Stationary measures for the log-gamma polymer and KPZ equation in half-space

A stationary model of non-intersecting directed polymers

(2023) Guillaume Barraquand et al.   Journal of Physics A-Mathematical and Theoretical

Markov processes related to the stationary measure for the open KPZ equation

(2022) Włodek Bryc et al.   PROBABILITY THEORY AND RELATED FIELDS

Transition between characters of classical groups, decomposition of Gelfand-Tsetlin patterns and last passage percolation

(2022) Elia Bisi et al.   ADVANCES IN MATHEMATICS

Half-space stationary Kardar–Parisi–Zhang equation beyond the Brownian case

(2022) Guillaume Barraquand et al.   Journal of Physics A-Mathematical and Theoretical

Random Walk on Nonnegative Integers in Beta Distributed Random Environment

(2022) Guillaume Barraquand et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

KPZ equation correlations in time

(2021) Ivan Corwin et al.   ANNALS OF PROBABILITY

Steady state of the KPZ equation on an interval and Liouville quantum mechanics

(2021) Guillaume Barraquand et al.   EPL

The geometric Burge correspondence and the partition function of polymer replicas

(2021) Elia Bisi et al.   Selecta Mathematica-New Series

Stationary Half-Space Last Passage Percolation

(2020) Dan Betea et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

Delta-Bose gas on a half-line and the Kardar–Parisi–Zhang equation: boundary bound states and unbinding transitions

(2020) Jacopo De Nardis et al.   JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT

Uniqueness and Ergodicity of Stationary Directed Polymers on $$\mathbb {Z}^2$$

(2020) Christopher Janjigian et al.   JOURNAL OF STATISTICAL PHYSICS

Stationary stochastic Higher Spin Six Vertex Model and q-Whittaker measure

(2020) Takashi Imamura et al.   PROBABILITY THEORY AND RELATED FIELDS

Half-Space Stationary Kardar–Parisi–Zhang Equation

(2020) Guillaume Barraquand et al.   JOURNAL OF STATISTICAL PHYSICS

The infinitesimal generator of the stochastic Burgers equation

(2020) Massimiliano Gubinelli et al.   PROBABILITY THEORY AND RELATED FIELDS

Intermediate Disorder Regime for Half-Space Directed Polymers

(2020) Xuan Wu   JOURNAL OF STATISTICAL PHYSICS

Phase transitions in the ASEP and stochastic six-vertex model

(2019) Amol Aggarwal et al.   ANNALS OF PROBABILITY

The strong Feller property for singular stochastic PDEs

(2018) M. Hairer et al.   ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES

Open ASEP in the Weakly Asymmetric Regime

(2018) Ivan Corwin et al.   COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS

Current fluctuations of the stationary ASEP and six-vertex model

(2018) Amol Aggarwal   DUKE MATHEMATICAL JOURNAL

Pfaffian Schur processes and last passage percolation in a half-quadrant

(2018) Jinho Baik et al.   ANNALS OF PROBABILITY

The KPZ Limit of ASEP with Boundary

(2018) Shalin Parekh   COMMUNICATIONS IN MATHEMATICAL PHYSICS

Stochastic six-vertex model in a half-quadrant and half-line open asymmetric simple exclusion process

(2018) Guillaume Barraquand et al.   DUKE MATHEMATICAL JOURNAL

Fluctuations for stationary q-TASEP

(2018) Takashi Imamura et al.   PROBABILITY THEORY AND RELATED FIELDS

The Free Boundary Schur Process and Applications I

(2018) Dan Betea et al.   ANNALES HENRI POINCARE

Tracy–Widom fluctuations for perturbations of the log-gamma polymer in intermediate disorder

(2018) Arjun Krishnan et al.   ANNALS OF APPLIED PROBABILITY

Free energy distribution of the stationary O’Connell–Yor directed random polymer model

(2017) Takashi Imamura et al.   Journal of Physics A-Mathematical and Theoretical

Asymmetric Simple Exclusion Process with Open Boundaries and Quadratic Harnesses

(2017) Włodek Bryc et al.   JOURNAL OF STATISTICAL PHYSICS

Polynomial chaos and scaling limits of disordered systems

(2017) Francesco Caravenna et al.   JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY

Point-to-line polymers and orthogonal Whittaker functions

(2017) Elia Bisi et al.   TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

Higher spin six vertex model and symmetric rational functions

(2016) Alexei Borodin et al.   Selecta Mathematica-New Series

Ratios of partition functions for the log-gamma polymer

(2015) Nicos Georgiou et al.   ANNALS OF PROBABILITY

Stochastic Higher Spin Vertex Models on the Line

(2015) Ivan Corwin et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

A Multi-Layer Extension of the Stochastic Heat Equation

(2015) Neil O’Connell et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

Height Fluctuations for the Stationary KPZ Equation

(2015) Alexei Borodin et al.   MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY

Moments and Lyapunov exponents for the parabolic Anderson model

(2014) Alexei Borodin et al.   ANNALS OF APPLIED PROBABILITY

The intermediate disorder regime for directed polymers in dimension $1+1$

(2014) Tom Alberts et al.   ANNALS OF PROBABILITY

Tropical combinatorics and Whittaker functions

(2014) Ivan Corwin et al.   DUKE MATHEMATICAL JOURNAL

Geometric RSK correspondence, Whittaker functions and symmetrized random polymers

(2013) Neil O’Connell et al.   INVENTIONES MATHEMATICAE

Macdonald processes

(2013) Alexei Borodin et al.   PROBABILITY THEORY AND RELATED FIELDS

Scaling for a one-dimensional directed polymer with boundary conditions

(2012) Timo Seppäläinen   ANNALS OF PROBABILITY

Pinning and wetting transition for (1+1)-dimensional fields with Laplacian interaction

(2008) Francesco Caravenna et al.   ANNALS OF PROBABILITY