Asymptotics in ASEP with step initial condition

Communications in Mathematical Physics

Volumn 290, Issue 1, 2009, Pages 129-154

  Tracy, Craig A ^a   Widom, Harold ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 70349658863     PISSN: 00103616     EISSN: 14320916     Source Type: Journal    
DOI: 10.1007/s00220-009-0761-0     Document Type: Article

References (8)

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2. Gohberg, I.C., Krein, M.G.: Introduction to the Theory of Linear Nonselfadjoint Operators. Transl. Amer. Math. Soc. 13, Providence, RI: Amer. Math. Soc., 1969.
3. Liggett, T.M.: Interacting Particle Systems. [Reprint of the 1985 original.] Berlin: Springer-Verlag, 2005.
4. Johansson K.: Shape fluctuations and random matrices. Commun. Math. Phys. 209, 437-476 (2000).
5. Kardar M., Parisi G., Zhang Y.-C.: Dynamic scaling of growing interfaces. Phys. Rev. Lett. 56, 889-892 (1986).
6. 1/3 superdiffusivity of finite-range asymmetric exclusion processes on Z. Commun. Math. Phys. 273, 379-394 (2007).
7. Tracy C.A., Widom H.: Level-spacing distributions and the Airy kernel. Commun. Math. Phys. 159, 151-174 (1994).
8. Tracy C.A., Widom H.: A Fredholm determinant representation in ASEP. J. Stat. Phys. 132, 291-300 (2008).