A fredholm determinant representation in ASEP

Journal of Statistical Physics

Volumn 132, Issue 2, 2008, Pages 291-300

  Tracy, Craig A ^a   Widom, Harold ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Asymmetric simple exclusion process; Fredholm determinants; Totally asymmetric simple exclusion process

Indexed keywords

EID: 46349105749     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10955-008-9562-7     Document Type: Article

References (12)

1. Balázs, M., Seppäläinen, T.: Order of current variance and diffusivity in the asymmetric simple exclusion process. Preprint, arXiv:0608400 (2006)
2. Johansson, K.: Shape fluctuations and random matrices. Commun. Math. Phys. 209, 437-476 (2000)
3. Liggett, T.M.: Interacting Particle Systems. Springer, Berlin (2005). (Reprint of the 1985 original)
4. Liggett, T.M.: Stochastic Interacting Systems: Contact, Voter and Exclusion Processes. Springer, Berlin (1999)
5. Macdonald, I.G.: Symmetric Functions and Hall Polynomials. Clarendon Press, Oxford (1995)
6. Prähofer, M., Spohn, H.: Current fluctuations for the totally asymmetric simple exclusion process. In and out of equilibrium. Prog. Probab. 51, 185-204 (2000)
7. 1/3 Superdiffusivity of finite-range asymmetric exclusion processes on Z. Commun. Math. Phys. 273, 379-394 (2007)
8. Schütz, G.M.: Exact solution of the master equation for the asymmetric exclusion process. J. Stat. Phys. 88, 427-445 (1997)
9. Seppäläinen, T.: Directed random growth models on the plane. Preprint, arXiv:0708.2721 (2007)
10. Spitzer, F.: Interaction of Markov processes. Adv. Math. 5, 246-290 (1970)
11. Spohn, H.: Exact solutions for KPZ-type growth processes, random matrices, and equilibrium shapes of crystals. Physica A 369, 71-99 (2006)
12. Tracy, C.A., Widom, H.: Integral formulas for the asymmetric simple exclusion process. Commun. Math. Phys. 279, 815-844 (2008)