研究了一类树状规则分形上带有单个陷阱点的随机游走问题，其中陷阱固定在中心节点上。得到了这类分形上陷阱问题对应的随机主方程的全部特征值及其重数，其中特征值通过一个显示的递推关系式给出。此外，给出了最小特征值的近似解，并指出它的倒数与平均陷阱时间近似相等。所提出的计算网络特征值及其重数的方法还适用于其它树状规则分形。

相关结果已经被《EPL (Europhysics Letters)》正式录用，拟于近期发表。

国际专家的评论：I read with much interest the submitted manuscript, whose authors succeeded in determining exactly the spectra of an important family of tree-like fractals. This is a very significant achievement........ The work is written in a very clear and concise manner and should be readily understood by specialists and non-specialists alike.

I hence recommend publication of the manuscript in EPL.

文章发表的PDF版本：

Complete spectrum of stochastic master equation for random walks on treelike fractals.pdf