Shift-invariance of the colored TASEP and finishing times of the oriented swap process

DOI10.1016/j.aim.2023.108884OpenAlexW4319289142MaRDI QIDQ2684531

Lingfu Zhang

Publication date: 16 February 2023

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.06350

zbMATH Keywords

KPZ universalitysorting networksEdelman-Greene correspondenceshift-invarianceoriented swap processmulti-species TASEP

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Time-dependent percolation in statistical mechanics (82C43)

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Cites Work

• Unnamed Item
• Stochastic six-vertex model
• A pattern theorem for random sorting networks
• Small deviations for beta ensembles
• Extremes of \(N\) vicious walkers for large \(N\): application to the directed polymer and KPZ interfaces
• The TASEP speed process
• 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
• The oriented swap process
• Large time asymptotics of growth models on space-like paths. I: Push ASEP
• On the number of reduced decompositions of elements of Coxeter groups
• Shock fluctuations in asymmetric simple exclusion
• Scale invariance of the PNG droplet and the Airy process
• Convergence of the stochastic six-vertex model to the ASEP, stochastic six-vertex model and ASEP
• Local behaviour of Airy processes
• Balanced tableaux
• Endpoint distribution of directed polymers in \(1 + 1\) dimensions
• Shape fluctuations and random matrices
• Temporal correlation in last passage percolation with flat initial condition via Brownian comparison
• Local stationarity in exponential last-passage percolation
• Color-position symmetry in interacting particle systems
• Symmetries of stochastic colored vertex models
• Shock fluctuations in TASEP under a variety of time scalings
• Hidden invariance of last passage percolation and directed polymers
• Absorbing time asymptotics in the oriented swap process
• Sorting networks, staircase Young tableaux, and last passage percolation
• Random sorting networks: local statistics via random matrix laws
• Microscopic structure of travelling waves in the asymmetric simple exclusion process
• Random sorting networks
• Brownian Gibbs property for Airy line ensembles
• Cube root fluctuations for the corner growth model associated to the exclusion process
• Fluctuation properties of the TASEP with periodic initial configuration
• Exact solution of the totally asymmetric simple exclusion process: shock profiles
• Non-equilibrium behaviour of a many particle process: Density profile and local equilibria
• The Archimedean limit of random sorting networks
• Circular support in random sorting networks
• The oriented swap process and last passage percolation
• Shift‐invariance for vertex models and polymers

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