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May 2005 The motion of a second class particle for the tasep starting from a decreasing shock profile
Thomas Mountford, Hervé Guiol
Ann. Appl. Probab. 15(2): 1227-1259 (May 2005). DOI: 10.1214/105051605000000151

Abstract

We prove a strong law of large numbers for the location of the second class particle in a totally asymmetric exclusion process when the process is started initially from a decreasing shock. This completes a study initiated in Ferrari and Kipnis [Ann. Inst. H. Poincaré Probab. Statist. 13 (1995) 143–154].

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Thomas Mountford. Hervé Guiol. "The motion of a second class particle for the tasep starting from a decreasing shock profile." Ann. Appl. Probab. 15 (2) 1227 - 1259, May 2005. https://doi.org/10.1214/105051605000000151

Information

Published: May 2005
First available in Project Euclid: 3 May 2005

zbMATH: 1069.60091
MathSciNet: MR2134103
Digital Object Identifier: 10.1214/105051605000000151

Subjects:
Primary: 60K35
Secondary: 82C22

Keywords: Concentration inequalities , Last passage percolation , Rarefaction fan , Second class particle , Seppäläinen’s variational formula , Totally asymmetric exclusion

Rights: Copyright © 2005 Institute of Mathematical Statistics

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Vol.15 • No. 2 • May 2005
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