@article{ECP1148,
author = {Omer Angel and Alexander Holroyd and James Martin},
title = {The Jammed Phase of the Biham-Middleton-Levine Traffic Model},
journal = {Electron. Commun. Probab.},
fjournal = {Electronic Communications in Probability},
volume = {10},
year = {2005},
keywords = {},
abstract = {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 receive independent assignments. At odd time steps, each North-facing car moves one unit North if there is a vacant site for it to move into. At even time steps, East-facing cars move East in the same way. We prove that when $p$ is sufficiently close to 1 traffic is jammed, in the sense that no car moves infinitely many times. The result extends to several variant settings, including a model with cars moving at random times, and higher dimensions.},
pages = {no. 17, 167-178},
issn = {1083-589X},
doi = {10.1214/ECP.v10-1148},
url = {http://ecp.ejpecp.org/article/view/1148}}