The Department of Applied Mathematics is pleased to host this series of colloquium lectures, funded in part by a generous gift from the Boeing Company. This series will bring to campus prominent applied mathematicians from around the world.
Speaker: Kavita Ramanan
Date: May 9th, 2019, 4pm
Location: (SMI 205)
Title: A Bird's Eye View of Stochastic Networks: From Load Balancing to Biochemical Reactions
Abstract: Large collections of dynamic stochastic particles that interact according to an underlying interaction network arise in diverse applications in science and engineering. These are often too large and complex to be tractable, either analytically or numerically, and consequently, the understanding and analysis of these systems offers many challenges.
We will describe general results that justify various asymptotic approximations of these systems, and illustrate how they can be used to provide qualitative insight into various interesting phenomena arising in a variety of systems ranging from load balancing systems to synchronization in brain networks.