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arXiv · 1909.06883

Non-existence of bi-infinite geodesics in the exponential corner growth model

Márton Balázs·Ofer Busani·Timo Seppäläinen
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Abstract

This paper gives a self-contained proof of the non-existence of nontrivial bi-infinite geodesics in directed planar last-passage percolation with exponential weights. The techniques used are couplings, coarse graining, and control of geodesics through planarity and estimates derived from increment-stationary versions of the last-passage percolation process.

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Márton Balázs, Ofer Busani, Timo Seppäläinen. 2019-09-15. Non-existence of bi-infinite geodesics in the exponential corner growth model. https://doi.org/10.1017/fms.2020.31

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