Temporal correlation in last passage percolation with flat initial condition via Brownian comparison
From MaRDI portal
Publication:2021632
DOI10.1007/s00220-021-03958-7zbMath1468.60111arXiv1912.04891OpenAlexW3150383318MaRDI QIDQ2021632
Riddhipratim Basu, Lingfu Zhang, Shirshendu Ganguly
Publication date: 27 April 2021
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1912.04891
Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35)
Related Items (14)
Universality of the geodesic tree in last passage percolation ⋮ Interlacing and scaling exponents for the geodesic watermelon in last passage percolation ⋮ Mixing times for the TASEP in the maximal current phase ⋮ The lower tail of \(q\)-pushTASEP ⋮ Time-time covariance for last passage percolation in half-space ⋮ Shift-invariance of the colored TASEP and finishing times of the oriented swap process ⋮ The geometry of near ground states in Gaussian polymer models ⋮ Optimal-order exit point bounds in exponential last-passage percolation via the coupling technique ⋮ Uniform fluctuation and wandering bounds in first passage percolation ⋮ Non-uniqueness times for the maximizer of the KPZ fixed point ⋮ On the exponent governing the correlation decay of the \(\text{Airy}_1\) process ⋮ Time correlation exponents in last passage percolation ⋮ KPZ equation correlations in time ⋮ Nonexistence of bigeodesics in planar exponential last passage percolation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- KPZ line ensemble
- Evidence for geometry-dependent universal fluctuations of the Kardar-Parisi-Zhang interfaces in liquid-crystal turbulence
- Ergodicity of the Airy line ensemble
- Two time distribution in Brownian directed percolation
- Small deviations for beta ensembles
- On time correlations for KPZ growth in one dimension
- KPZ equation tails for general initial data
- Airy kernel with two sets of parameters in directed percolation and random matrix theory
- Large time asymptotics of growth models on space-like paths. I: Push ASEP
- On Strassen's theorem on stochastic domination
- Scale invariance of the PNG droplet and the Airy process
- Discrete polynuclear growth and determinantal processes
- The competition of roughness and curvature in area-constrained polymer models
- Universality of the GOE Tracy-Widom distribution for TASEP with arbitrary particle density
- Time-time covariance for last passage percolation with generic initial profile
- Local behaviour of Airy processes
- Shape fluctuations and random matrices
- Lower tail of the KPZ equation
- Modulus of continuity of polymer weight profiles in Brownian last passage percolation
- Long and short time asymptotics of the two-time distribution in local random growth
- Fractal geometry of \(\text{Airy}_2\) processes coupled via the Airy sheet
- The two-time distribution in geometric last-passage percolation
- Brownian Gibbs property for Airy line ensembles
- Fluctuation properties of the TASEP with periodic initial configuration
- Large time asymptotics of growth models on space-like paths. II: PNG and parallel TASEP
- Beta ensembles, stochastic Airy spectrum, and a diffusion
- Two-time height distribution for 1D KPZ growth: the recent exact result and its tail via replica
- Dynamic Scaling of Growing Interfaces
- Non-equilibrium behaviour of a many particle process: Density profile and local equilibria
- High-Dimensional Probability
- A PATCHWORK QUILT SEWN FROM BROWNIAN FABRIC: REGULARITY OF POLYMER WEIGHT PROFILES IN BROWNIAN LAST PASSAGE PERCOLATION
- Multipoint distribution of periodic TASEP
- Coalescence of geodesics in exactly solvable models of last passage percolation
- Fluctuations in the Discrete TASEP with Periodic Initial Configurations and the Airy1 Process
This page was built for publication: Temporal correlation in last passage percolation with flat initial condition via Brownian comparison