Damon Wischik - Papers Large deviations and Internet congestion Damon Wischik. The Internet is one of the most important queueing networks there is today. It should be of interest to mathematicians because it raises interesting mathematical questions, and because good and timely answers to those questions can feed back into better design.
Congestion is currently a major problem.
If the Internet is to fulfil its promise of changing the way we communicate, it must evolve new ways of coping with congestion. In this thesis we study the phenomenon of congestion, and examine mechanisms for ensuring the network operates within its capacity. Our main tool is the mathematical theory of Large Deviations. Large Deviations theory is a modern branch of probability, concerned with estimating the probabilities of rare events. It provides limit theorems, and it is our choice of limiting regime that distinguishes this from earlier work.