Busemann functions and the speed of a second class particle in the rarefaction fan

DOI10.1214/11-AOP709zbMath1276.60108arXiv1008.1812MaRDI QIDQ359670

Leandro P. R. Pimentel, Eric A. Cator

Publication date: 22 August 2013

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.1812

zbMATH Keywords

TASEPrarefaction fansecond-class particles

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics (82C21)

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Geodesic forests in last-passage percolation ⋮ Busemann functions and Gibbs measures in directed polymer models on \(\mathbb{Z}^2 \) ⋮ Joint distribution of Busemann functions in the exactly solvable corner growth model ⋮ Mixing times for the TASEP in the maximal current phase ⋮ Optimal-order exit point bounds in exponential last-passage percolation via the coupling technique ⋮ Geometry of geodesics through Busemann measures in directed last-passage percolation ⋮ Variational formulas and cocycle solutions for directed polymer and percolation models ⋮ Stationary cocycles and Busemann functions for the corner growth model ⋮ Geodesics and the competition interface for the corner growth model ⋮ Local behaviour of Airy processes ⋮ On the asymmetric zero-range in the rarefaction fan ⋮ Color-position symmetry in interacting particle systems ⋮ The TAZRP speed process ⋮ Busemann functions, geodesics, and the competition interface for directed last-passage percolation ⋮ The corner growth model with exponential weights ⋮ TASEP speed process: an effective medium approach ⋮ Jeu de taquin dynamics on infinite Young tableaux and second class particles

Cites Work

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• Multitype shape theorems for first passage percolation models
• Non-equilibrium behaviour of a many particle process: Density profile and local equilibria
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