重尾索赔下带干扰风险模型破产概率的局部解

著名的Embrechts-Goldie-Veraverbeke公式给出了在重尾索赔下Gramér-Lundberg风险模型关于破产概率的等价式,唐启鹤又给出了一个局部化的结果,本文将上述风险模型推广到带干扰的Gramér- Lundberg风险模型,得到了索赔分布F∈S~*时破产概率局部解的等价式．虽然[9]也得到了同样的结果,但是[9]中犯了概念性的错误,本文指出了该错误,然后给予了严格的证明．     

Three Cases of Light-Traffic Insensitivity of the Loss Probability in a GI/G/m/0 Loss System to the Shape of the Service Time Distribution

A GI/G/m/0 loss system is considered. Three cases of light-traffic insensitivity of the loss probability to the shape of the service time distribution, given its first moment, are investigated in a triangle array setting.     

Joint local quasinilpotence and common invariant subspaces

In this article we obtain some positive results about the existence of a common nontrivial invariant subspace forN-tuples of not necessarily commuting operators on Banach spaces with a Schauder basis. The concept of joint quasinilpotence plays a basic role. Our results complement recent work by Kosiek [6] and Ptak [8].     

对修理期间部件无老化的串联系统可用度的进一步探讨

一般认为串联系统多部件中至多允许一个部件失效且其他部件服从于统计独立情况.论述了修理期间部件无老化的串联系统分别在统计独立情况下及包含共因失效情况下的稳态可用度,并对给出一般表达式.     

Energy yield of photoluminescence in a system of particles with three energy levels on periodic pulse excitation

Within the framework of the probability method, we obtained analytical expressions for the luminescence power, absorption power, and energy yield of photoluminescence in a system of particles with three energy levels on periodic pulse excitation. It is shown that at certain periods and durations of exciting pulses the energy yield can be higher than under stationary excitation conditions. Mordovia State University, 68, Bol'shevistskaya St., Saransk, 430000, Russia. Translated from Zhurnal Prikladnoi Spektroskopii, Vol. 64, No. 2, pp. 269–272, March–April, 1997.     

D+CD4→CD3+D2反应的四维量子散射计算

运用约化维数量子动力学理论，利用含时波包法，对反应D+CD₄→CD_{3+D2进行了四维量子散射计算.将反应多原子CD4看作双原子D—CD 3，反应D+CD4→CD3+D2看作单原子-双原 子反应，把体系的反应简化为四维散射问题. 波函数的传播采用分裂算符法，为避免格点边界处含时波函数的边界反射，采用了光学吸收 势法，在格点边界处引入光学势，消除边界反射.根据CD4分子的C3v对称性， 选取了Jordan和Gilbert提出的半经验势能面.计算结果表明，反应概率随平动能的变化图像 ，呈现出显著的量子共振特性，这是很多提取反应的共同特征.而不同振动态下的反应概率 随平动能的变化表明，随振动量子数的增大，反应概率有明显提高，且反应阈能明显降低， 这说明反应分子的振动能对分子的碰撞反应有重要贡献.而对基态和第一振动激发态时散射 截面的计算，也证明了这一结论.同时，还分别通过计算量子数j，k，m对反应概率的影响， 对该反应的空间取向效应进行了研究，并与H+CH4→CH3+H2反应进行了比较. 关键词： 含时波包 量子散射 反应概率}     

k步转移矩阵的频谱插值计算法

本文较全面研究了系统状态转移矩阵的各种计算方法，在分析这些方法在实用计算中各自特点的同时，提出了较为有效的频谱插值计算法，作为应用与比较，文中给出了几个特殊转移矩阵的计算结果．     

金刚石和石墨之间相转变几率的研究

 以势垒渡越模型为基础，对石墨和金刚石的相转变几率在压强-温度（p-T）图上的分布进行了研究。从理论上得到了金刚石和石墨的亚稳态相区边界，理论计算得到的相转变几率分布与文献报道的相转变速率的实验结果具有相同的规律。高温高压法合成金刚石的p-T特征程序可以用相转变几率的分布来解释。     

Continuity of convolution semigroups on hypergroups

LetK be a commutative hypergroup with the property that either the identity character is contained in the support of the Plancherel measure onK ^{^}, or the identity character is not isolated inK ^{^} and all characters sufficiently close (but not equal) to the identity character vanish at infinity. We present a shift compactness theorem forK and use this to prove that every symmetric convolution semigroup of probability measures onK is continuous.