母函数与随机行走模型

  • 张国春 ,
  • 王亮 ,
  • 陈亚婷
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  • 1.河北大学,数学与计算机学院,河北,保定,071002; 2.河北农业大学,理学院,河北,保定,071001

网络出版日期: 2009-11-25

基金资助

河北省自然科学基金,河北省应用基础研究重点项目,河北省教育厅首批百名优秀人才支持计划

Generating Function with the Random Walk Model

  • ZHANG Guo-chun ,
  • WANG Liang ,
  • CHEN Ya-ting
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Online published: 2009-11-25

摘要

研究了特殊情况下平面上带有双侧吸收壁的随机行走模型,研究了母函数在这一随机行走模型中的应用,用母函数推导并证明了特殊情况下质点到达吸收壁的概率计算公式.

本文引用格式

张国春 , 王亮 , 陈亚婷 . 母函数与随机行走模型[J]. 河北大学学报(自然科学版), 2009 , 29(6) : 570 -573,590 . DOI: 10.3969/j.issn.1000-1565.2009.06.004

Abstract

A special model of random walk with bilateral absorbent boundaries on the plane is studied, and the generating function is used in the model. By the generating function, the formula for computing the probability which the point reaches the absorbent boundaries in special case is presented.

参考文献

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