Near-the-Axis Universality in Last Passage Percolation
Sam McKeown, Xinyi Zhang
公開日: 2025/9/29
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.