Generalized Supersymmetric Perturbation Theory

Using the basic ingredient of supersymmetry, a simple alternative approach is developed to perturbation theory in one-dimensional non-relativistic quantum mechanics. The formulae for the energy shifts and wavefunctions do not involve tedious calculations which appear in the available perturbation theories. The model applicable in the same form to both the ground state and excited bound states, unlike the recently introduced supersymmetric perturbation technique which, together with other approaches based on logarithmic perturbation theory, are involved within the more general framework of the present formalism.     

Relative Scaling Exponents and Intermittency in Compressible Turbulent Channel Flows

The relative scaling exponents and intermittency of three-dimensional compressible turbulent channel flow are investigated by using direct numerical simulation. One case is subsonic flow （Mα=0.8）, the other is supersonic （Mα=1.3）, and the Reynolds numbers based on the mean bulk velocity and channel half-width are 2826 and 3010, respectively. The analysis of the local slopes of sixth order velocity structure function to third order reveals that there is a well-defined scaling range for 10〈y^＋〈100. it is also noted that the intermittency of longitudinal velocity increments in this region is stronger than that of the transverse ones. Comparison with the incompressible case shows that the location of the most intensive intermittency moves toward the log-law region, which is related to the displacement of streamwise vortical structures in the near-wall region.     

基于RBF网络信道均衡器

在数字通信系统中为了克服信道畸变引起的码间干扰，在接收端必须采用信道均衡技术。在本文中，我们将RBF网络用作均衡器。采用最近邻聚类和直接判决算法来调整隐藏层中心，然后再用LMS算法调整输出层的系数。该算法可以实现在线学习，根据相应的准则增加，删除隐藏层节点。算法事先不必确定隐藏层的节点个数。模拟结果显示，RBF网络均衡器能够正确地将信号从有噪信道中恢复出来，在计算机模拟仿真中其性能与理想贝叶斯均衡器相当。     

多重均衡选择中的风险占优与混合策略

均衡选择理论是博弈理论的重要组成部分.风险占优均衡是人们经济决策或行为的一个主要结果.利用混合策略及其性质和“抵制”的概念,“支持”了海萨尼和泽尔腾用公理定义的风险占优概念,且具体给出了识别风险占优均衡的标准和方法,并把它们推广到对称博弈中去.最后对均衡占优的直觉概念和风险占优相冲突的一些博弈进行了类似的讨论.     

基于多天线相关信道的自适应格形编码QAM调制研究

为了提高系统数据流通率,结合空时预编码技术,提出一种基于多天线相关信道反馈的低复杂度自适应格形编码调制(TCM)系统.利用二维波束成型的变换作用,使得在大天线数情况下,也具有满空时编码速率.给出系统误比特率性能分析表达式,并在此基础上得到最优空时码预编码方式.在满足系统预设可靠性要求下,获得自适应格形编码正交幅度调制(QAM)设计准则.实验结果显示能获得高数据流通率.     

完全找到整系数不可约多项式的一种新方法

本利用一种独特的映射方法将整系数多项式映射为正有理数，运用谊映射方法和数论理论，可以找到任意多个整系数不可约多项式，因此，为扩频通信与信道密码利用不可约多项式提供了一种可行且实用的技术。     

Decoherence Sensing of Entangled-Coherent-State Channels via Unambiguous Quantum State Filtering

Unambiguous quantum state filtering is applied to evaluation of the decoherence sensing of entangled quantum channels consisting of N-mode entangled coherent states. It is found that quantum entanglement can enhance the performance of decoherence sensing while the increase of the mode numbers in the entangled probe field can slightly improve the sensing performance only in the weak field regime.     

允许卖空的资本市场中存在非负均衡价格向量的充要条件

For the capital market satisfying standard assumptions that are widely adopted in the equilibrium analysis,a necessary and sufficient condition for the existence and uniqueness of a nonnegative equilibrium price vector that clears the mean-variance capital market with short sale allowed is derived. Moreover, the given explicit formula for the equilibrium price shows clearly the relationship between prices of assets and statistical properties of the rate of return on assets, the desired rates of return of individual investors as well as other economic quantities.The economic implication of the derived condition is briefly discussed. These results improve the available results about the equilibrium analysis of the mean-variance market.     

地区经济发展的不平衡与经济增长

本文用两部门内生增长模型分析了在地区经济发展不平衡的情况下 ,经济发展的长期趋势 .在这个模型中 ,假定物质资本和人力资本可以不受限制的自由流动 ,技术是外生给定的 .研究发现 ,地区差别使发达地区的经济发展更快 ,落后地区的经济发展更慢 ;发达地区将有更高的均衡利率 .最后 ,文章给出了具体的政策建议 ,并对某些政策给予了评价 .     

向量均衡问题

本首先引进了集值映射的伪单调性，利用Ky Fan引理以及KKM映射对一般向量均衡问题建立了相应的存在性定理．