属性. 这一发现统一了对各种网络结构及其动态的理解.
科学领域:
- 网络科学 网络科学
- 复杂的系统复杂的系统.
- 统计物理 统计物理
背景情况:
- 大规模的现实世界网络显示各种各样的拓.
- 许多无尺度和碎形网络都表现出结构性的多碎形性.
- 双碎性是一种特定的多碎性质,其特点是有两个局部碎形维度.
研究的目的:
- 通过分析和数值研究各种分形无尺度网络 (FSFNs) 的多分形属性.
- 为了证明FSFNs通常表现出双折性.
- 为了提供一个统一的视角,对网络动态受影响的bifractality.
主要方法:
- 对FSFNs中的多分体性的分析调查.
- 多种FSFN架构的数值模拟.
- 局部微分尺寸的表征 (d_f^min和d_f^max).
主要成果:
- 所有研究的FSFN,包括确定性,随机性,非等级性和现实世界类型,都表现出双分法特征.
- 提出了一个猜想,即所有FSFNs都是双分法.
- d_f^min描述了高度枢纽周围的子结构,而d_f^max描述了远离枢纽的局部折叠性.
结论:
- FSFNs普遍具有双分体的性质.
- 双分形属性对于理解这些网络上的时间依赖现象至关重要.
- 结果提供了一个统一的框架来分析FSFNs上的信息扩散和同步等动态.
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