Spin \(q\)-Whittaker polynomials and deformed quantum Toda
DOI10.1007/s00220-021-04279-5zbMath1504.82032arXiv2003.14260OpenAlexW4205829983MaRDI QIDQ2113465
Matteo Mucciconi, Leonid Petrov
Publication date: 14 March 2022
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.14260
Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Interacting particle systems in time-dependent statistical mechanics (82C22) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Statistical mechanics of polymers (82D60) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Exactly solvable models; Bethe ansatz (82B23) PDEs with randomness, stochastic partial differential equations (35R60) Yang-Baxter equations (16T25)
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Cites Work
- Stochastic six-vertex model
- Stochastic higher spin vertex models on the line
- The \(q\)-Hahn asymmetric exclusion process
- Anisotropic growth of random surfaces in \({2+1}\) dimensions
- Directed polymers and the quantum Toda lattice
- On a classical limit of \(q\)-deformed Whittaker functions
- From duality to determinants for \(q\)-TASEP and ASEP
- Spectral theory for interacting particle systems solvable by coordinate Bethe ansatz
- \(q\)-randomized Robinson-Schensted-Knuth correspondences and random polymers
- Random-walk in beta-distributed random environment
- A new generalisation of Macdonald polynomials
- Erratum to: ``Integral formulas for the asymmetric simple exclusion process
- On \(q\)-deformed \({\mathfrak{gl}_{\ell+1}}\)-Whittaker function. II
- Scaling for a one-dimensional directed polymer with boundary conditions
- On a family of symmetric rational functions
- Geometric RSK correspondence, Whittaker functions and symmetrized random polymers
- Strong stationary times via a new form of duality
- Stationary stochastic higher spin six vertex model and \(q\)-Whittaker measure
- The strict-weak lattice polymer
- Baxter operator and archimedean Hecke algebra
- Asymptotics in ASEP with step initial condition
- Yang-Baxter equation and representation theory. I
- Dynamical systems VII. Integrable systems. Nonholonomic dynamical systems. Transl. from the Russian by A.G. Reyman and M.A. Semenov-Tian- Shansky
- On Whittaker vectors and representation theory
- Schensted algorithms for dual graded graphs
- Archimedean \(L\)-factors on \(\text{GL}(n)\times\text{GL}(n)\) and generalized Barnes integrals
- Current fluctuations of the stationary ASEP and six-vertex model
- Higher spin six vertex model and symmetric rational functions
- Shape fluctuations and random matrices
- KPZ equation limit of higher-spin exclusion processes
- Stochastic higher spin six vertex model and \(q\)-TASEPs
- Parameter permutation symmetry in particle systems and random polymers
- Yang-Baxter random fields and stochastic vertex models
- Free field approach to the Macdonald process
- Spin \(q\)-Whittaker polynomials
- Vertex operators, solvable lattice models and metaplectic Whittaker functions
- KPZ equation limit of stochastic higher spin six vertex model
- Tropical combinatorics and Whittaker functions
- On the Yang-Baxter equation for the six-vertex model
- Macdonald processes
- Tracy-widom asymptotics for a random polymer model with gamma-distributed weights
- Permutations, matrices, and generalized Young tableaux
- Integral representations for the eigenfunctions of quantum open and periodic Toda chains from the QISM formalism
- Observables of Macdonald processes
- Kardar-Parisi-Zhang Universality
- On the integrability of zero-range chipping models with factorized steady states
- New integral representations of Whittaker functions for classical Lie groups
- On a Gauss-Givental representation of quantum Toda chain wave function
- Theq-Hahn Boson Process andq-Hahn TASEP
- A commutative algebra on degenerate CP1 and Macdonald polynomials
- On the distribution of the length of the longest increasing subsequence of random permutations
- Stationary Phase Integrals, Quantum Toda Lattices, Flag Manifolds and the Mirror Conjecture
- Six-vertex model, roughened surfaces, and an asymmetric spin Hamiltonian
- Correlation function of Schur process with application to local geometry of a random 3-dimensional Young diagram
- The q-Hahn PushTASEP
- Hall-Littlewood Plane Partitions and KP
- YANG–BAXTER FIELD FOR SPIN HALL–LITTLEWOOD SYMMETRIC FUNCTIONS
- Fonctions de Whittaker associées aux groupes de Chevalley
- Hook length formula and geometric combinatorics
- Infinite wedge and random partitions
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