The stationary measure of a 2-type totally asymmetric exclusion process

Journal of Combinatorial Theory. Series A

Volumn 113, Issue 4, 2006, Pages 625-635

  Angel, Omer ^a  

^a UNIVERSITY OF BRITISH COLUMBIA   (Canada)

Author keywords

Exclusion process

Indexed keywords

EID: 33645545911     PISSN: 00973165     EISSN: 10960899     Source Type: Journal    
DOI: 10.1016/j.jcta.2005.05.004     Document Type: Article

References (12)

1. I. Benjamini, N. Berger, C. Hoffman, E. Mossel, Mixing times of the biased card shuffling and the asymmetric exclusion process, Trans. Amer. Math. Soc. 357 (8) (2005) 3013-3029.
2. P.J. Burke The output of a queueing system Oper. Res. 4 6 1956 699-704
3. B. Derrida S. Janowsky J. Lebowitz E. Speer Exact solution of the totally asymmetric simple exclusion process: Shock profiles J. Stat. Phys. 73 1993 833-874
4. E. Duchi, G. Schaeffer, A combinatorial approach to jumping particles, J. Comb. Theory A 110 (1) (2005) 1-29.
5. P. Ferrari L. Fontes Y. Kohayakawa Invariant measures for a two species asymmetric process J. Stat. Phys. 76 5 1994 1153-1177
6. P. Ferrari C. Kipnis E. Saada Microscopic structure of traveling waves in the asymmetric simple exclusion process Ann. Probab. 19 1991 226-244
7. P. Ferrari, J. Martin, Stationary distributions of multi-type totally asymmetric exclusion processes, 2005.
8. J.M. Harrison Brownian Motion and Stochastic Flow Systems 1985 Wiley New York
9. T. Liggett, Interacting particle systems, Fundamental Principles of Mathematical Sciences, vol. 276, Springer, New York, 1985.
10. T. Liggett, Stochastic interacting systems: Contact, voter and exclusion processes, Fundamental Principles of Mathematical Sciences, vol. 324, Springer, New York, 1999.
11. N. O'Connell M. Yor Brownian analogues of burke's theorem Stoch. Proc. Appl. 96 2 2001 285-304
12. E.R. Speer, The two species asymmetric simple exclusion process, in: A.V.M. Fannes, C. Maes (Eds.), Micro, Meso, and Macroscopic Approaches in Physics, Proceedings of the NATO AR Workshop On Three Levels, Leuven, July 1993, 1994.