Transition to Shocks in TASEP and Decoupling of Last Passage Times

zbMath1414.60081arXiv1705.08836MaRDI QIDQ4962128

Peter Nejjar

Publication date: 30 October 2018

Full work available at URL: https://arxiv.org/abs/1705.08836

zbMATH Keywords

shocksTASEPKPZ universalitylast passage percolation

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (14)

Molecular motor traffic with a slow binding site ⋮ The half-space Airy stat process ⋮ Stationary half-space last passage percolation ⋮ The second class particle process at shocks ⋮ Statistics of TASEP with three merging characteristics ⋮ 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 ⋮ Finite GUE distribution with cut-off at a shock ⋮ KPZ statistics of second class particles in ASEP via mixing ⋮ Shock fluctuations in TASEP under a variety of time scalings ⋮ Limit law of a second class particle in TASEP with non-random initial condition ⋮ On the phase transition in the sublattice TASEP with stochastic blockage ⋮ Defect-induced anticorrelations in molecular motor traffic

Cites Work

• Unnamed Item
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• Universality of slow decorrelation in KPZ growth
• Cube root fluctuations for the corner growth model associated to the exclusion process
• On the local fluctuations of last-passage percolation models
• PDEs for the joint distributions of the Dyson, Airy and Sine processes
• Transition between Airy₁and Airy₂processes and TASEP fluctuations

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