Processus de zéro-rangé avec particule marquée

Ellen Saada

Annales de l'I.H.P. Probabilités et statistiques (1990)

  • Volume: 26, Issue: 1, page 5-17
  • ISSN: 0246-0203

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Saada, Ellen. "Processus de zéro-rangé avec particule marquée." Annales de l'I.H.P. Probabilités et statistiques 26.1 (1990): 5-17. <http://eudml.org/doc/77375>.

@article{Saada1990,
author = {Saada, Ellen},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {zero-range process; invariant geometric product measure; strong law of large numbers; central limit theorem},
language = {fre},
number = {1},
pages = {5-17},
publisher = {Gauthier-Villars},
title = {Processus de zéro-rangé avec particule marquée},
url = {http://eudml.org/doc/77375},
volume = {26},
year = {1990},
}

TY - JOUR
AU - Saada, Ellen
TI - Processus de zéro-rangé avec particule marquée
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1990
PB - Gauthier-Villars
VL - 26
IS - 1
SP - 5
EP - 17
LA - fre
KW - zero-range process; invariant geometric product measure; strong law of large numbers; central limit theorem
UR - http://eudml.org/doc/77375
ER -

References

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  1. [1] E.D. Andjel, Invariant measures for the zero-range process, Ann. Probab., vol. 10, 1982, p. 525-547. Zbl0492.60096MR659526
  2. [2] E.D. Andjel et C. Kipnis, Derivation of the hydrodynamical equation for the zero-range interaction process. Ann. Probab., vol. 12, 1984, p. 325-334. Zbl0536.60097MR735841
  3. [3] C. Cocozza et C. Kipnis, Processus de vie et de mort sur R avec interaction selon les particules les plus proches, Zeit. Wahrsch. Verw. Geb., vol. 51, 1980, p. 123-132. Zbl0428.60090MR566311
  4. [4] C. Cocozza et M. Roussignol, Unicité d'un processus de naissance et mort sur la droite réelle, Ann. Inst. H. Poincaré Sect. B, vol. 15, 1979, p. 93-105. Zbl0405.60082
  5. [5] A. De Masi, C. Kipnis, E. Presutti et E. Saada, Microscopic structure at the shock in the asymmetric simple exclusion, Stochastics, vol. 27, 1989, p. 151-165. Zbl0679.60094MR1008228
  6. [6] J. Gartner et E. Presutti, Shock fluctuations in a particle system, Preprint, 1989. Zbl0705.76054
  7. [7] T.M. Liggett, Interacting particle systems, Springer, Berlin, 1985. Zbl0559.60078MR776231
  8. [8] G. Papanicolaou et S.R.S. Varadhan, Diffusions with random coefficients. Essays in honor of C.R. Rao, North-Holland, 1982. Zbl0486.60076MR659505
  9. [9] M. Rosenblatt, Transition probability operators, Proc. Fifth Berkeley Symp, Math. Statist. Prob., vol. 2, 1967, p.473-483. Zbl0222.60042MR212877
  10. [10] E. Saada, A limit theorem for the position of a tagged particle in a simple exclusion process, Ann. Probab., vol. 15, 1987, p. 375-381. Zbl0617.60096MR877609
  11. [11] F. Spitzer, Interaction of Markov processes, Adv. Math., vol. 5, 1970, p. 247-290. Zbl0312.60060MR268959
  12. [12] M. Yor, Sur les intégrales stochastiques optionnelles et une suite remarquable de formules exponentielles, Séminaire de Proba.X, L.N. n° 511, 1976, p.481-500, Springer. Zbl0393.60057MR440699

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