iii Acknowledgments I have benefited immensely from my advisors Dr. Keith W. Ross and Dr. Magda El Zarki. The thesis owes much of its current form to the constructive suggestions and critical comments of my advisors. I would also like to thank them for providing me with the freedom and support to pursue my interests. Thanks are also due to Dr. Prashant P. Gandhi for working late with me on some of the results in Chapter 2. I would also like to thank Dr. Manoel Rodrigues for sharing his insights with me which were crucial in the development of Chapter 4. I also thank Dr. Amarnath Mukherjee and Dr. Jonathan M. Smith for their help and encouragement. I would also like to acknowledge all the anonymous referees for the time they spent going through parts of the thesis, submitted for publication, and their insightful comments. I am indebted to my parents for all the encouragement and moral support they have provided me throughout my extended academic career. Thanks are also due to Lloyd W. Clarke, Scott Malcolm, and Jie Wang, with whom I shared office space at various times, for a great working environment. I would also like to thank all my friends for making my stay in Philadelphia enjoyable.
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