23 citations · 37 across the 3 of their papers we have counts for
3 papers
math-ph2005★ 23 cited
Multiclass processes, dual points and M/M/1 queues
Pablo A. Ferrari, James B. Martin
We consider the discrete Hammersley-Aldous-Diaconis process (HAD) and the totally asymmetric simple exclusion process (TASEP) in Z. The basic coupling induces a multiclass process…
math.PR2005★ 1 cited
The Jammed Phase of the Biham-Middleton-Levine Traffic Model
Omer Angel, Alexander E Holroyd, James B Martin
Initially a car is placed with probability p at each site of the two-dimensional integer lattice. Each car is equally likely to be East-facing or North-facing, and different sites…
math.PR2005★ 13 cited
Random recursive trees and the Bolthausen-Sznitman coalescent
Christina Goldschmidt, James B. Martin
We describe a representation of the Bolthausen-Sznitman coalescent in terms of the cutting of random recursive trees. Using this representation, we prove results concerning the fin…