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2022-03-07
摘要翻译:
研究了具有任意度分布的随机不相关网络中的有偏随机游动过程。在我们的模型中,偏置是由优先转移概率定义的,近年来,优先转移概率被广泛用于研究通信网络中不同路由协议的效率。我们导出了平稳占据概率和两节点间平均通过时间的精确表达式。还探讨了循环搜索对通过时间的影响。本文的结果为复杂网络中传输相关问题的理论处理提供了基础,包括分组生成速率临界值的定量估计。
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英文标题:
《Biased random walks on complex networks: the role of local navigation
  rules》
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作者:
Agata Fronczak, Piotr Fronczak
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最新提交年份:
2007
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分类信息:

一级分类:Physics        物理学
二级分类:Disordered Systems and Neural Networks        无序系统与神经网络
分类描述:Glasses and spin glasses; properties of random, aperiodic and quasiperiodic systems; transport in disordered media; localization; phenomena mediated by defects and disorder; neural networks
眼镜和旋转眼镜;随机、非周期和准周期系统的性质;无序介质中的传输;本地化;由缺陷和无序介导的现象;神经网络
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一级分类:Physics        物理学
二级分类:Statistical Mechanics        统计力学
分类描述:Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变,热力学,场论,非平衡现象,重整化群和标度,可积模型,湍流
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英文摘要:
  We study the biased random walk process in random uncorrelated networks with arbitrary degree distributions. In our model, the bias is defined by the preferential transition probability, which, in recent years, has been commonly used to study efficiency of different routing protocols in communication networks. We derive exact expressions for the stationary occupation probability, and for the mean transit time between two nodes. The effect of the cyclic search on transit times is also explored. Results presented in this paper give the basis for theoretical treatment of the transport-related problems on complex networks, including quantitative estimation of the critical value of the packet generation rate.
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PDF链接:
https://arxiv.org/pdf/709.2231
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