Hall-Littlewood RSK field

DOI10.1007/s00029-018-0442-yzbMath1400.05261arXiv1705.07169OpenAlexW2962879024MaRDI QIDQ1618286

Konstantin I. Matveev, Alexey I. Bufetov

Publication date: 13 November 2018

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.07169

zbMATH Keywords

six vertex modelHall-Littlewood polynomialsRSK algorithmMacdonald processes

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items

Hidden invariance of last passage percolation and directed polymers, Invariance of polymer partition functions under the geometric RSK correspondence, RSK in last passage percolation: a unified approach, Some algebraic structures in KPZ universality, qRSt: a probabilistic Robinson-Schensted correspondence for Macdonald polynomials, HALF-SPACE MACDONALD PROCESSES, PushTASEP in inhomogeneous space, Stochastic PDE limit of the dynamic ASEP, Limits and fluctuations of \(p\)-adic random matrix products, Generalizations of TASEP in discrete and continuous inhomogeneous space, Stochastic higher spin six vertex model and \(q\)-TASEPs, Color-position symmetry in interacting particle systems, Yang-Baxter random fields and stochastic vertex models, Refined Cauchy identity for spin Hall-Littlewood symmetric rational functions, Observables of stochastic colored vertex models and local relation, YANG–BAXTER FIELD FOR SPIN HALL–LITTLEWOOD SYMMETRIC FUNCTIONS, \(q\)-TASEP with position-dependent slowing

Cites Work

• Unnamed Item
• Stochastic six-vertex model
• 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
• From duality to determinants for \(q\)-TASEP and ASEP
• An irreversible local Markov chain that preserves the six vertex model on a torus
• Law of large numbers for infinite random matrices over a finite field
• A family of integral transformations and basic hypergeometric series
• A multi-layer extension of the stochastic heat equation
• Generalized Robinson-Schensted-Knuth correspondence
• A Fredholm determinant representation in ASEP
• Asymptotics in ASEP with step initial condition
• Scale invariance of the PNG droplet and the Airy process
• Asymptotics of random domino tilings of rectangular Aztec diamonds
• KPZ and Airy limits of Hall-Littlewood random plane partitions
• Convergence of the stochastic six-vertex model to the ASEP, stochastic six-vertex model and ASEP
• Higher spin six vertex model and symmetric rational functions
• Non-intersecting paths, random tilings and random matrices
• Schur operators and Knuth correspondences
• On the asymmetric simple exclusion process with multiple species
• Shape fluctuations and random matrices
• Transversal fluctuations of the ASEP, stochastic six vertex model, and Hall-Littlewood Gibbsian line ensembles
• A \(q\)-Robinson-Schensted-Knuth algorithm and a \(q\)-polymer
• Integrable probability: from representation theory to MacDonald processes
• Macdonald processes
• The arctic circle boundary and the Airy process
• Permutations, matrices, and generalized Young tableaux
• Observables of Macdonald processes
• General β-Jacobi Corners Process and the Gaussian Free Field
• Longest Increasing and Decreasing Subsequences
• A commutative algebra on degenerate CP1 and Macdonald polynomials
• Six-vertex model, roughened surfaces, and an asymmetric spin Hamiltonian
• Stochastic higher spin six vertex model and Macdonald measures
• Correlation function of Schur process with application to local geometry of a random 3-dimensional Young diagram
• Macdonald processes, quantum integrable systems and the Kardar-Parisi-Zhang universality class
• Free Energy Fluctuations for Directed Polymers in Random Media in 1 + 1 Dimension
• On the Representations of the Symmetric Group
• Infinite wedge and random partitions