爆发树结构和更高阶的时间相关性
Tibebe Birhanu1, Hang-Hyun Jo1
1Catholic University of Korea, Department of Physics, The , Bucheon 14662, Republic of Korea.
Physical review. E
|February 20, 2025
概括
爆发树分解方法揭示了事件序列中的复杂时间相关性. 不同的爆发合并内核显著影响爆发大小分布和自相关函数,为时间序列动态提供了洞察力.
科学领域:
- 复杂的系统复杂的系统.
- 数据分析 数据分析
- 统计物理 统计物理
背景情况:
- 时间相关性对于各种科学领域的精确时间序列建模至关重要.
- 爆发树分解方法揭示了事件序列中的等级结构,揭示了超出简单间事件时间的相关性.
研究的目的:
- 为了研究不同爆发合并核对更高阶时间相关性的影响.
- 分析内核对爆发大小分布,内存系数和自相关函数的影响.
主要方法:
- 利用爆发树分解方法来分析事件序列.
- 采用了各种突发合并内核,包括常数,总和,乘积,对角和经验启发的内核.
- 分析了爆发大小分布,内存系数和自相关函数.
主要成果:
- 促进优惠合并的内核导致重尾爆发大小分布.
- 各种融合核导致爆发大小之间的正相关性.
- 自相关函数衰变取决于内核和间事件时间分布的功率定律指数.
结论:
- 突发合并核在时间序列内塑造更高阶时间相关性方面发挥着至关重要的作用.
- 对于某些内核,通过与凝结过程进行类比,为爆裂大小分布得出分析解决方案.
- 研究结果提供了对复杂系统中时间相关性控制的潜在机制的见解.
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