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arXiv · 2504.19975

Revisiting the temporal law in KPZ random growth

Mustazee Rahman
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Abstract

This article studies the temporal law of the KPZ fixed point. For the stationary geometry, we find the two-time law, which extends the single time law due to Baik-Rains and Ferrari-Spohn. For the droplet geometry, we find a relatively simpler formula for the multi-time law compared to a previous formula of Johansson and the author. These formulas are derived as the scaling limit of corresponding multi-time formulas for geometric last passage percolation.

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Mustazee Rahman. 2025-04-28. Revisiting the temporal law in KPZ random growth. https://arxiv.org/abs/2504.19975

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