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| Speaker: Prof. Bill Moran, Melbourne University
Title: Random Thoughts on Randomization
Date and Time: Friday, May 24th, 3.00pm – 4.00pm
Location: Building 8 Level 9 Room 66 (AGR) RMIT City campus (To connect via Zoom please contact email@example.com)
|Abstract: Surprisingly, the randomization of a problem space can often make it easier to solve than the deterministic original. This trick occurs across a range of areas of mathematics, statistics, computer science, and even engineering. Early instances are Borel’s Theorem on normal numbers and mixed strategies in game theory. Other examples include Erdos-Renyi graphs and their work on additivity properties of sequences of integers. I will give a survey of the various ideas and, as time permits, discuss a range of applications to: number theory, graph theory, signal processing, optimization, computer science, game theory, and statistics.
Bio: Professor Bill Moran (M’95) currently serves, since 2017, as Professor of Defence Technology in the University of Melbourne. From 2014 to 2017, he was Director of the Signal Processing and Sensor Control Group in the School of Engineering at RMIT University, from 2001 to 2014, a Professor in the Department of Electrical Engineering, University of Melbourne, Director of Defence Science Institute in University of Melbourne (2011-14), Professor of Mathematics (1976–1991), Head of the Department of Pure Mathematics (1977–79, 1984–86), Dean of Mathematical and Computer Sciences (1981, 1982, 1989) at the University of Adelaide, and Head of the Mathematics Discipline at the Flinders University of South Australia (1991–95). He was Head of the Medical Signal Processing Program (1995–99) in the Cooperative Research Centre for Sensor Signal and information Processing. He was a member of the Australian Research Council College of Experts from 2007 to 2009. He was elected to the Fellowship of the Australian Academy of Science in 1984. He holds a Ph.D. in Pure Mathematics from the University of Sheffield, UK (1968), and a First Class Honours B.Sc. in Mathematics from the University of Birmingham (1965). He has been a Principal Investigator on numerous research grants and contracts, in areas spanning pure mathematics to radar development, from both Australian and US Research Funding Agencies, including DARPA, AFOSR, AFRL, Australian Research Council (ARC), Australian Department of Education, Science and Training, and Defence Science and Technology, Australia. His main areas of research interest are in signal processing both theoretically and in applications to radar, waveform design and radar theory, sensor networks, and sensor management. He also works in various areas of mathematics including harmonic analysis, representation theory, and number theory.