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math.PR2026
An infinite-dimensional Skorokhod problem with a diagonalization approach
Louis T. Clarke, Guodong Pang, Ruoyu Wu
We study an infinite-dimensional Skorokhod problem on the positive cone of , where a regulator process constrains a free càdlàg path to remain nonnegative through an ob…
math.PR2026
Growing open Markovian Jackson networks: Fluid limit and infinite-dimensional Skorokhod problem
Louis T. Clarke, Guodong Pang, Ruoyu Wu
We study growing open Jackson networks where each station is a single-server queue that follows the first-come first-served discipline with Poisson arrivals and exponentially distr…