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.