Two-point convergence of the stochastic six-vertex model to the Airy process

DOI10.1007/s00220-022-04499-3OpenAlexW3038130263MaRDI QIDQ2692760

Evgeni Dimitrov

Publication date: 23 March 2023

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.15934

Mathematics Subject Classification ID

Equilibrium statistical mechanics (82Bxx) Time-dependent statistical mechanics (dynamic and nonequilibrium) (82Cxx) Special processes (60Kxx)

Related Items (2)

One-point asymptotics for half-flat ASEP ⋮ GOE fluctuations for the maximum of the top path in alternating sign matrices

Cites Work

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• Height fluctuations for the stationary KPZ equation
• Stochastic six-vertex model
• Log-gamma polymer free energy fluctuations via a Fredholm determinant identity
• Formulas and asymptotics for the asymmetric simple exclusion process
• From duality to determinants for \(q\)-TASEP and ASEP
• Asymptotics of random lozenge tilings via Gelfand-Tsetlin schemes
• Yang's system of particles and Hecke algebras
• 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 asymptotics for \(q\)-TASEP
• Asymptotics in ASEP with step initial condition
• Level-spacing distributions and the Airy kernel
• Scale invariance of the PNG droplet and the Airy process
• Step fluctuations for a faceted crystal
• Discrete polynuclear growth and determinantal processes
• Tracy-Widom fluctuations for perturbations of the log-gamma polymer in intermediate disorder
• 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
• Directed random polymers via nested contour integrals
• Current fluctuations of the stationary ASEP and six-vertex model
• Higher spin six vertex model and symmetric rational functions
• Transversal fluctuations of the ASEP, stochastic six vertex model, and Hall-Littlewood Gibbsian line ensembles
• The KPZ fixed point
• Stochastic PDE limit of the six vertex model
• 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
• Macdonald processes
• The arctic circle boundary and the Airy process
• Observables of Macdonald processes
• 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
• The propagator of the attractive delta-Bose gas in one dimension
• THE KARDAR–PARISI–ZHANG EQUATION AND UNIVERSALITY CLASS
• Probability distribution of the free energy of the continuum directed random polymer in 1 + 1 dimensions
• A Remark on Stirling's Formula
• Two-point generating function of the free energy for a directed polymer in a random medium
• Dynamic Scaling of Growing Interfaces
• 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
• Convergence of exclusion processes and the KPZ equation to the KPZ fixed point
• Study of Exactly Soluble One-Dimensional N-Body Problems
• 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
• Exact Analysis of an Interacting Bose Gas. I. The General Solution and the Ground State

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