Pregelation Behaviour of Coagulation Processes with the Constant-Reaction-Number Kernel

We propose an irreversible binary coagulation model with a constant-reaction-number kernel, in which, among all the possible binary coagulation reactions, only p reactions are permitted to take place at every time. By means of the generalized rate equation we investigate the kinetic behaviour of the system with the reaction rate kernel K（i;j） = （ij）^w （0 ≤w〈1/2）, at which an i-mer and a j-mer coagulate together to form a large one. It is found that for such a system there always exists a gelation transition at a finte time to, which is in contrast to the ordinary binary coagulation with the same rate kernel. Moreover, the pre-gelation behaviour of the cluster size distribution near the gelation point falls in a scaling regime and the typical cluster size grows as （to - t）-1/（1-2w）. On the other hand, our model can also provide some predictions for the evolution of the cluster distribution in multicomponent complex networks.     

纯生跳跃扩散型交换期权定价公式

在假定标的资产价格服从纯生跳跃过程的条件下,研究一类多资产期权——资产权重不同的交换期权,并在风险中性的条件下建立相应的定价方程,运用条件期望等相关知识得出交换期权的解析公式。文中最后列出一些特殊纯生跳跃扩散型交换期权的定价的例子.     

一类两指标过程—EARMA过程

本文将两指标 ARMA 过程加以推广,提出了一类新的两指标弱平稳过程——EARMA 过程,给出了它的平稳性条件和可逆性条件;讨论了它的若干性质;并讨论了它的参数估计,其中主要是自相关估计的强相合速度。     

关于随机过程循序可测性的一个注记

本文引进了可测空间的自然乘积空间和随机过程的自然提升过程等概念 .在此基础上 ,证明了一个随机过程循序可测的充分必要条件是其自然提升过程是适应过程 .此外 ,我们还得到其他一些有趣的结果 .     

On Kendall＇s Conjecture for an ExtendedBirth-death Q-processes with InstantaneousState and Catastrophes

A new structure with the special property that instantaneous state and catas-trophes is imposed to ordinary birth-death processes is considered. Kendall‘s conjecture forthe processes is proved to be right.     

25MeV／u^6He十^9Be破裂反应的α碎片发射

测量了在25MeV／u^6He轰击^9Be靶的破裂反应产生的α碎片双微分截面及角分布，并在Ser—ber模型的框架下计算了在破裂反应中衍射破裂与擦去过程的贡献，并对结果进行了讨论．结果表明基于包含衍射破裂和擦去过程的Serber模型可以对^6He的直接反应进行较好地描述，擦去过程的贡献远大于衍射破裂的贡献．相对于^6Li而言，^6He较大的去2n微分截面源于它的弱束缚特性。