In 2005, the Applied Probability Society initiated the annual Markov Lecture, to be delivered in the fall of each year at the INFORMS Annual Meeting. The intent is to both honor the associated speaker and to bring to the APS membership topical work of the highest calibre in our discipline. The Markov Lecturer is selected by the APS prize committee.
Department of Mathematics
Iowa State University
Title: Going Beyond Mean-Field Approximations: Understanding High-Dimensional Stochastic Dynamics on Realistic Networks
Abstract: Large collections of randomly evolving particles that interact locally with respect to an underlying network model a variety of phenomena in engineering, operations research, machine learning and epidemiology. Classical work, falling under the rubric of mean-field approximations, has mostly focused on the case when this interaction graph is dense. However, most real-world networks are sparse and often random. We survey recently developed theory that provides insight into typical and atypical behavior in such systems.
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