Moderate deviation and exit time estimates for stationary last passage percolation

DOI10.1007/s10955-020-02632-xzbMath1462.82034arXiv2004.12987OpenAlexW3086209030MaRDI QIDQ2658896

Manan Bhatia

Publication date: 25 March 2021

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.12987

zbMATH Keywords

exit timemoderate deviationsTASEPlast passage percolationstationary LPP

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Random matrices (algebraic aspects) (15B52) Time-dependent percolation in statistical mechanics (82C43)

Related Items

Mixing times for the TASEP in the maximal current phase, The stationary horizon and semi-infinite geodesics in the directed landscape, Optimal-order exit point bounds in exponential last-passage percolation via the coupling technique, Coalescence estimates for the corner growth model with exponential weights

Cites Work

• Duality between coalescence times and exit points in last-passage percolation models
• Small deviations for beta ensembles
• Airy kernel with two sets of parameters in directed percolation and random matrix theory
• Order of current variance and diffusivity in the asymmetric simple exclusion process
• Discrete polynuclear growth and determinantal processes
• Limiting distributions for a polynuclear growth model with external sources
• Universality of the GOE Tracy-Widom distribution for TASEP with arbitrary particle density
• Time-time covariance for last passage percolation with generic initial profile
• Shape fluctuations and random matrices
• Coalescence estimates for the corner growth model with exponential weights
• Limit law of a second class particle in TASEP with non-random initial condition
• Cube root fluctuations for the corner growth model associated to the exclusion process
• Fluctuation properties of the TASEP with periodic initial configuration
• Limit process of stationary TASEP near the characteristic line
• Non-equilibrium behaviour of a many particle process: Density profile and local equilibria
• Current fluctuations for the totally asymmetric simple exclusion process
• Coalescence of geodesics in exactly solvable models of last passage percolation
• The corner growth model with exponential weights
• The Output of a Queuing System