Mathematical models of the Internet
Auckland, New Zealand, April 2012.
The Internet has attracted the attention of many theoreticians, eager to
understand the remarkable success of this diverse and complex artefact.
One strand of this effort has been a framework that allows the
various detailed algorithms used to control congestion, choose
routes and allocate resources
to be seen as a distributed mechanism solving a global optimization
problem. The talk will review the framework, and discuss topics such as
fairness and stability, as well as current engineering efforts
to improve the reliability and robustness of the Internet.
mathematics of traffic in networks.
Princeton Companion to Mathematics"
(Editor Timothy Gowers; June Barrow-Green and Imre Leader, associate
Princeton University Press, 2008. 862-870.