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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

Manan Bhatia

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Preprint Sep 2026

Geodesic traces in dynamical Brownian last passage percolation

We consider Brownian last passage percolation (BLPP) in which the Brownian increment process on each unit horizontal interval is independently resampled at rate one. By combining strong passage-time stability estimates with a multiscale analysis of static near-optimal paths, we show that, for every $\varepsilon>0$, the...

Manan Bhatia · 1 citation · ⚡1
Preprint Sep 2026

A non-trivial dynamics on the directed landscape

We prove the existence of a non-trivial continuous stationary reversible dynamics on the directed landscape as a subsequential scaling limit of Brownian last passage percolation under the Ornstein--Uhlenbeck dynamics. Strong passage-time stability estimates from the companion paper Bhatia'26, together with static endpo...

Manan Bhatia · 0 citations

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