math.PR · 2026-06-17 · No. 26

Probability, 2026-06-17.

1 new papers in math.PR. Titles, authors, abstracts. Links to arXiv. Want this in your inbox every morning? Subscribe →

01 — The papers

1 entries
  1. 01

    Finite-Time Queue Peak Laws in Stochastic Networks: Logarithmic Scaling After Geometric Thresholds

    Hao Liang, Cheng Tang, Yunzong Xu

    math.PR · cs.LG · eess.SY · math.OC · stat.ML

    We study finite-horizon queue peaks in generalized switches, a standard stochastic-network model in which many queues share constrained service resources. Arrivals may be dependent, time-varying, and adapted to the past; the standing load condition is uniform interior slack, meaning the conditional mean arrival vector stays in a fixed contraction of the capacity region. We show that this slack reshapes the finite-time peak law for...

    arxiv.org/abs/2606.18218 · PDF

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