Multiclass Hammersley-Aldous-Diaconis process and multiclass-customer queues
From MaRDI portal
Publication:838316
DOI10.1214/08-AIHP168zbMath1171.60383arXiv0707.4202OpenAlexW2963432960MaRDI QIDQ838316
James B. Martin, Pablo A. Ferrari
Publication date: 24 August 2009
Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0707.4202
Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Interacting random processes; statistical mechanics type models; percolation theory (60K35)
Related Items
Shock fluctuations for the Hammersley process ⋮ Joint distribution of Busemann functions in the exactly solvable corner growth model ⋮ Stationary distributions of the multi-type ASEP ⋮ Busemann functions and equilibrium measures in last passage percolation models ⋮ Classification of stationary distributions for the stochastic vertex models ⋮ Poisson limit theorems for the Robinson-Schensted correspondence and for the multi-line Hammersley process ⋮ The TAZRP speed process
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A dynamical phase transition in an infinite particle system
- Polynuclear growth on a flat substrate and edge scaling of GOE eigenvalues
- Shock fluctuations in asymmetric simple exclusion
- Coupling the simple exclusion process
- Scale invariance of the PNG droplet and the Airy process
- A combinatorial approach to jumping particles
- Hammersley's process with sources and sinks
- On the weak convergence of departures from an infinite series of \(\cdot{}/M /1\) queues
- Hammersley's interacting particle process and longest increasing subsequences
- Invariant measures for a two-species asymmetric process
- A microscopic model for the Burgers equation and longest increasing subsequences
- Microscopic structure of travelling waves in the asymmetric simple exclusion process
- Stationary distributions of multi-type totally asymmetric exclusion processes
- The stationary measure of a 2-type totally asymmetric exclusion process.
- Exact solution of the totally asymmetric simple exclusion process: shock profiles
This page was built for publication: Multiclass Hammersley-Aldous-Diaconis process and multiclass-customer queues