The life and work of A.A. Markov

被引：41

作者：

Basharin, GP

Langville, AN ^{[1
]}

Naumov, VA

机构：

[1] N Carolina State Univ, Dept Math, Raleigh, NC 27695 USA

[2] Peoples Friendship Univ, Moscow 117419, Russia

[3] Lappeenranta Univ Technol, Lappeenranta 53850, Finland

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2004年 / 386卷

关键词：

Andrei A. Markov biography; Markov chain; weak law of large numbers;

D O I：

10.1016/j.laa.2003.12.041

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Russian mathematician A.A. Markov (1856-1922) is known for his work in number theory, analysis, and probability theory. He extended the weak law of large numbers and the central limit theorem to certain sequences of dependent random variables forming special classes of what are now known as Markov chains. For illustrative purposes Markov applied his chains to the distribution of vowels and consonants in A.S. Pushkin's poem "Eugeny Onegin". At, present, much more important applications of Markov chains have been discovered. Here we present an overview of Markov's life and his work on the chains. (C) 2004 Elsevier Inc. All rights reserved.

引用

页码：3 / 26

页数：24