An equivalence of H-1 norms for the simple exclusion process

Annals of Probability

Volumn 31, Issue 1, 2003, Pages 35-62

  Sethuraman, Sunder ^a  

^a IOWA STATE UNIVERSITY   (United States)

Author keywords

Simple exclusion process H 1; Variance norms

Indexed keywords

EID: 0037251442     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/aop/1046294303     Document Type: Article

References (17)

1. ANDJEL, E. D. (1982). Invariant measures for the zero range process. Ann. Probab. 10 525-547.
2. DE MASI, A. and FERRARI, P. (1985). Self-diffusion in one-dimensional lattice gases in the presence of an external field. J. Statist. Phys. 38 603-613.
3. FERRARI, P. and FONTES, L. (1994). Current fluctuations for the asymmetric simple exclusion process. Ann. Probab. 22 820-832.
4. KIPNIS, C. (1986). Central limit theorems for infinite series of queues and applications to simple exclusion. Ann. Probab. 14 397-408.
5. KIPNIS, C. and LANDIM, C. (1999). Scaling Limits of Interacting Particle Systems. Springer, New York.
6. KIPNIS, C., LANDIM, C. and OLLA, S. (1994). Hydrodynamical limit for a nongradient system: The generalized symmetric simple exclusion process. Comm. Pure Appl. Math. 47 1475-1545.
7. KIPNIS, C. and VARADHAN, S. R. S. (1986). Central limit theorem for additive functionals of reversible Markov processes. Comm. Math. Phys. 104 1-19.
8. LANDIM, C. and YAU, H. T. (1997). Fluctuation-dissipation equation of asymmetric simple exclusion processes. Probab. Theory Related Fields 108 321-356.
9. LIGGETT, T. M. (1985). Interacting Particle Systems. Springer, New York.
10. LIGGETT, T. M. (1999). Stochastic Particle Systems: Contact, Exclusion and Voter Models. Springer, New York.
11. SAADA, E. (1987). A limit theorem for the position of a tagged particle in a simple exclusion process. Ann. Probab. 15375-381.
12. SEPPÄLÄINEN, T. and SETHURAMAN, S. (2003). Transience of second-class particles and diffusive variance bounds for additive functionals of one dimensional exclusion processes. Ann. Probab. 31 148-169.
13. SETHURAMAN, S. (2000). Central limit theorems for additive functional of the simple exclusion process. Ann. Probab. 28 277-302.
14. SETHURAMAN, S. (2001). On extremal measures for conservative particle systems. Ann. Inst. H. Poincaré Probab. Statist. 37 139-154.
15. SETHURAMAN, S., VARADHAN, S. R. S. and YAU, H. T. (2000). Diffusive limit of a tagged particle in asymmetric simple exclusion processes. Comm. Pure Appl. Math. 53 972-1006.
16. SETHURAMAN, S. and XU, L. (1996). A central limit theorem for reversible exclusion and zero-range particle systems. Ann. Probab. 24 1842-1870.
17. VARADHAN, S. R. S. (1995). Self-diffusion of a tagged particle in equilibrium for asymmetric mean zero random walk with simple exclusion. Ann. Inst. H. Poincaré Probab. Statist. 31 273-285.