A note on last passage percolation and Schur processes

Evgeni Dimitrov; Zongrui Yang

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arXiv · 2510.04713

A note on last passage percolation and Schur processes

Evgeni Dimitrov·Zongrui Yang

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Abstract

In this note we provide a short proof of the distributional equality between last passage percolation with geometric weights along a general down-right path and Schur processes. We do this in both the full-space and half-space settings, and for general parameters. The main inputs for our arguments are generalizations of the Robinson-Schensted-Knuth correspondence and Greene's theorem due to Krattenthaler, which are based on Fomin's growth diagrams.

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Evgeni Dimitrov, Zongrui Yang. 2025-10-06. A note on last passage percolation and Schur processes. https://arxiv.org/abs/2510.04713

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