Transversal fluctuations of the ASEP, stochastic six vertex model, and Hall-Littlewood Gibbsian line ensembles
From MaRDI portal
Publication:1989875
DOI10.1007/s00220-018-3139-3zbMath1401.60176arXiv1703.07180OpenAlexW3098592229WikidataQ129871795 ScholiaQ129871795MaRDI QIDQ1989875
Publication date: 29 October 2018
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1703.07180
Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35)
Related Items (23)
Stochastic six-vertex model in a half-quadrant and half-line open asymmetric simple exclusion process ⋮ Hall-Littlewood RSK field ⋮ Convergence of exclusion processes and the KPZ equation to the KPZ fixed point ⋮ Confinement of Brownian polymers under geometric area tilts ⋮ Interlacing and scaling exponents for the geodesic watermelon in last passage percolation ⋮ KMT coupling for random walk bridges ⋮ Limit shapes and local statistics for the stochastic six-vertex model ⋮ Brownian regularity for the Airy line ensemble, and multi-polymer watermelons in Brownian last passage percolation ⋮ Mixing times for the simple exclusion process with open boundaries ⋮ The Bessel line ensemble ⋮ Spatial tightness at the edge of Gibbsian line ensembles ⋮ Tightness of discrete Gibbsian line ensembles with exponential interaction Hamiltonians ⋮ Uniform convergence to the Airy line ensemble ⋮ HALF-SPACE MACDONALD PROCESSES ⋮ Two-point convergence of the stochastic six-vertex model to the Airy process ⋮ Characterization of \(H\)-Brownian Gibbsian line ensembles ⋮ Tightness of discrete Gibbsian line ensembles ⋮ Limits and fluctuations of \(p\)-adic random matrix products ⋮ KPZ equation correlations in time ⋮ Color-position symmetry in interacting particle systems ⋮ Characterization of Brownian Gibbsian line ensembles ⋮ Tightness of Bernoulli Gibbsian line ensembles ⋮ Upper-tail large deviation principle for the ASEP
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stochastic six-vertex model
- KPZ line ensemble
- Log-gamma polymer free energy fluctuations via a Fredholm determinant identity
- Diffusivity of lattice gases
- Directed polymers and the quantum Toda lattice
- Formulas and asymptotics for the asymmetric simple exclusion process
- From duality to determinants for \(q\)-TASEP and ASEP
- Scaling for a one-dimensional directed polymer with boundary conditions
- Interacting particle systems. With a new postface.
- On a family of symmetric rational functions
- 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
- Refined Cauchy and Littlewood identities, plane partitions and symmetry classes of alternating sign matrices
- Tracy-Widom asymptotics for \(q\)-TASEP
- A multi-layer extension of the stochastic heat equation
- Order of current variance and diffusivity in the asymmetric simple exclusion process
- Asymptotics in ASEP with step initial condition
- Interaction of Markov processes
- Level-spacing distributions and the Airy kernel
- Scale invariance of the PNG droplet and the Airy process
- Discrete polynuclear growth and determinantal processes
- 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
- Current fluctuations of the stationary ASEP and six-vertex model
- Higher spin six vertex model and symmetric rational functions
- Continuum statistics of the Airy\(_{2}\) process
- Endpoint distribution of directed polymers in \(1 + 1\) dimensions
- Cylindric versions of specialised Macdonald functions and a deformed Verlinde algebra
- Multiplicative functionals on ensembles of non-intersecting paths
- A phase transition for \(q\)-TASEP with a few slower particles
- The ASEP and determinantal point processes
- \(t^{1/3}\) superdiffusivity of finite-range asymmetric exclusion processes on \({\mathbb{Z}}\)
- Brownian Gibbs property for Airy line ensembles
- Integrable probability: from representation theory to MacDonald processes
- Tropical combinatorics and Whittaker functions
- Macdonald processes
- Fluctuation properties of the TASEP with periodic initial configuration
- Two-point free energy distribution function in (1+1) directed polymers
- On the equal time two-point distribution of the one-dimensional KPZ equation by replica
- Bounds for scaling exponents for a 1+1 dimensional directed polymer in a Brownian environment
- THE KARDAR–PARISI–ZHANG EQUATION AND UNIVERSALITY CLASS
- Fluctuation exponent of the KPZ/stochastic Burgers equation
- Probability and Stochastics
- Probability distribution of the free energy of the continuum directed random polymer in 1 + 1 dimensions
- Two-point generating function of the free energy for a directed polymer in a random medium
- The one-dimensional KPZ equation and the Airy process
- Dynamic Scaling of Growing Interfaces
- Random walk loop soup
- Two Ways to Solve ASEP
- Airy Processes and Variational Problems
- Limit process of stationary TASEP near the characteristic line
- A generalization of MacMahon’s formula
- Six-vertex model, roughened surfaces, and an asymmetric spin Hamiltonian
- Stochastic higher spin six vertex model and Macdonald measures
- Variants of Geometric RSK, Geometric PNG, and the Multipoint Distribution of the Log-Gamma Polymer
- Integrable probability: stochastic vertex models and symmetric functions
- Lectures on integrable probability
- 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
- The Shifted Schur Process and Asymptotics of Large Random Strict Plane Partitions
- Limit processes for TASEP with shocks and rarefaction fans
This page was built for publication: Transversal fluctuations of the ASEP, stochastic six vertex model, and Hall-Littlewood Gibbsian line ensembles