A \(q\)-Robinson-Schensted-Knuth algorithm and a \(q\)-polymer
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Publication:2409838
zbMath1375.05268arXiv1610.03692MaRDI QIDQ2409838
Publication date: 16 October 2017
Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1610.03692
Macdonald polynomialsbasic hypergeometric seriesexactly solvable modelsRobinson-Schensted-Knuth algorithms
Symmetric functions and generalizations (05E05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Combinatorial probability (60C05) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)
Related Items (6)
Hidden invariance of last passage percolation and directed polymers ⋮ Invariance of polymer partition functions under the geometric RSK correspondence ⋮ Hall-Littlewood RSK field ⋮ Anisotropic \((2+1)\)d growth and Gaussian limits of \(q\)-Whittaker processes ⋮ Stochastic higher spin six vertex model and \(q\)-TASEPs ⋮ YANG–BAXTER FIELD FOR SPIN HALL–LITTLEWOOD SYMMETRIC FUNCTIONS
Cites Work
- Nearest neighbor Markov dynamics on Macdonald processes
- Log-gamma polymer free energy fluctuations via a Fredholm determinant identity
- A \(q\)-weighted version of the Robinson-Schensted algorithm
- On a classical limit of \(q\)-deformed Whittaker functions
- A symmetry property for \(q\)-weighted Robinson-Schensted and other branching insertion algorithms
- \(q\)-randomized Robinson-Schensted-Knuth correspondences and random polymers
- On \(q\)-deformed \({\mathfrak{gl}_{\ell+1}}\)-Whittaker function. I
- Scaling for a one-dimensional directed polymer with boundary conditions
- Geometric RSK correspondence, Whittaker functions and symmetrized random polymers
- An extension of Schensted's theorem
- Schensted algorithms for dual graded graphs
- Discrete polynuclear growth and determinantal processes
- Interpretations of some parameter dependent generalizations of classical matrix ensembles
- Shape fluctuations and random matrices
- Tropical combinatorics and Whittaker functions
- Macdonald processes
- Cube root fluctuations for the corner growth model associated to the exclusion process
- Permutations, matrices, and generalized Young tableaux
- On the integrability of zero-range chipping models with factorized steady states
- The Surprising Mathematics of Longest Increasing Subsequences
- Longest Increasing and Decreasing Subsequences
- Variants of Geometric RSK, Geometric PNG, and the Multipoint Distribution of the Log-Gamma Polymer
- A Characterization of the Exponential Distribution
- A Characterization of the Geometric Distribution
- Asymptotic expansions of Lambert series and related q-series
- On the Representations of the Symmetric Group
- A Characterization of the Gamma Distribution
- Markov functions
- Hook length formula and geometric combinatorics
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