Anomalous shock fluctuations in TASEP and last passage percolation models

DOI10.1007/s00440-013-0544-6zbMath1311.60116arXiv1306.3336OpenAlexW3100988379MaRDI QIDQ2257117

Peter Nejjar, Patrik Lino Ferrari

Publication date: 23 February 2015

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.3336

zbMATH Keywords

totally asymmetric simple exclusion processlast passage percolationTracy-Widom fluctuationsAiry processes

Mathematics Subject Classification ID

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

Related Items

Transition to Shocks in TASEP and Decoupling of Last Passage Times, KPZ line ensemble, 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, The half-space Airy stat process, Shock fluctuations in flat TASEP under critical scaling, Stationary half-space last passage percolation, The second class particle process at shocks, Statistics of TASEP with three merging characteristics, The ASEP speed process, TASEP fluctuations with soft-shock initial data, Time-time covariance for last passage percolation with generic initial profile, \( \text{GUE}\times \text{GUE}\) limit law at hard shocks in ASEP, TASEP on a ring in sub-relaxation time scale, Finite GUE distribution with cut-off at a shock, Color-position symmetry in interacting particle systems, Multipoint distribution of periodic TASEP, Limiting one-point distribution of periodic TASEP, Shock fluctuations in TASEP under a variety of time scalings, Limit law of a second class particle in TASEP with non-random initial condition, Fluctuations of the competition interface in presence of shocks, Hydrodynamic limit for a 2D interlaced particle process

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