动态非保守生灭Q矩阵的极限谱密度

Limiting spectral density of a dynamic nonconservative birth-death Q matrix

本文不仅证明N×N的动态非保守生灭Q矩阵QN标准化QN=-N-αQN(α0)以后,当N→∞时,极限谱分布的存在唯一性,还给出极限谱密度的积分表达式;在一些特殊情形,还可以得到极限谱密度的显式表示.

In this paper, we not only prove the existence and uniqueness of the limiting spectral distribution of a normalized dynamic nonconservative birth-death Q matrix, but also give an integral representation of the limiting spectral density function.