微博传播波的函数解析实证研究

Empirical Study on Microblog Forwarding Wave Based on Functional Analysis

为定量地揭示微博传播行为内在的时间演化规律,将微博转发量随时间的变化定义为微博传播波.根据微博传播网络的结构,将微博传播波分解为由若干"大V"所引发的微博传播子波.通过实证,发现了微博传播子波所遵从的统一的指数衰减函数形式.最终实现了将微博传播行为重构为一系列指数衰减函数的叠加,并对该函数中各参数的意义及影响因素进行了初步的探讨.

For revealing microblog dissemination intrinsic mechanism quantitatively, Define the microblog transfer forward quantity changing with time as microblog forwarding wave. Based on the microblog transmission network structure, break it down into several microblog forwarding sub-wave. By the empirical study, it is founded that the microblog forwarding sub-waves obey the exponential decay function very well. Then, the microblog dissemination behavior is expressed and reconstructed with the sum of a series of exponential decay functions. The meaning of the parameters in the function has also been discussed preliminary.