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arXiv · 2509.25059

Near-the-Axis Universality in Last Passage Percolation

Sam McKeown·Xinyi Zhang
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Abstract

This note establishes a universal directed landscape limit for last passage percolation models in an intermediate scaling regime. We find as a quick consequence the transversal fluctuations for geodesics taken near the axis. We extend the technique of Bodineau and Martin, who in arXiv:math/0410042 have already shown universal one-point fluctuations in this regime.

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Sam McKeown, Xinyi Zhang. 2025-09-29. Near-the-Axis Universality in Last Passage Percolation. https://arxiv.org/abs/2509.25059

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