Diffusive limit of a tagged particle in asymmetric simple exclusion processes

Communications on Pure and Applied Mathematics

Volumn 53, Issue 8, 2000, Pages 972-1006

  Sethuraman, Sunder ^a   Varadhan, S R S ^b   Yau, Horng Tzer ^b  

^a IOWA STATE UNIVERSITY   (United States)

^b NEW YORK UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034408939     PISSN: 00103640     EISSN: None     Source Type: Journal    
DOI: 10.1002/1097-0312(200008)53:8<972::aid-cpa2>3.0.co;2-%23     Document Type: Article

References (11)

1. Arratia, R. The motion of a tagged particle in the simple symmetric exclusion system on ℤ. Ann. Probab. 11 (1983), no. 2, 362-373.
2. Esposito, R.; Marra, R.; Yau, H. T. Navier-Stokes equations for stochastic particle systems on the lattice. Comm. Math. Phys. 182 (1996), no. 2, 395-456.
3. Helland, I. S. Central limit theorems for martingales with discrete or continuous time. Scand. J. Statist. 9 (1982), no. 2, 79-94.
4. Jensen, L.; Yau, H.-T. Hydrodynamical scaling limits of simple exclusion models. Probability theory and applications (Princeton, N.J., 1996), 167-225. IAS/Park City Math. Ser., 6. Amer. Math. Soc., Providence, R.I., 1999.
5. Kipnis, C. Central limit theorems for infinite series of queues and applications to simple exclusion. Ann. Probab. 14 (1986), no. 2, 397-408.
6. Kipnis, C.; Varadhan, S. R. S. Central limit theorem for additive functionals of reversible Markov processes and applications to simple exclusions. Comm. Math. Phys. 104 (1986), no. 1, 1-19.
7. Landim, C.; Yau, H. T. Fluctuation-dissipation equation of asymmetric simple exclusion processes. Probab. Theory Related Fields 108 (1997), no. 3, 321-356.
8. Liggett, T. M. Interacting particle systems. Grundlehren der Mathematischen Wissenschaften, 276. Springer, New York-Berlin, 1985.
9. Saada, E. A limit theorem for the position of a tagged particle in a simple exclusion process. Ann. Probab. 15 (1987), no. 1, 375-381.
10. Varadhan, S. R. S. Regularity of self-diffusion coefficient. The Dynkin Festschrift, 387-397. Progr. Probab., 34. Birkhäuser Boston, Boston, 1994.
11. Varadhan, S. R. S. Self-diffusion of a tagged particle in equilibrium for asymmetric mean zero random walk with simple exclusion. Ann. Inst. H. Poincaré Probab. Statist. 31 (1995), no. 1, 273-285.