Universality of the GOE Tracy-Widom distribution for TASEP with arbitrary particle density

DOI10.1214/18-EJP172zbMath1406.82012arXiv1704.01291MaRDI QIDQ1663872

Alessandra Occelli, Patrik Lino Ferrari

Publication date: 24 August 2018

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.01291

zbMATH Keywords

universalityexclusion processGOE Tracy-Widom distributionKPZ growth models

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)

Related Items

Universality of the geodesic tree in last passage percolation, Transition to Shocks in TASEP and Decoupling of Last Passage Times, Multipoint distribution of TASEP, Interlacing and scaling exponents for the geodesic watermelon in last passage percolation, Ergodicity of the KPZ Fixed Point, Moderate deviation and exit time estimates for stationary last passage percolation, The half-space Airy stat process, Stationary half-space last passage percolation, Optimal tail exponents in general last passage percolation via bootstrapping \& geodesic geometry, The second class particle process at shocks, Statistics of TASEP with three merging characteristics, Optimal-order exit point bounds in exponential last-passage percolation via the coupling technique, On the exponent governing the correlation decay of the \(\text{Airy}_1\) process, Time-time covariance for last passage percolation with generic initial profile, Time correlation exponents in last passage percolation, Brownian aspects of the KPZ fixed point, Temporal correlation in last passage percolation with flat initial condition via Brownian comparison, Universal distribution of batch completion times and time-cost tradeoff in a production line with arbitrary buffer size, Local stationarity in exponential last-passage percolation, Upper tail decay of KPZ models with Brownian initial conditions, The \(q\)-TASEP with a random initial condition, One-point distribution of the geodesic in directed last passage percolation, Shock fluctuations in TASEP under a variety of time scalings, Limit law of a second class particle in TASEP with non-random initial condition

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