--------------------------------------------------------------------------- Title: Network coding for online and dynamic networking problems Tracey Ho Center for the Mathematics of Information California Institute of Technology Abstract: Most analytical work in network coding has considered fixed rate sources and fixed link capacities. However, in networks with bursty traffic and varying channels, achieving optimal throughput involves routing and network coding as well as packet and link scheduling, which may depend on the channel states and buffer occupancies. We present an approach that achieves asymptotic optimality for multiple multicast sessions with the constraint of intra-session network coding, which is much less complex than existing approaches without network coding, and is further able to optimally allocate rates across correlated sources. We also consider the more complex case of network coding across sessions, in an online setting. We present methods for sequentially phasing in sessions that take advantage of network coding to reuse congested links. This is joint work with Harish Viswanathan, Niranjan Ratnakar and Ralf Koetter. ----------------------------------------------------------------------------