一个与广义二项级数有关的随机游动问题

利用广义二项级数本文给出了随机格点最终到达给定边界的概率.     

三阶广义焦点问题的正解

本文研究一类三阶三点广义右焦点边值问题.借助由白和葛获得的不动点定理以及相应Green函数的性质,我们得到了存在三个正解的充分条件.     

带有不完全信息的随机截尾广义线性模型的中偏差

本文介绍了随机截尾的带有不完全信息的广义线性模型,并在一定条件下运用Taylor渐近展开方法得到了此模型的极大似然估计的中偏差.     

含有中心二项式系数以及广义调和数的无穷级数恒等式

该文以两个高斯超几何求和公式为基础,建立一系列关于中心二项式系数和广义调和数的无穷级数恒等式.     

两类关于二项式系数倒数的级数(英文)

By applying the theory of formal power series,the author obtains the closed forms for two kinds of infinite series involving the reciprocals of binomial coefficients,and the author gets another closed form for the infinite series Σr≥m tn＋r/（n＋rr）.     

A Random Walk on Rectangles Algorithm

In this article, we introduce an algorithm that simulates efficiently the first exit time and position from a rectangle (or a parallelepiped) for a Brownian motion that starts at any point inside. This method provides an exact way to simulate the first exit time and position from any polygonal domain and then to solve some Dirichlet problems, whatever the dimension. This method can be used as a replacement or complement of the method of the random walk on spheres and can be easily adapted to deal with Neumann boundary conditions or Brownian motion with a constant drift. AMS 2000 Subject Classification 60C05, 65N     

Limit Theorems in the Boundary Hitting Problem for a Multidimensional Random Walk

Siberian Mathematical Journal -     

A Darling-Erdos-Type Theorem for Standardized Random Walk Summation

In this paper we consider the random walk summation method whichincludes, for example, the Borel, Euler, Meyer-König andValiron methods, and obtain a Darling-Erds-type limit theoremfor the maximum of normalized sums defined by random walk summation.     

广义级随机Dirichlet级数的值分布

主要研究了右半平面上的广义级随机Dirichlet级数,它a.s.以虚轴上每一点为其没有例外小函数的强Borel点,推广了右半平面上Dirichlet级数的有关结果.     

时间随机环境下随机游动的渐近行为

本文给出了可数状态空间中时间随机环境下随机游动的一个统一的模型 .对于最常见的情况 ,即d维最近邻域随机环境下随机游动 ,如果环境是严平稳的 ,则在一定条件下 ,该随机游动满足强大数定律和中心极限定理 .特别地 ,当环境独立同分布时 ,我们可以得到更为具体的结果 ,该结果类似于经典的随机游动的相应结论 .