Regularity properties of the diffusion coefficient for a mean zero exclusion process
Annales de l'I.H.P. Probabilités et statistiques, Tome 41 (2005) no. 1, pp. 1-33.
@article{AIHPB_2005__41_1_1_0,
     author = {Sued, M.},
     title = {Regularity properties of the diffusion coefficient for a mean zero exclusion process},
     journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
     pages = {1--33},
     publisher = {Elsevier},
     volume = {41},
     number = {1},
     year = {2005},
     doi = {10.1016/j.anihpb.2003.05.001},
     mrnumber = {2110444},
     zbl = {1073.60098},
     language = {en},
     url = {http://archive.numdam.org/articles/10.1016/j.anihpb.2003.05.001/}
}
TY  - JOUR
AU  - Sued, M.
TI  - Regularity properties of the diffusion coefficient for a mean zero exclusion process
JO  - Annales de l'I.H.P. Probabilités et statistiques
PY  - 2005
SP  - 1
EP  - 33
VL  - 41
IS  - 1
PB  - Elsevier
UR  - http://archive.numdam.org/articles/10.1016/j.anihpb.2003.05.001/
DO  - 10.1016/j.anihpb.2003.05.001
LA  - en
ID  - AIHPB_2005__41_1_1_0
ER  - 
%0 Journal Article
%A Sued, M.
%T Regularity properties of the diffusion coefficient for a mean zero exclusion process
%J Annales de l'I.H.P. Probabilités et statistiques
%D 2005
%P 1-33
%V 41
%N 1
%I Elsevier
%U http://archive.numdam.org/articles/10.1016/j.anihpb.2003.05.001/
%R 10.1016/j.anihpb.2003.05.001
%G en
%F AIHPB_2005__41_1_1_0
Sued, M. Regularity properties of the diffusion coefficient for a mean zero exclusion process. Annales de l'I.H.P. Probabilités et statistiques, Tome 41 (2005) no. 1, pp. 1-33. doi : 10.1016/j.anihpb.2003.05.001. http://archive.numdam.org/articles/10.1016/j.anihpb.2003.05.001/

[1] C. Bernardin, Regularity of the diffusion coefficient for lattice gas reversible under Bernoulli measures, Stochastic Process. Appl. 101 (1) (2002) 43-68. | MR | Zbl

[2] C. Kipnis, C. Landim, Scaling Limits of Interacting Particle Systems, Grundlehren der Mathematischen Wissenschaften, vol. 320, Springer-Verlag, Berlin, 1999. | MR | Zbl

[3] K. Komoriya, Hydrodynamic limit for asymmetric mean zero exclusion processes with speed change, Ann. Inst. H. Poincaré Probab. Statist. 34 (6) (1998) 767-797. | Numdam | MR | Zbl

[4] C. Landim, Conservation of local equilibrium for attractive particle systems on Z d , Ann. Probab. 21, 1782-1808. | MR | Zbl

[5] C. Landim, S. Olla, H.T. Yau, Some properties of the diffusion coefficient for asymmetric simple exclusion processes, Ann. Probab. 24 (1996) 1779-1807. | MR | Zbl

[6] C. Landim, S. Olla, S.R.S. Varadhan, Asymptotic behavior of a tagged particle in simple exclusion processes, Bol. Soc. Bras. Mat. 31 (2000) 241-275. | MR | Zbl

[7] C. Landim, S. Olla, S.R.S. Varadhan, On viscosity and fluctuation-dissipation in exclusion processes, preprint. | MR

[8] C. Landim, S. Olla, S.R.S. Varadhan, Symmetric simple exclusion process: regularity of the self-diffusion coefficient, Comm. Math. Phys. 224 (2001) 307-321. | MR | Zbl

[9] C. Landim, H.T. Yau, Fluctuation-dissipation equation of asymmetric simple exclusion process, Probab. Theory Related Fields 108 (1997) 321-356. | MR | Zbl

[10] J. Quastel, Diffusion of color in the simple exclusion process, Comm. Pure Appl. Math. XLV, 623-679. | MR | Zbl

[11] S. Sethuraman, S.R.S. Varadhan, H.T. Yau, Diffusive limit of a tagged particle in asymmetric exclusion process, Comm. Pure Appl. Math. 53 (2000) 972-1006. | MR | Zbl

[12] S.R.S. Varadhan, Non-linear diffusion limit for a system with nearest neighbor interactions II, in: Elworthy K.D., Ikeda N. (Eds.), Asymptotic Problems in Probability Theory, Stochastic Models and Diffusion on Fractals, Pitman Research Notes in Mathematics, vol. 283, Wiley, New York, 1994, pp. 75-128. | MR | Zbl

[13] S.R.S. Varadhan, Selfdiffusion of a tagged particle in equilibrium for asymmetric mean zero random walk with simple exclusion, Ann. Inst. Henri Poincaré 31 (1) (1995) 273-285. | Numdam | MR | Zbl

[14] L. Xu, Diffusion limit for the lattice gas with short range interactions, PhD Thesis, New York University, 1993.

[15] H.T. Yau, Relative entropy and hydrodynamics of Ginzburg-Landau models, Lett. Math. Phys. 22, 63-80. | MR | Zbl

Cité par Sources :