| 来源类型 | Article |
| 规范类型 | 其他 |
| DOI | 10.1038/s41598-017-09836-4 |
| Sample space reducing cascading processes produce the full spectrum of scaling exponents. | |
| Corominas-Murtra B; Hanel R; Thurner S | |
| 发表日期 | 2017 |
| 出处 | Scientific Reports 7 (1): e11223 |
| 出版年 | 2017 |
| 语种 | 英语 |
| 摘要 | Sample Space Reducing (SSR) processes are simple stochastic processes that offer a new route to understand scaling in path-dependent processes. Here we define a cascading process that generalises the recently defined SSR processes and is able to produce power laws with arbitrary exponents. We demonstrate analytically that the frequency distributions of states are power laws with exponents that coincide with the multiplication parameter of the cascading process. In addition, we show that imposing energy conservation in SSR cascades allows us to recover Fermi's classic result on the energy spectrum of cosmic rays, with the universal exponent -2, which is independent of the multiplication parameter of the cascade. Applications of the proposed process include fragmentation processes or directed cascading diffusion on networks, such as rumour or epidemic spreading. |
| 主题 | Advanced Systems Analysis (ASA) |
| URL | http://pure.iiasa.ac.at/id/eprint/14821/ |
| 来源智库 | International Institute for Applied Systems Analysis (Austria) |
| 引用统计 | |
| 资源类型 | 智库出版物 |
| 条目标识符 | http://119.78.100.153/handle/2XGU8XDN/131028 |
| 推荐引用方式 GB/T 7714 | Corominas-Murtra B,Hanel R,Thurner S. Sample space reducing cascading processes produce the full spectrum of scaling exponents.. 2017. |
| 条目包含的文件 | ||||||
| 文件名称/大小 | 资源类型 | 版本类型 | 开放类型 | 使用许可 | ||
| s41598-017-09836-4.p（5168KB） | 智库出版物 | 限制开放 | CC BY-NC-SA | 浏览 | ||
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