Stationary measures for the log-gamma polymer and KPZ equation in half-space
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Publication:6142951
DOI10.1214/23-aop1634arXiv2203.11037OpenAlexW4294287854MaRDI QIDQ6142951
Ivan Corwin, Guillaume Barraquand
Publication date: 23 January 2024
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2203.11037
Stationary stochastic processes (60G10) Continuous-time Markov processes on general state spaces (60J25) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Exactly solvable dynamic models in time-dependent statistical mechanics (82C23)
Cites Work
- Unnamed Item
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- Height fluctuations for the stationary KPZ equation
- Stochastic higher spin vertex models on the line
- Polynomial chaos and scaling limits of disordered systems
- Directed polymers in random environments. École d'Été de Probabilités de Saint-Flour XLVI -- 2016
- Fluctuations of the one-dimensional polynuclear growth model in half-space
- Scaling for a one-dimensional directed polymer with boundary conditions
- Geometric RSK correspondence, Whittaker functions and symmetrized random polymers
- KPZ equation, its renormalization and invariant measures
- Stationary stochastic higher spin six vertex model and \(q\)-Whittaker measure
- Scaling limit for the space-time covariance of the stationary totally asymmetric simple exclusion process
- Ratios of partition functions for the log-gamma polymer
- A multi-layer extension of the stochastic heat equation
- Exponential functionals of Brownian motion. I: Probability laws at fixed time
- Pinning of polymers and interfaces by random potentials
- Stochastic Burgers and KPZ equations from particle systems
- Limiting distributions for a polynuclear growth model with external sources
- Stochastic six-vertex model in a half-quadrant and half-line open asymmetric simple exclusion process
- Pfaffian Schur processes and last passage percolation in a half-quadrant
- The strong Feller property for singular stochastic PDEs
- The free boundary Schur process and applications. I
- Tracy-Widom fluctuations for perturbations of the log-gamma polymer in intermediate disorder
- Current fluctuations of the stationary ASEP and six-vertex model
- The KPZ limit of ASEP with boundary
- Higher spin six vertex model and symmetric rational functions
- Brownian analogues of Burke's theorem.
- Algebraic aspects of increasing subsequences
- The asymptotics of monotone subsequences of involutions
- A representation for non-colliding random walks
- KPZ equation correlations in time
- The geometric Burge correspondence and the partition function of polymer replicas
- Positive random walks and an identity for half-space SPDEs
- Uniqueness and ergodicity of stationary directed polymers on \(\mathbb{Z}^2\)
- Stationary half-space last passage percolation
- The infinitesimal generator of the stochastic Burgers equation
- Asymmetric simple exclusion process with open boundaries and quadratic harnesses
- Phase transitions in the ASEP and stochastic six-vertex model
- Tropical combinatorics and Whittaker functions
- Macdonald processes
- The intermediate disorder regime for directed polymers in dimension \(1+1\)
- Moments and Lyapunov exponents for the parabolic Anderson model
- Pinning and wetting transition for (1\(+\)1)-dimensional fields with Laplacian interaction
- Half-space stationary Kardar-Parisi-Zhang equation
- Intermediate disorder regime for half-space directed polymers
- Transition between characters of classical groups, decomposition of Gelfand-Tsetlin patterns and last passage percolation
- Random walk on nonnegative integers in beta distributed random environment
- Limiting distributions associated with moments of exponential Brownian functionals
- Dynamic Scaling of Growing Interfaces
- Ergodic Theorems for the Asymmetric Simple Exclusion Process
- Parabolic Anderson problem and intermittency
- Open ASEP in the Weakly Asymmetric Regime
- Exact solution of a 1D asymmetric exclusion model using a matrix formulation
- Asymmetric simple exclusion process with open boundaries and Askey–Wilson polynomials
- Free energy distribution of the stationary O’Connell–Yor directed random polymer model
- Half-space stationary Kardar–Parisi–Zhang equation beyond the Brownian case
- HALF-SPACE MACDONALD PROCESSES
- Delta-Bose gas on a half-line and the Kardar–Parisi–Zhang equation: boundary bound states and unbinding transitions
- Point-to-line polymers and orthogonal Whittaker functions
- Markov limits of steady states of the KPZ equation on an interval
- A stationary model of non-intersecting directed polymers
- Stationary measures of the KPZ equation on an interval from Enaud–Derrida’s matrix product ansatz representation
- A new class of symmetric functions
- On striking identities about the exponential functionals of the Brownian bridge and Brownian motion
- A relationship between Brownian motions with opposite drifts via certain enlargements of the Brownian filtration
- Markov processes related to the stationary measure for the open KPZ equation
- An Identity in Distribution Between Full-Space and Half-Space Log-Gamma Polymers
- Some recent progress on the stationary measure for the open KPZ equation
