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arXiv · 2509.17067

On the Properties of the Maximum of a Random Assignment Process

Timofey Moskalenko
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Abstract

We study the maximum of the random assignment process on rectangular matrices. We derive first-order asymptotics for the expected maximum, prove a law of large numbers under mild tail assumptions, and obtain exponential upper bounds for the probabilities of large deviations.

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Timofey Moskalenko. 2025-09-21. On the Properties of the Maximum of a Random Assignment Process. https://arxiv.org/abs/2509.17067

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