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math.PR2025
The Stationary Behavior of Reflecting Coupled Brownian Motions with Applications to Shortest Remaining Processing Time Queues
Sixian Jin, Marvin Pena, Amber L. Puha
With the objective of characterizing the stationary behavior of the scaling limit for shortest remaining processing time (SRPT) queues with a heavy-tailed processing time distribut…
math.PR2020
The Life and Mathematical Legacy of Thomas M. Liggett
David Aldous, Pietro Caputo, Rick Durrett +3
Thomas Milton Liggett was a world renowned UCLA probabilist, famous for his monograph Interacting Particle Systems. He passed away peacefully on May 12, 2020. This is a perspective…
math.PR2004
Invariant states and rates of Convergence for a critical fluid model of a processor sharing queue
Amber L. Puha, Ruth J. Williams
This paper contains an asymptotic analysis of a fluid model for a heavily loaded processor sharing queue. Specifically, we consider the behavior of solutions of critical fluid mode…