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

Rate Function of Large Deviation for a Class of Nonhomogeneous Markov Chains on Supercritical Percolation Network
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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. 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.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2011年第9期1813-1830,共18页 数学学报(英文版)
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.
关键词 Nonhomogeneous Markov chain large deviation rate function percolation network Nonhomogeneous Markov chain, large deviation, rate function, percolation network
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