Time-time covariance for last passage percolation with generic initial profile

DOI10.1007/s11040-018-9300-6zbMath1405.60144arXiv1807.02982OpenAlexW2837999785WikidataQ128646100 ScholiaQ128646100MaRDI QIDQ1711984

Alessandra Occelli, Patrik Lino Ferrari

Publication date: 21 January 2019

Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.02982

zbMATH Keywords

last passage percolationKPZ universality classtime-time correlations

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43)

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Cites Work

• Unnamed Item
• Unnamed Item
• Fluctuations of TASEP and LPP with general initial data
• Evidence for geometry-dependent universal fluctuations of the Kardar-Parisi-Zhang interfaces in liquid-crystal turbulence
• Characteristic sign renewals of Kardar-Parisi-Zhang fluctuations
• Two time distribution in Brownian directed percolation
• On time correlations for KPZ growth in one dimension
• The one-dimensional KPZ equation and its universality class
• 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
• Shock fluctuations in the asymmetric simple exclusion process
• Scale invariance of the PNG droplet and the Airy process
• Discrete polynuclear growth and determinantal processes
• Limiting distributions for a polynuclear growth model with external sources
• Limit distributions for KPZ growth models with spatially homogeneous random initial conditions
• Universality of the GOE Tracy-Widom distribution for TASEP with arbitrary particle density
• Local behaviour of Airy processes
• Shape fluctuations and random matrices
• Time correlation exponents in last passage percolation
• The KPZ fixed point
• An appetizer to modern developments on the Kardar-Parisi-Zhang universality class
• Anomalous shock fluctuations in TASEP and last passage percolation models
• The two-time distribution in geometric last-passage percolation
• Limit law of a second class particle in TASEP with non-random initial condition
• Universality of slow decorrelation in KPZ growth
• Cube root fluctuations for the corner growth model associated to the exclusion process
• Fluctuation properties of the TASEP with periodic initial configuration
• On the local fluctuations of last-passage percolation models
• Phase transition of the largest eigenvalue for nonnull complex sample covariance matrices
• THE KARDAR–PARISI–ZHANG EQUATION AND UNIVERSALITY CLASS
• Convergence of the Two-Point Function of the Stationary TASEP
• Fluctuations of the competition interface in presence of shocks
• From interacting particle systems to random matrices
• Tail of the two-time height distribution for KPZ growth in one dimension
• Two-time height distribution for 1D KPZ growth: the recent exact result and its tail via replica
• Dynamic Scaling of Growing Interfaces
• Airy Processes and Variational Problems
• Transition between Airy₁and Airy₂processes and TASEP fluctuations
• Limit process of stationary TASEP near the characteristic line
• Non-equilibrium behaviour of a many particle process: Density profile and local equilibria
• Fluctuations of TASEP on a Ring in Relaxation Time Scale
• Lectures on integrable probability
• Current fluctuations for the totally asymmetric simple exclusion process
• Transition to Shocks in TASEP and Decoupling of Last Passage Times
• Ergodicity of the KPZ Fixed Point
• Slow decorrelations in Kardar–Parisi–Zhang growth
• Limit processes for TASEP with shocks and rarefaction fans

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