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to be able to sit at a white board with almost anyone and debate merits and demerits of almost anything in computational mathematics. Some of my closest friends and classmates are: Esteban Arcaute, Michael Atkinson, Andrew Bradley, Paul Constantine, Adam Guetz, Nick Henderson, Jeremy Kozdon, Chris Maes, Nicole Taheri, Ying Wang, and Nick West. In particular, Jeremy Kozdon, Michael Atkinson, Paul Constantine and I sur- vived five years together in the four different offices (Durand 110, 102, 112, and Terman 396). We all developed different research, different advisers, and different girlfriends (or wifes!), but managed to stick together until gradua- tion. Chris Maes and I ended up as roommates for two years. Again, I cannot sufficiently thank these folks for all the help they’ve provided. I can only hope I wasn’t too much of a burden. Let me continue with my research collaborators. Without them, it would be difficult to imagine fitting as much material into the thesis as I have. It’s quite likely that Leslie Ward, Erin Bodine, and the rest of the Harvey Mudd Overture Services clinic team are directly (or perhaps only indirectly) responsible for the topic of this thesis. The present topic clearly follows a trajectory from our initial investigations into web search. I owe them my thanks for sending me down this path—although, at points I may have used less flattering and more colorful language to describe my thesis. Reid Andersen, Pavel Berkhin, Kevin Lang, Peter Glynn, and Sebastiano Vigna all helped shape my view of the PageRank problem through our dis- cussions. I’m extremely grateful to Marzia Polito for working through the intricacies of personalized PageRank and HostRank with me over the course of a summer internship. Likewise, Amy Langville was incredibly helpful during my visits to her in Charleston. Abraham Flaxman merits a special acknowledgment. You see, he gave me the data about α I always wanted. It is gratifying to receive data that fits initial assumptions so cleanly; see figure 4.6 for more about his data. Chen Greif also merits mention. Not only did he fly down to Stanford to attend my dissertation defense in person, he also arranged for three trips to Vancouver, and a post-doctoral position too. He’s been a great research collaborator and always makes sure I address every little detail. At Stanford, Margot Gerritsen and Amin Saberi have been constant fix- tures throughout my education. Soon after I came to Stanford, Margot asked me to prepare a homework assignment on PageRank for her numerical linear xPDF Image | Instagram Cheat Sheet
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