中文摘要：

该文基于马氏链的概念和技巧，给出了BA无标度网络模型稳态度分布存在性的严格证明，并且从数学上重新推导了度分布的精确解析表达式．此处所用的方法具有一定的普适性，适用于更一般的无标度型复杂网络模型．

英文摘要：

Based on the concept and techniques of Markov chain, this letter provides a rigorous proof for the existence of the steady-state degree distribution of the scale-free network generated by the Barabgsi-Albert （BA） model, and mathematically re-derives the exact analytic formulas of the distribution. The approach developed here is quite general, applicable to many other scale-free types of complex networks.