Rate Function of Large Deviation for a Class of Nonhomogeneous Markov Chains on Supercritical Percolation Network

作     者：Zhong Hao XU Dong HAN 

作者机构：School of Finance and Statistics East China Normal University Shanghai 200241 P. R. China Department of Mathematics Shanghai Jiao Tong University Shanghai 200240 P. R. China 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2011年第27卷第9期

页      面：1813-1830页

核心收录：

学科分类：083002[工学-环境工程] 02[经济学] 0202[经济学-应用经济学] 020208[经济学-统计学] 0830[工学-环境科学与工程（可授工学、理学、农学学位）] 07[理学] 08[工学] 0714[理学-统计学（可授理学、经济学学位）] 070103[理学-概率论与数理统计] 0701[理学-数学] 

基　　金：Supported by Mathematical Tianyuan Foundation (Grant No. 10926117) and National Natural Science Foundation of China (Grant No. 10531070) The authors would like to thank the referee for having read the paper carefully and for suggesting arrangements of article structure 

主　　题：Nonhomogeneous Markov chain large deviation rate function percolation network 

摘      要：We model an epidemic with a class of nonhomogeneous Markov chains on the supercritical percolation network on Zd. The large deviations law for the Markov chain is given. Explicit expression of the rate function for large deviation is obtained.