Fluctuations des temps d'occupation d'un site dans l'exclusion simple symétrique

C. Kipnis

Annales de l'I.H.P. Probabilités et statistiques (1987)

  • Volume: 23, Issue: 1, page 21-35
  • ISSN: 0246-0203

How to cite

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Kipnis, C.. "Fluctuations des temps d'occupation d'un site dans l'exclusion simple symétrique." Annales de l'I.H.P. Probabilités et statistiques 23.1 (1987): 21-35. <http://eudml.org/doc/77290>.

@article{Kipnis1987,
author = {Kipnis, C.},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {infinite particle system; simple symmetric exclusion process; fluctuations of the occupation time; central limit theorem for martingales},
language = {fre},
number = {1},
pages = {21-35},
publisher = {Gauthier-Villars},
title = {Fluctuations des temps d'occupation d'un site dans l'exclusion simple symétrique},
url = {http://eudml.org/doc/77290},
volume = {23},
year = {1987},
}

TY - JOUR
AU - Kipnis, C.
TI - Fluctuations des temps d'occupation d'un site dans l'exclusion simple symétrique
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1987
PB - Gauthier-Villars
VL - 23
IS - 1
SP - 21
EP - 35
LA - fre
KW - infinite particle system; simple symmetric exclusion process; fluctuations of the occupation time; central limit theorem for martingales
UR - http://eudml.org/doc/77290
ER -

References

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  1. [1] R. Arratia, Symmetric exclusions processes: a comparison inequality and a large deviation result. Annals of Prob., t. 13, 1985, p. 53-61. Zbl0558.60075MR770627
  2. [2] C. Cocozza, C. Kipnis, Existence de processus Markoviens pour des systèmes infinis de particules. Ann. I. H. P., t. 13, 1977, p. 239-258. Zbl0384.60079MR488376
  3. [3] W. Feller, An introduction to probability and its applications. Vol. 2 (2nd edition), J. Wiley and Sons, 1966, New York. Zbl0138.10207MR210154
  4. [4] M.I. Gordin, B.A. Lifsic, The central limit theorem for stationary Markov processes, Sov. Math. Dokl., t. 19, 1978, p. 392-394. Zbl0395.60057MR501277
  5. [5] C. Kipnis, S.R.S. Varadhan, Central limit theorem for additive functionals of reversible Markov processes, Comm. Math. Phys., t. 104, 1986, p. 1-19. Zbl0588.60058MR834478
  6. [6] T. Liggett, Infinite particle systems, Grundlehren der Math., n° 276, 1985, Springer-Verlag. Zbl0559.60078
  7. [7] S. Port, Equilibrium processes, Trans. Amer. Math. Soc., t. 124, 1966, p. 168-184. Zbl0143.19301MR198546
  8. [8] F. Spitzer, Principles of random walk, 1964, Van NostrandPrinceton. Zbl0119.34304MR171290
  9. [9] H. Van Beijeren, R. Kutner, H. Spohn, Excess noise for driven diffusive systems, Phys. Rev. Let., t. 54, 1985, p. 2026. MR789756

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