Wireless network information flow: a deterministic approach Salman Avestimehr Center for the Mathematics of Information California Institute of Technology Abstract: Claude Shannon invented information theory in 1948 and it forms the basis for the design of all modern day communication systems. His original theory was primarily point-to-point, quantifying information and studying how fast it can flow across an isolated noisy communication channel. Until recently, there has been only limited success in extending the theory to a network of interacting nodes. Progress has been made in the past decade, driven both by engineering interest in wireless networks as well as conceptual advances such as network coding, which shows the surprising result that even in noiseless wireline networks, coding across packets can improve throughput beyond pure store-and-forward routing. This talk is a fresh perspective on the state-of-the-art of the field. Our strategy is to use analytically simpler discrete deterministic network models to capture the interaction between nodes and as an approximation to more complex noisy network models. We start with the classical wireline network and progress to more complex models for wireless networks and hope to answer questions such as * What is the optimal way for relay nodes to cooperate and send information? * How can information flow over a network be quantified and visualized?