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There is now a CONTENT FREEZE for Mercury while we switch to a new platform. It began on Friday, March 10 at 6pm and will end on Wednesday, March 15 at noon. No new content can be created during this time, but all material in the system as of the beginning of the freeze will be migrated to the new platform, including users and groups. Functionally the new site is identical to the old one. webteam@gatech.edu
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A stochastic process that takes values in a space of Borel measures is
called a measure valued process. This talk will introduce several related
measure valued processes that can be used to model certain "resource
sharing" queueing systems. The dynamics of such systems involve complex
interactions, making them difficult to analyze using classical methods.
Measure valued processes provide a tractable description of these
dynamics, and working in this context leads to new tools for obtaining
scaling limit theorems. The talk will give an overview of this approach
and describe some recent results and open questions.