Waves in a Spatial Queue

References

• R. A. Arratia. Coalescing Brownian motions on the line. PhD thesis, University of Wisconsin–Madison 1979. MR2630231Google Scholar
• P. Billingsley. Convergence of probability measures. John Wiley & Sons, Inc., New York-London-Sydney 1968. MR0233396Google Scholar
• M. Blank. Metric properties of discrete time exclusion type processes in continuum. J. Stat. Phys., 140(1):170–197, 2010. MR2651444Google Scholar
• A. Borodin, P. L. Ferrari, M. Prähofer, and Tomohiro Sasamoto. Fluctuation properties of the TASEP with periodic initial configuration. J. Stat. Phys., 129(5–6):1055–1080, 2007. MR2363389Google Scholar
• D. Bullock, R. Haseman, J. Wasson, and R. Spitler. Automated measurement of wait times at airport security. Transportation Research Record: Journal of the Transportation Research Board, 2177:60–68, 2010.Google Scholar
• D. J. Daley and D. Vere-Jones. An introduction to the theory of point processes. Vol. II. Probability and its Applications (New York). Springer, New York, second edition 2008. MR2371524Google Scholar
• L. Gray and D. Griffeath. The ergodic theory of traffic jams. J. Statist. Phys., 105(3–4):413–452, 2001. MR1871652Google Scholar
• L. Kleinrock. Queueing Systems. Volume 1: Theory. Wiley-Interscience, 1975. MR1383820Google Scholar
• E. Schertzer, R. Sun, and J. M. Swart. The Brownian web, the Brownian net, and their universality. ArXiv 1506.00724, June 2015. MR2712322Google Scholar
• B. Tóth and W. Werner. The true self-repelling motion. Probab. Theory Related Fields, 111(3):375–452, 1998. MR1640799Google Scholar
• R. Tribe, S. K. Yip, and O. Zaboronski. One dimensional annihilating and coalescing particle systems as extended Pfaffian point processes. Electron. Commun. Probab., 17(40):7, 2012. MR2981896Google Scholar
• R. Tribe and O. Zaboronski. Pfaffian formulae for one dimensional coalescing and annihilating systems. Electron. J. Probab., 16(76):2080–2103, 2011. MR2851057Google Scholar