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ii ACKNOWLEDGMENTS First of all, I would like to thank Dr. Ji who helped and supported me during the first year of my study. My special thank goes to my advisor, Dr. Timofeyev, for guiding and supporting me throughout my study. Without his help, my dissertation would not have been completed. I would like to thank my committee members, Dr. Nicol, Dr.(More)
We analyze the performance of the novel Markov chain stochastic modeling technique for derivation of effective equations for a set of essential variables. This technique is an empirical approach where the right-hand side of the essential variables is modeled by a Markov chain. We demonstrate that the Markov chain modeling approach performs well in a(More)
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