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math.PR2018
Attractiveness of Brownian queues in tandem
Eric A. Cator, Sergio I. Lopez, Leandro P. R. Pimentel
Consider a sequence of n bi-infinite and stationary Brownian queues in tandem. Assume that the arrival process entering in the first queue is a zero mean ergodic process. We prove…
math.PR2018★ 1 cited
Explicit bounds for critical infection rates and expected extinction times of the contact process on finite random graphs
Eric Cator, Henk Don
We introduce a method to prove metastability of the contact process on Erdős-Rényi graphs and on configuration model graphs. The method relies on uniformly bounding the total infec…