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The directed landscape seen from its trees

The directed landscape seen from its trees

来源:Arxiv_logoArxiv
英文摘要

A basic question about the directed landscape is how much of it can be reconstructed simply by knowing the shapes of its geodesics. We prove that the directed landscape can be reconstructed from the shapes of its semi-infinite geodesics. In order to show this result, we make use of the Busemann process of the directed landscape together with a novel ``coordinate system" and ``differential distance" to capture the behaviour of semi-infinite geodesics.

Mustazee Rahman、Balint Virag

数学

Mustazee Rahman,Balint Virag.The directed landscape seen from its trees[EB/OL].(2025-07-04)[2025-07-21].https://arxiv.org/abs/2410.19070.点此复制

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