Functional large deviations for Cox processes and \(Cox / G / \infty\) queues, with a biological application

DOI10.1214/20-AAP1563zbMath1457.60047arXiv1808.04347OpenAlexW3037557543MaRDI QIDQ2657946

Edward Crane, Justin Dean, Ayalvadi J. Ganesh

Publication date: 18 March 2021

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.04347

zbMATH Keywords

large deviationspoint processesrandom measureschemical reaction networksinfinite-server queues

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Large deviations (60F10)

Related Items (3)

Noise dissipation in gene regulatory networks via second order statistics of networks of infinite server queues ⋮ Infinite server queues in a random fast oscillatory environment ⋮ Functional limit theorems for nonstationary marked Hawkes processes in the high intensity regime

Cites Work

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• A Comparison Principle for Large Deviations
• Large deviation principle for empirical measures generated by Cox point processes
• Noise in Gene Regulatory Networks
• Scaling limits for infinite-server systems in a random environment

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