Parameter permutation symmetry in particle systems and random polymers
DOI10.3842/SIGMA.2021.021zbMath1467.82059arXiv1912.06067MaRDI QIDQ2023423
Publication date: 3 May 2021
Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1912.06067
stationary distribution\(q\)-Hahn TASEP\(q\)-TASEPcoordinate Bethe ansatzstochastic \(q\)-Boson system
Interacting particle systems in time-dependent statistical mechanics (82C22) Statistical mechanics of polymers (82D60) Combinatorial probability (60C05) Continuous-time Markov processes on discrete state spaces (60J27) Exactly solvable dynamic models in time-dependent statistical mechanics (82C23)
Related Items (2)
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
- A short proof of a symmetry identity for the \(q\)-Hahn distribution
- From duality to determinants for \(q\)-TASEP and ASEP
- Spectral theory for interacting particle systems solvable by coordinate Bethe ansatz
- Random-walk in beta-distributed random environment
- Scaling for a one-dimensional directed polymer with boundary conditions
- Geometric RSK correspondence, Whittaker functions and symmetrized random polymers
- The one-dimensional KPZ equation and its universality class
- A KPZ cocktail-shaken, not stirred\dots: Toasting 30 years of kinetically roughened surfaces
- Tracy-Widom limit of \(q\)-Hahn TASEP
- Tracy-Widom asymptotics for \(q\)-TASEP
- Integral formulas for the asymmetric simple exclusion process
- Asymptotics in ASEP with step initial condition
- Inhomogeneous exponential jump model
- Higher spin six vertex model and symmetric rational functions
- Fluctuations in the composite regime of a disordered growth model
- Shape fluctuations and random matrices
- Generalizations of TASEP in discrete and continuous inhomogeneous space
- Yang-Baxter random fields and stochastic vertex models
- Mapping TASEP Back in time
- Spin \(q\)-Whittaker polynomials and deformed quantum Toda
- Hidden invariance of last passage percolation and directed polymers
- PushTASEP in inhomogeneous space
- Determinantal structures in space-inhomogeneous dynamics on interlacing arrays
- Tropical combinatorics and Whittaker functions
- Macdonald processes
- Kardar-Parisi-Zhang Universality
- On the integrability of zero-range chipping models with factorized steady states
- THE KARDAR–PARISI–ZHANG EQUATION AND UNIVERSALITY CLASS
- A deformation of affine Hecke algebra and integrable stochastic particle system
- Theq-Hahn Boson Process andq-Hahn TASEP
- On integrable directed polymer models on the square lattice
- Exact results for one-dimensional totally asymmetric diffusion models
- Six-vertex model, roughened surfaces, and an asymmetric spin Hamiltonian
- Integrable probability: stochastic vertex models and symmetric functions
- Correlation function of Schur process with application to local geometry of a random 3-dimensional Young diagram
- The q-Hahn PushTASEP
- Bethe ansatz and current distribution for the TASEP with particle-dependent hopping rates
- Existence of a persistent hub in the convex preferential attachment model
- The blockage problem
- Coloured stochastic vertex models and their spectral theory
- Hydrodynamic profiles for the totally asymmetric exclusion process with a slow bond.
- Random words, Toeplitz determinants and integrable systems. II
- Shift‐invariance for vertex models and polymers
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