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.
From: Evgeni Dimitrov [view email]
[v1]
Mon, 6 Oct 2025 11:31:35 UTC (23 KB)
[v2]
Wed, 19 Aug 2026 02:34:44 UTC (35 KB)
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