Entrainment in stochastic networks with shared resources

Abstract: 

This talk will explore entrainment effects of resource sharing in stochastic networks and describe associated mathematical analysis based on elegant fluid and diffusion approximations. Illustrative examples will be drawn from biology and telecommunications.

Ruth Williams is a Distinguished Professor of Mathematics at the University of California at San Diego where she currently holds the Charles Lee Powell Chair in Mathematics I. Her research is focused on probability, stochastic processes and their applications. She is especially well known for her work on reflecting Brownian motion and stochastic networks. Ruth Williams earned her Bachelor of Science (Honours) and Master of Science degrees at the University of Melbourne, and her Ph.D. degree in Mathematics from Stanford University in 1983 under Kai Lai Chung. Ruth Williams is an elected member of the US National Academy of Sciences and of the American Academy of Arts and Sciences. She has held an NSF Presidential Young Investigator Award, an Alfred P. Sloan Fellowship, and a Guggenheim Fellowship. She is a past President of the Institute of Mathematical Statistics, a major professional society for those doing research in probability and statistics.