随机变量的量子分解和增长图的渐近谱分布

Quantum decomposition of random variables and asymptotic spectral distribution of growing graphs

本文给出了一般Bernoulli随机变量X的量子分解,三点路图m步返回路线条数的积分表示以及两类增长图-圈与完全二分图的渐近谱分布.这使得在量子概率框架下研究经典随机变量或经典概率分布成为可能,也在一定程度上展示了图的谱分析中的量子概率技巧.

We give the quantum decomposition of general Bernoulli random variable X,the integral representation of the number of return routes in m steps of a three point path graph,and the asymptotic spectral distribution of two kinds of growing graphs-cycle graph and complete bipartite graph.This makes it possible for us to study a classical variable or a probability distribution within the framework of quantum probability.To some extent,this also shows that the quantum probabilistic techniques in the spectral analysis of graphs.