RSK in last passage percolation: a unified approach
DOI10.1214/22-PS4zbMath1487.05272arXiv2106.09836MaRDI QIDQ2135724
Publication date: 9 May 2022
Published in: Probability Surveys (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2106.09836
Young tableauxRobinson-Schensted correspondencelast passage percolationKPZ universality classGreene's theoremPitman transformRSK bijection
Combinatorial identities, bijective combinatorics (05A19) Permutations, words, matrices (05A05) Combinatorial aspects of representation theory (05E10) Representations of finite symmetric groups (20C30) Interacting random processes; statistical mechanics type models; percolation theory (60K35)
Related Items (3)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A \(q\)-weighted version of the Robinson-Schensted algorithm
- Stationary cocycles and Busemann functions for the corner growth model
- Decorated Young tableaux and the poissonized Robinson-Schensted process
- Littelmann paths and Brownian paths
- Growth diagrams, and increasing and decreasing chains in fillings of Ferrers shapes
- An extension of Schensted's theorem
- A variational problem for random Young tableaux
- Exact limiting shape for a simplified model of first-passage percolation on the plane
- Hall-Littlewood RSK field
- Non-colliding random walks, tandem queues, and discrete orthogonal polynomial ensembles
- A representation for non-colliding random walks
- Paths in Weyl chambers and random matrices
- Bulk properties of the Airy line ensemble
- Hidden invariance of last passage percolation and directed polymers
- Invariance of polymer partition functions under the geometric RSK correspondence
- Minuscule reverse plane partitions via quiver representations
- Brownian Gibbs property for Airy line ensembles
- Tropical combinatorics and Whittaker functions
- Permutations, matrices, and generalized Young tableaux
- The Surprising Mathematics of Longest Increasing Subsequences
- Longest Increasing and Decreasing Subsequences
- One-dimensional Brownian motion and the three-dimensional Bessel process
- A path-transformation for random walks and the Robinson-Schensted correspondence
- Conditioned random walks and the RSK correspondence
- Queues, stores, and tableaux
- On the Representations of the Symmetric Group
This page was built for publication: RSK in last passage percolation: a unified approach