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The Jammed Phase of the Biham-Middleton-Levine Traffic Model


 
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1. Title Title of document The Jammed Phase of the Biham-Middleton-Levine Traffic Model
 
2. Creator Author's name, affiliation, country Omer Angel; University of British Columbia, Canada
 
2. Creator Author's name, affiliation, country Alexander E. Holroyd; University of British Columbia, Canada
 
2. Creator Author's name, affiliation, country James B. Martin; CNRS and Université Paris 7, France
 
3. Subject Discipline(s)
 
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4. Description 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.
 
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7. Date (YYYY-MM-DD) 2005-08-12
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ecp.ejpecp.org/article/view/1148
 
10. Identifier Digital Object Identifier 10.1214/ECP.v10-1148
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 10
 
12. Language English=en
 
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