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 la...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.展开更多
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.
文摘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.
