| Título: | The Jammed Phase of the Biham-Middleton-Levine Traffic Model |
| Autores: |
Angel, Omer; University of British Columbia, Canada Holroyd, Alexander E.; University of British Columbia, Canada Martin, James B.; CNRS and Université Paris 7, France |
| Fecha: | 2005-01-01 |
| Publicador: | Electronic communications in probability |
| Fuente: |
 |
| Tipo: |
Peer-reviewed Article |
| Tema: | No aplica |
| Descripción: | 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. |
| Idioma: | No aplica |
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