Bulk properties of the Airy line ensemble
From MaRDI portal
Publication:2039451
DOI10.1214/20-AOP1492zbMath1484.60107arXiv1812.00311MaRDI QIDQ2039451
Duncan Dauvergne, Bálint Virág
Publication date: 2 July 2021
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1812.00311
modulus of continuityDyson's Brownian motionlast passage percolationAiry processKPZ universality classAiry line ensembleBrownian Gibbs property
Random matrices (probabilistic aspects) (60B20) Interacting random processes; statistical mechanics type models; percolation theory (60K35)
Related Items
RSK in last passage percolation: a unified approach ⋮ Interlacing and scaling exponents for the geodesic watermelon in last passage percolation ⋮ When the geodesic becomes rigid in the directed landscape ⋮ Last passage isometries for the directed landscape ⋮ Geodesic length and shifted weights in first-passage percolation ⋮ Monotone subsequences in locally uniform random permutations ⋮ The lower tail of \(q\)-pushTASEP ⋮ 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 ⋮ Local and global comparisons of the Airy difference profile to Brownian local time ⋮ Non-uniqueness times for the maximizer of the KPZ fixed point ⋮ Characterization of \(H\)-Brownian Gibbsian line ensembles ⋮ A PATCHWORK QUILT SEWN FROM BROWNIAN FABRIC: REGULARITY OF POLYMER WEIGHT PROFILES IN BROWNIAN LAST PASSAGE PERCOLATION ⋮ Tightness of Bernoulli Gibbsian line ensembles ⋮ Hausdorff dimensions for shared endpoints of disjoint geodesics in the directed landscape ⋮ Integration by parts and the KPZ two-point function ⋮ Three-halves variation of geodesics in the directed landscape
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- KPZ line ensemble
- Duality between coalescence times and exit points in last-passage percolation models
- Ergodicity of the Airy line ensemble
- Small deviations for beta ensembles
- Geodesics and the competition interface for the corner growth model
- Brownian motion in a Weyl chamber, non-colliding particles, and random matrices
- Scale invariance of the PNG droplet and the Airy process
- Gaussian fluctuation for the number of particles in Airy, Bessel, sine, and other determinantal random point fields
- Gaussian fluctuations of eigenvalues in the GUE
- Modulus of continuity for polymer fluctuations and weight profiles in Poissonian last passage percolation
- Modulus of continuity of polymer weight profiles in Brownian last passage percolation
- Brownian Gibbs property for Airy line ensembles
- PDEs for the joint distributions of the Dyson, Airy and Sine processes
- A Brownian-Motion Model for the Eigenvalues of a Random Matrix
- Exponents governing the rarity of disjoint polymers in Brownian last passage percolation
- A PATCHWORK QUILT SEWN FROM BROWNIAN FABRIC: REGULARITY OF POLYMER WEIGHT PROFILES IN BROWNIAN LAST PASSAGE PERCOLATION
- Coalescence of geodesics in exactly solvable models of last passage percolation
- Deviation Inequalities on Largest Eigenvalues