期刊论文

The Asymptotic Behavior of the Maximum Degrees for Some Biological Copy-network

中文

应用数学

1001-9847

2013

26

2

333-340

10.3969/j.issn.1001-9847.2013.02.012

教育部/国家外国专家局高等学校学科创新引智计划项目（B07042）；

本校为第一机构

本文研究一类生物复制网络模型最大度数的极限行为.利用鞅技术,讨论最大度数的大数定律和中心极限定理,进一步,证明最大度数满足重对数律,本文得到的结果在某种意义下能为生物学家研究生物内部机制提供理论依据.

In this paper,we study the asymptotic behavior of the maximum degrees for some biological copy-network.In virtue of martingale approach,we discuss the law of large number and the central limit theorem.Further,the law of iterated logarithm for the maximum degrees is also studied.This work can offer some theoretical foundation for the research ...