GRCA(1)模型中误差方差自加权估计的渐近分布

考虑随机系数自回归模型Y_t =Φ_ty_t-1+ u_t,其中 Φ_t为随机系数,u_t为随机误差。在允许Φ_t与u_t相依以及Eu_t无穷的条件下,构造了误差方差的自加权估计,并证明了该估计的渐近正态性。最后通过数值模拟,说明 自加权估计的稳健和有效性。     

拟共形映照的偏离估值

设w=f(z)是把|z|<1映成|w|<1的K-Q.C.,f(0)=0。 关于w=f(z)的像的交点中,距原点最远点记为w_k,1≤k≤n记,并研究极值问题: 获得以下两个准确估值: 与,式中的φ_n是Grzsch函数φ(p)(p>1)的n次对称形式:设w=f(x)是把|z|＜1映成|w|＜1且保持原点不动的K-拟共形映照(K-Q.C.).有熟知的估值 式中的(P)(P＞1)是Grtzsch的区域函数.运用这个函数的渐近性质,可以获得极值问题的准确解.本文目的在于把这个问题精致化,获得一个广泛而精确的结果.     

Proliferation dynamics of germinative zone cells in the intact and excitotoxically lesioned postnatal rat brain

Background  

The forebrain subventricular zone (SVZ)-olfactory bulb pathway and hippocampal subgranular zone (SGZ) generate neurons into adulthood in the mammalian brain. Neurogenesis increases after injury to the adult brain, but few studies examine the effect of injury on neural and glial precursors in the postnatal brain. To characterize the spatio-temporal dynamics of cell proliferation in the germinative zones, this study utilized a model of postnatal damage induced by NMDA injection in the right sensorimotor cortex at postnatal day 9.     

Quantum mechanical single-gold-nanocluster electroluminescent light source at room temperature

Electrically contacted gold-nanocluster arrays formed within electromigration-induced break junctions exhibit bright, field-dependent electroluminescence in the near infrared (650-800 nm). Intensity autocorrelation of spatially isolated individual nanocluster emission driven at high electrical frequency (f(ac)= approximately 200 MHz) reveals antibunched electroluminescence at room temperature. These results demonstrate the single quantum nature of several-atom gold molecules and suggest their use as room-temperature electrically driven single-photon sources.     

On Transfer Operators for Continued Fractions with Restricted Digits

For any non-empty subset I of the natural numbers, let _I denotethose numbers in the unit interval whose continued fractiondigits all lie in I. Define the corresponding transfer operator for , where Re (rß) = _I is the abscissa of convergence of the series . When acting on a certain Hilbert space H_I, rß, weshow that the operator L_I, rß is conjugate to an integraloperator K_I, rß. If furthermore rß is real,then K_I, rß is selfadjoint, so that L_I, rß: H_I, rß H_I, rß has purely real spectrum.It is proved that L_I, rß also has purely real spectrumwhen acting on various Hilbert or Banach spaces of holomorphicfunctions, on the nuclear space C [0, 1], and on the Fréchetspace C [0, 1]. The analytic properties of the map rß L_I, rßare investigated. For certain alphabets I of an arithmetic nature(for example, I = primes, I = squares, I an arithmetic progression,I the set of sums of two squares it is shown that rß L_I, rß admits an analytic continuation beyond thehalf-plane Re rß > _I. 2000 Mathematics SubjectClassification 37D35, 37D20, 30B70.     

用ABCD矩阵法计算四通式单光栅展宽器的展宽量

以激光束的ABCD传输矩阵理论及Collins积分公式为基础,计算简单实用的四通式单光栅展宽器的色散量,并求出相应展宽量。     

方形管管阵流固耦合方程中独立参数D的数值解

求解和阵流固耦合方程,必须先求出独立参数Ｄ。本文介绍了一种求解方形截面情况下参数Ｄ的差分方法,首先根据边界条件,得到了求解局部问题的差分模型,在此基础上求出局部函数χ（ｙ１,ｙ２）在流体域内各离散网格点上的值,绘出了局部压力场的等值线图,并由此计算参数Ｄ的值,然后发迹λ值,重复相同的运算,最后绘出Ｄ随λ变化曲线,并和一种渐近解作了比较。结果表明,该数值解法简明、准确。     

中能Abrasion-Ablation模型的核内核子密度分布修正

将具体的核内核子(包括中子、质子)密度分布引入到中能Abrasion-Ablation模型中,用修正后的模型计算了30MeV/u ⁴⁰Ar+^natAg反应中的弹核碎裂过程.结果表明,在非常周边的碰撞中,修正后的模型计算的碎片截面与修正前的计算相比有明显的差别,反映了核密度边缘弥散的影响.与实验结果的比较验证了中能弹核碎裂碎片能量相对于束流能量的降低是由摩擦作用引起的.     

LBO晶体上1 064，532 nm倍频增透膜的镀制及性能分析

 用电子束蒸发沉积方法在X切LBO（X-LBO）晶体上镀制了两种不同膜系结构的1 064和532 nm倍频增透膜，其中一种膜系结构为基底/ZrO₂/Y₂O₃/Al₂O₃/SiO₂/空气，另一种为基底/0.5Al₂O₃/ZrO₂/Y₂O₃/Al₂O₃/SiO₂/空气，两种膜系结构的主要差别在于有无氧化铝过渡层。测量了薄膜的反射率光谱曲线，发现两种增透膜在1 064和532 nm处的反射率均小于0.5％，实际镀制结果与理论设计曲线的差异主要是由材料折射率的变化引起的。且对样品在空气环境中进行了温度为473 K的退火处理，结果发现两种膜系结构均表现了较优异的光学性能，氧化铝过渡层的加入使薄膜具有强的热应力性能。