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math.PR2018
Scaling limits for a random boxes model
Frank Aurzada, Sebastian Schwinn
We consider random rectangles in that are distributed according to a Poisson random measure, i.e., independently and uniformly scattered in the plane. The distributi…
math.PR2016
Improving the performance of polling models using forced idle times
Frank Aurzada, Sebastian Schwinn
We consider polling models in the sense of Takagi (MIT Press, 1986). In our case, the feature of the server is that it may be forced to wait idly for new messages at an empty queue…