论文标题

网络合奏的局部熵和无XTentensentive

Local entropy and nonextensivity of networks ensembles

论文作者

Zhang, Qi, Li, Meizhu

论文摘要

网络合奏中可以预见不Xtentensentive,因为在复杂的网络系统中通常存在异质的交互,需要由网络集成来描述。但是,这种无文明的尚未得到文学证明。在这项工作中,理论上在二进制和加权网络集合中存在无XTensentivity在理论上是根据局部熵的非线性变化的发现,从理论上证明了第一次证明(无论是在微型典型和规范的集合中)。该证明还表明,无Xtentensentivity的存在是网络集成与统计物理学(ISING模型)中其他传统模型之间的主要区别。

Nonextensivity is foreseeable in network ensembles, as heterogeneous interactions generally exist in complex networked systems that need to be described by network ensembles. But this nonextensivity has not been literatured proved yet. In this work, the existence of nonextensivity in the binary and weighted network ensembles is theoretically proved for the first time (both in the microcanonical and canonical ensemble) based on the finding of the local entropy's nonlinear change when new nodes are added to the network ensembles. This proof also shows that the existence of nonextensivity is the main difference between the network ensembles and other traditional models in statistical physics (Ising model).

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