A note on last passage percolation and Schur processes
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.
Fields of Study & Subjects
Random Matrices and Applications
Stochastic processes and statistical mechanics
Bayesian Methods and Mixture Models
Publication details
- Journal / source
- Probability Surveys
- Volume
- 23
- Issue
- none
- Pages
- 344–376
- Publication date
- 1 January 2026
- Language
- EN