Formulas for joint probabilities for the asymmetric simple exclusion process

In earlier work, the authors [Tracy, C. A. and Widom, H., “Integral formulas for the asymmetric simple exclusion process,” Commun. Math. Phys. 279, 815 (2008)] obtained integral formulas for probabilities for a single particle in the asymmetric simple exclusion process. Here, formulas are obtained f...

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Veröffentlicht in:Journal of mathematical physics 2010-06, Vol.51 (6), p.063302-063302-10
Hauptverfasser: Tracy, Craig A., Widom, Harold
Format: Artikel
Sprache:eng
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Zusammenfassung:In earlier work, the authors [Tracy, C. A. and Widom, H., “Integral formulas for the asymmetric simple exclusion process,” Commun. Math. Phys. 279, 815 (2008)] obtained integral formulas for probabilities for a single particle in the asymmetric simple exclusion process. Here, formulas are obtained for joint probabilities for several particles. In the case of a single particle, the derivation here is simpler than the one in the earlier work for one of its main results.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.3431977