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Sponsored AI Networking Cookbook: Practical recipes for AI-assisted network automation and development AI Networking Cookbook: Practical recipes for AI-assisted network automation and development

Author

Shiling Liang

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Preprint Aug 2026

A Universal Control Budget for First-Passage Kinetics

The first-passage time is the natural observable of reaction completion, yet how its mean responds to a rate change has lacked a general constraint. We show that the logarithmic sensitivity of the mean first-passage time of any finite Markov chain to any rate is bounded by one in magnitude, and that these sensitivities...

Shi-Ling Liang, Rui-Cheng Bao · 1 citation
Open access Aug 2026

Exact Finite Response of Higher-Order Statistics in Nonequilibrium Networks

We develop an exact finite-perturbation response theory for the higher-order statistics of general state observables in nonequilibrium Markov networks. For local perturbations, the moment generating function obeys an exact nonlinear response identity in the perturbation strength, controlled by a single kinetic paramete...

Rui-Cheng Bao, Shi-Ling Liang · 0 citations

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