The TASEP on Galton-Watson trees

DOI10.1214/21-EJP725zbMath1491.60177arXiv2008.10443MaRDI QIDQ2076621

Nicos Georgiou, Nina Gantert, Dominik Schmid

Publication date: 22 February 2022

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

Full work available at URL: https://arxiv.org/abs/2008.10443

zbMATH Keywords

invariant measuretotally asymmetric simple exclusion processtreesexclusion processcurrentdisentanglement

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Processes in random environments (60K37) Jump processes on general state spaces (60J76)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Erratum to ``Tableaux combinatorics for the asymmetric exclusion process and Askey-Wilson polynomials
• Random-walk in beta-distributed random environment
• Scaling for a one-dimensional directed polymer with boundary conditions
• The speed of the tagged particle in the exclusion process on Galton-Watson trees
• The strict-weak lattice polymer
• Last passage percolation in macroscopically inhomogeneous media
• Coupling the simple exclusion process
• Shock fluctuations in the asymmetric simple exclusion process
• Shock fluctuations in the two-dimensional asymmetric simple exclusion process
• A scaling limit for queues in series
• Extremal reversible measures for the exclusion process
• Lipschitz embeddings of random fields
• Limit theorems for the tagged particle in exclusion processes on regular trees
• TASEP hydrodynamics using microscopic characteristics
• Existence of hydrodynamics for the totally asymmetric simple \(K\)-exclusion process
• Characterization of stationary measures for one-dimensional exclusion processes.
• Exact results for the asymmetric simple exclusion process with a blockage
• Shape fluctuations and random matrices
• The KPZ fixed point
• Last passage percolation in an exponential environment with discontinuous rates
• A determinantal formula for Catalan tableaux and TASEP probabilities
• Order of the variance in the discrete Hammersley process with boundaries
• Directed last passage percolation with discontinuous weights
• Combinatorics of the asymmetric exclusion process on a semi-infinite lattice
• Exclusion processes in higher dimensions: stationary measures and convergence
• Cube root fluctuations for the corner growth model associated to the exclusion process
• Tracy-widom asymptotics for a random polymer model with gamma-distributed weights
• Probability on Trees and Networks
• An exclusion process on a tree with constant aggregate hopping rate
• TASEP with Discontinuous Jump Rates
• THE KARDAR–PARISI–ZHANG EQUATION AND UNIVERSALITY CLASS
• Asymmetric simple exclusion process on a Cayley tree
• Directed Random Growth Models on the Plane
• Non-equilibrium behaviour of a many particle process: Density profile and local equilibria
• Ergodic Theorems for the Asymmetric Simple Exclusion Process
• The corner growth model with exponential weights
• Nonequilibrium steady states of matrix-product form: a solver's guide
• The Existence of Probability Measures with Given Marginals
• Hydrodynamic profiles for the totally asymmetric exclusion process with a slow bond.

This page was built for publication: The TASEP on Galton-Watson trees