The stationary horizon and semi-infinite geodesics in the directed landscape
DOI10.1214/23-aop1655arXiv2203.13242OpenAlexW4391363521MaRDI QIDQ6118752
Ofer Busani, Timo Seppäläinen, Evan Sorensen
Publication date: 28 February 2024
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2203.13242
Brownian motionHausdorff dimensioncoalescenceattractorgeodesicBusemann functionKPZ fixed pointdirected landscapesemi-infinite geodesicpalm kernelstationary horizon
Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43) Processes in random environments (60K37)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Inviscid Burgers equation with random kick forcing in noncompact setting
- The Burgers equation with Poisson random forcing
- Stationary cocycles and Busemann functions for the corner growth model
- Geodesics and the competition interface for the corner growth model
- The TASEP speed process
- Geodesics in first passage percolation
- Coexistence for Richardson type competing spatial growth models
- A representation for non-colliding random walks
- Geodesics in two-dimensional first-passage percolation
- Brownian aspects of the KPZ fixed point
- Local stationarity in exponential last-passage percolation
- The KPZ fixed point
- Nonexistence of bigeodesics in planar exponential last passage percolation
- Hausdorff dimensions for shared endpoints of disjoint geodesics in the directed landscape
- Three-halves variation of geodesics in the directed landscape
- Universality of the geodesic tree in last passage percolation
- RSK in last passage percolation: a unified approach
- Busemann functions and Gibbs measures in directed polymer models on \(\mathbb{Z}^2 \)
- Coalescence estimates for the corner growth model with exponential weights
- Existence, uniqueness and coalescence of directed planar geodesics: proof via the increment-stationary growth process
- Fractal geometry of \(\text{Airy}_2\) processes coupled via the Airy sheet
- Busemann functions and infinite geodesics in two-dimensional first-passage percolation
- Cube root fluctuations for the corner growth model associated to the exclusion process
- Competition interfaces and second class particles
- Moderate deviation and exit time estimates for stationary last passage percolation
- Joint distribution of Busemann functions in the exactly solvable corner growth model
- Busemann process and semi-infinite geodesics in Brownian last-passage percolation
- Space-time stationary solutions for the Burgers equation
- Random Measures, Theory and Applications
- 50 Years of First-Passage Percolation
- A path-transformation for random walks and the Robinson-Schensted correspondence
- Thermodynamic Limit for Directed Polymers and Stationary Solutions of the Burgers Equation
- Ergodicity of the KPZ Fixed Point
- Convergence of exclusion processes and the KPZ equation to the KPZ fixed point
- Exponents governing the rarity of disjoint polymers in Brownian last passage percolation
- Non-existence of bi-infinite geodesics in the exponential corner growth model
- One-sided reflected Brownian motions and the KPZ fixed point
- Coalescence of geodesics in exactly solvable models of last passage percolation
- Infinite geodesics, asymptotic directions, and Busemann functions in first-passage percolation
- The corner growth model with exponential weights
- Brownian Motion
- The directed landscape
- Global structure of semi-infinite geodesics and competition interfaces in Brownian last-passage percolation
- Geometry of geodesics through Busemann measures in directed last-passage percolation
This page was built for publication: The stationary horizon and semi-infinite geodesics in the directed landscape