Final distribution for Gani epidemic Markov processes

We consider the Kolmogorov equations for the transition probabilities of a three-dimensional Markov process of special form. For a stationary first equation, an exact solution is obtained using the Riemann method. We obtain asymptotics for the expectation and variance of the final distribution and establish a limit theorem.     

利用鞍点近似法计算串音对阵列波导光栅复用器性能的影响

基于光的波动性,考虑信号和串音偏振态,改进了鞍点近似法的数学模型,计算了阵列波导光栅复用器的误码率和功率代价,并与高斯近似法和实验结果进行了比较,显示出较高的计算精度。     

Equilibrium probability calculations for a discrete-time bulk queue model

Many problems in management science and telecommunications can be solved by the analysis of aD ^X/D^m/1 queueing model. In this paper, we use the zeros, both inside and outside the unit circle, of the denominator of the generating function of the model to obtain an explicit closed-form solution for the equilibrium probabilities of the number of customers in the system. The moments of the number of customers in the queue or in the system are also studied. When there are infinitely many zeros outside the unit circle, we propose an approximation method using polynomials. This method yields correct values for a finite number of the probabilities, the number depending on the degree of the polynomial approximation.     

外场作用下BaF分子发射光子累积量及等待时间分布的研究

利用产生函数方法对BaF分子在激光场与射频场作用下发射光子的累积量及等待时间分布进行了研究. 累积量κ₁ 和κ₂ 表明在固有偶极和射频场的作用下, 系统表现出外场辅助吸收的现象, 即当Δ₁=nω_rf时, 系统存在吸收峰. 二阶、三阶等待时间分布呈现出明显的振荡现象.