THE LAW OF ITERATED LOGARITHM FOR R／S STATISTICS

A law of iterated logarithm for R/S statistics with the help of the strong approximations of R/S statistics by functions of a Wiener process is shown.     

群的正则带的拟强半格分解

推广了半群的强半格分解的定义,得到了半群的拟强半格分解,并证明了完全正则半群为群 的正则(或右拟正规)带当且仅当它是完全单半群的拟强半格(且 )).     

Numerical study of laser-induced collision process in Eu-Sr in strong field

Theoretically based on the four-level model, one LICET process in Eu-Sr system in both weak and strong fields was calculated by immediate numerical integrations. Numerical results in weak field are in fair to good agreement with analytical ones. Numerical results in strong field show that: (a) the peak of the LICET profiles moves to the violet side and the tuning range of the profiles obviously becomes narrower when the laser field intensity increases; and (b) numerical results in strong field differ a lot from analytical ones, which indicates that in strong field, the analytical expressions are not applicable any longer.     

NA样本固定设计下半参数回归模型中估计的强相合性

对于半参数回归模型yi=xiβ g(ti) ei，i=1，2,…，n(xi，ti)为已知的固定设计点列．本在误差{e．1≤n≤n)为NA序列时，对g(t)和σ的估计量gn~(t)和σn^2的逐点强相合。以及gn~(t)的一致强相合作了研究，得到比较理想的结果。     

局部对称Lorentz流形中的2-调和类空子流形

研究局部对称Lorentz流行中的2-调和类空子流形，得到2-调和等距浸入的平均曲率为零的充分条件，紧致超曲面以及常平均曲率超曲面的全测地性质。     

半参数变量含误差函数关系模型的小波估计

本文研究半参数变量含误差函数关系模型，应用小波估计法和全最小二乘法得出未知参数和未知函数的估计，在一般的条件下，证明了估计的强相合性、一致强相合性，并给出了误差方差估计的强收敛速度。     

Dynamics of pulsed saturation in inhomogeneously broadened two-level systems

On the basis of Bloch's equations an analytical expression is obtained for the pulsed saturation signal of a two-level quantum system with allowance for inhomogeneous line broadening. It is shown that in this case the signal drop is exponential over the initial portion and nonexponential for long times. It is found that starting from a certain time, which depends on the field magnitude, relaxation parameters, and inhomogeneous width of the line, a through appears in the line contour, the depth and width of which increases with an increase in pulse duration. At smaller durations of the pulse, when the line is bell-shaped, an exponential decay of the signal indicates saturation of homogeneously broadened line. Comparison of the results obtained in an experiment on pulsed saturation in ruby shows that at large amplitudes of the field and considerable inhomogeneous broadening, one observes a deviation from the Bloch theory manifesting itself as a biexponential drop in the pulsed saturation signal. A conclusion is drawn that the Bloch theory satisfactorily describes the experiment until the effective time of energy transfer to the lattice is smaller than the time of the spectral propagation of excitation. Institute of Solid-State and Semiconductor Physics, Academy of Sciences of Belarus, 17, P. Brovka St., Minsk, 220072, Belarus. Translated from Zhurnal Prikladnoi Spektroskopii, Vol. 64, No. 2, pp. 197–203, March–April, 1997.     

耗散Schrodinger-Poisson方程组的Cauchy问题

考虑耗散Schrodinger-Poisson方程组的Cauchy问题,对于吸引力场情形,证明了该问题整体强解的存在唯一性.      

Parameter Estimation for Controlled Semilinear Stochastic Systems: Identifiability and Consistency

We consider a controlled stochastic semilinear evolution equation with the drift depending on the unknown parameter. We show that the maximum likelihood estimator is strongly consistent for a class of bounded predictable controls.     

“一类新共轭下降算法的全局收敛性”一文注

本文首先指出文献 [1 ]给出的一类新共轭下降算法全局收敛条件是不恰当的 ,并给予了更正 ;然后将所得结果作了进一步的推广 .