Mesures invariantes pour les systèmes à une infinité de particules linéaires à valeurs dans [ 0 , ∞ [ s

Ellen Saada

Annales de l'I.H.P. Probabilités et statistiques (1988)

  • Volume: 24, Issue: 4, page 427-437
  • ISSN: 0246-0203

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Saada, Ellen. "Mesures invariantes pour les systèmes à une infinité de particules linéaires à valeurs dans $[0, \infty [^s$." Annales de l'I.H.P. Probabilités et statistiques 24.4 (1988): 427-437. <http://eudml.org/doc/77334>.

@article{Saada1988,
author = {Saada, Ellen},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {linear infinite particle systems; extremal invariant and translation invariant probability measures; recurrence; symmetric simple exclusion process; irreducible},
language = {fre},
number = {4},
pages = {427-437},
publisher = {Gauthier-Villars},
title = {Mesures invariantes pour les systèmes à une infinité de particules linéaires à valeurs dans $[0, \infty [^s$},
url = {http://eudml.org/doc/77334},
volume = {24},
year = {1988},
}

TY - JOUR
AU - Saada, Ellen
TI - Mesures invariantes pour les systèmes à une infinité de particules linéaires à valeurs dans $[0, \infty [^s$
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1988
PB - Gauthier-Villars
VL - 24
IS - 4
SP - 427
EP - 437
LA - fre
KW - linear infinite particle systems; extremal invariant and translation invariant probability measures; recurrence; symmetric simple exclusion process; irreducible
UR - http://eudml.org/doc/77334
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, Invariant Measures and Long Time Behavior of the Smoothing Process, Ann. Probab., vol. 13, 1985, p. 62-71. Zbl0558.60076MR770628
  3. [3] R. Holley et T.M. Liggett, Generalized Potlatch and Smoothing Processes, Z. Wahrsch. Verw. Gebiete, vol. 55, 1981, p. 165-195. Zbl0441.60096MR608015
  4. [4] J.G. Kemeny, J.L. Snell et A.W. Knapp, Denumerable Markov Chains, 2nd edition, Springer Verlag, New York, 1976. Zbl0348.60090MR407981
  5. [5] U. Krengel, Ergodic Theorems, de Gruyter Studies in Mathematics, vol. 6, 1985. Zbl0575.28009MR797411
  6. [6] T.M. Liggett, Interacting Particle Systems, Springer Verlag, New York, 1985. Zbl0559.60078MR776231
  7. [7] T.M. Liggett et F. Spitzer, Ergodic Theorems for Coupled Random Walks and Other Systems With Locally Interacting Components, Z. Wahrsch. Verw. Gebiete, vol. 56, 1981, p. 443-468. Zbl0444.60096MR621659
  8. [8] F. Spitzer, Infinite Systems With Locally Interacting Components, Ann. Probab., vol. 9, 1981, p. 349-364. Zbl0462.60096MR614623

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