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) | |
3. | Subject | Keyword(s) | |
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. |
5. | Publisher | Organizing agency, location | |
6. | Contributor | Sponsor(s) | |
7. | Date | (YYYY-MM-DD) | 2005-08-12 |
8. | Type | Status & genre | Peer-reviewed Article |
8. | Type | Type | |
9. | Format | File format | |
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 | |
14. | Coverage | Geo-spatial location, chronological period, research sample (gender, age, etc.) | |
15. | Rights | Copyright and permissions | The Electronic Journal of Probability applies the Creative Commons Attribution License (CCAL) to all articles we publish in this journal. Under the CCAL, authors retain ownership of the copyright for their article, but authors allow anyone to download, reuse, reprint, modify, distribute, and/or copy articles published in EJP, so long as the original authors and source are credited. This broad license was developed to facilitate open access to, and free use of, original works of all types. Applying this standard license to your work will ensure your right to make your work freely and openly available. Summary of the Creative Commons Attribution License You are free
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