KPZ limit theorems
From MaRDI portal
Publication:6118119
DOI10.4171/icm2022/8arXiv2206.14086OpenAlexW4389775291MaRDI QIDQ6118119
Publication date: 20 March 2024
Published in: International Congress of Mathematicians (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2206.14086
integrable modelsTASEPperiodic domaindirected last passage percolationKPZintegrable differential equationsmulti-point distribution
Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Height fluctuations for the stationary KPZ equation
- Stochastic six-vertex model
- Stochastic higher spin vertex models on the line
- The \(q\)-Hahn asymmetric exclusion process
- Log-gamma polymer free energy fluctuations via a Fredholm determinant identity
- Anisotropic growth of random surfaces in \({2+1}\) dimensions
- Directed polymers and the quantum Toda lattice
- Two time distribution in Brownian directed percolation
- Fluctuations of the one-dimensional polynuclear growth model in half-space
- Spectral statistics of Erdős-Rényi graphs II: eigenvalue spacing and the extreme eigenvalues
- On time correlations for KPZ growth in one dimension
- Airy kernel with two sets of parameters in directed percolation and random matrix theory
- A PDE for the multi-time joint probability of the Airy process
- Large time asymptotics of growth models on space-like paths. I: Push ASEP
- Asymptotics in ASEP with step initial condition
- Interaction of Markov processes
- A variational problem for random Young tableaux
- Exact solution of the master equation for the asymmetric exclusion process
- Level-spacing distributions and the Airy kernel
- Scale invariance of the PNG droplet and the Airy process
- Discrete polynuclear growth and determinantal processes
- Universality at the edge of the spectrum in Wigner random matrices.
- 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
- A system of differential equations for the Airy process
- Current distribution and random matrix ensembles for an integrable asymmetric fragmentation process
- The asymptotics of monotone subsequences of involutions
- Non-intersecting paths, random tilings and random matrices
- Riemann-Hilbert approach to multi-time processes: the Airy and the Pearcey cases
- Random matrices: Universality of local eigenvalue statistics up to the edge
- Shape fluctuations and random matrices
- The two-time distribution in geometric last-passage percolation
- A universality property for last-passage percolation paths close to the axis
- A necessary and sufficient condition for edge universality of Wigner matrices
- Macdonald processes
- Fluctuation properties of the TASEP with periodic initial configuration
- Large time asymptotics of growth models on space-like paths. II: PNG and parallel TASEP
- PDEs for the joint distributions of the Dyson, Airy and Sine processes
- Periodic TASEP with general initial conditions
- THE KARDAR–PARISI–ZHANG EQUATION AND UNIVERSALITY CLASS
- The Surprising Mathematics of Longest Increasing Subsequences
- Probability distribution of the free energy of the continuum directed random polymer in 1 + 1 dimensions
- Dynamic Scaling of Growing Interfaces
- Discrete Orthogonal Polynomials. (AM-164): Asymptotics and Applications (AM-164)
- The Bethe Wavefunction
- Transition between Airy1and Airy2processes and TASEP fluctuations
- Non-equilibrium behaviour of a many particle process: Density profile and local equilibria
- On the distribution of the length of the longest increasing subsequence of random permutations
- Longest increasing subsequences: from patience sorting to the Baik-Deift-Johansson theorem
- Fluctuations of TASEP on a Ring in Relaxation Time Scale
- Lectures on integrable probability
- Uniform asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory
- Lectures on Random Lozenge Tilings
- Three Lectures on “Fifty Years of KdV: An Integrable System”
- Multipoint distribution of periodic TASEP
- Free Energy Fluctuations for Directed Polymers in Random Media in 1 + 1 Dimension
- Combinatorics and Random Matrix Theory
- DIFFERENTIAL EQUATIONS FOR QUANTUM CORRELATION FUNCTIONS
- GUEs and queues
- Infinite wedge and random partitions
