The directed landscape

DOI10.4310/acta.2022.v229.n2.a1zbMath1522.60075arXiv1812.00309OpenAlexW4321448658MaRDI QIDQ6042828

Bálint Virág, Janosch Ortmann, Duncan Dauvergne

Publication date: 4 May 2023

Published in: Acta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.00309

zbMATH Keywords

Kardar-Parisi-Zhang universality classrandom functionsAiry sheetBrownian last passage percolationdirected landscape

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43)

Related Items (16)

Last passage isometries for the directed landscape ⋮ Geodesic length and shifted weights in first-passage percolation ⋮ Skew RSK dynamics: Greene invariants, affine crystals and applications toq-Whittaker polynomials ⋮ Connecting eigenvalue rigidity with polymer geometry: diffusive transversal fluctuations under large deviation ⋮ Differential equations for the KPZ and periodic KPZ fixed points ⋮ The stationary horizon and semi-infinite geodesics in the directed landscape ⋮ The lower tail of \(q\)-pushTASEP ⋮ Shift‐invariance for vertex models and polymers ⋮ Exact solution of interacting particle systems related to random matrices ⋮ Exceptional times when the KPZ fixed point violates Johansson's conjecture on maximizer uniqueness ⋮ Scaling limit of the heavy tailed ballistic deposition model with \(p\)-sticking ⋮ Boundary current fluctuations for the half‐space ASEP and six‐vertex model ⋮ The geometry of near ground states in Gaussian polymer models ⋮ Global structure of semi-infinite geodesics and competition interfaces in Brownian last-passage percolation ⋮ KPZ equation limit of stochastic higher spin six vertex model ⋮ A PATCHWORK QUILT SEWN FROM BROWNIAN FABRIC: REGULARITY OF POLYMER WEIGHT PROFILES IN BROWNIAN LAST PASSAGE PERCOLATION

This page was built for publication: The directed landscape