Tracy, Craig A.; Widom, Harold Total current fluctuations in the asymmetric simple exclusion process. (English) Zbl 1241.82051 J. Math. Phys. 50, No. 9, 095204, 4 p. (2009). Summary: A limit theorem for the total current in the asymmetric simple exclusion process (ASEP) with step initial condition is proven. This extends the result of K. Johansson [Commun. Math. Phys. 209, No. 2, 437–476 (2000; Zbl 0969.15008)] on TASEP to ASEP. See the authors, Commun. Math. Phys. 290, No. 1, 129–154 (2009; Zbl 1184.60036). {©2009 American Institute of Physics} Cited in 17 Documents MSC: 82C22 Interacting particle systems in time-dependent statistical mechanics 60F05 Central limit and other weak theorems 60K35 Interacting random processes; statistical mechanics type models; percolation theory Keywords:fluctuations; Markov processes; probability Citations:Zbl 0969.15008; Zbl 1184.60036 PDF BibTeX XML Cite \textit{C. A. Tracy} and \textit{H. Widom}, J. Math. Phys. 50, No. 9, 095204, 4 p. (2009; Zbl 1241.82051) Full Text: DOI arXiv References: [1] Balázs M., ALEA Lat. Am. J. Probab. Math. Stat. 6 pp 1– (2009) [2] DOI: 10.1088/0305-4470/39/41/S03 · Zbl 1129.82028 [3] DOI: 10.1007/s002200050027 · Zbl 0969.15008 [4] DOI: 10.1103/PhysRevLett.56.889 · Zbl 1101.82329 [5] Liggett T. M., Interacting Particle Systems (2005) [6] DOI: 10.1007/978-3-662-03990-8 [7] DOI: 10.1007/s00220-007-0242-2 · Zbl 1127.60091 [8] DOI: 10.1070/RM2000v055n05ABEH000321 · Zbl 0991.60038 [9] DOI: 10.1016/0001-8708(70)90034-4 · Zbl 0312.60060 [10] DOI: 10.1016/j.physa.2006.04.006 [11] DOI: 10.1007/BF02100489 · Zbl 0789.35152 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.