Probability estimates for symmetric simple exclusion random walks

A. De Masi; E. Presutti

Annales de l'I.H.P. Probabilités et statistiques (1983)

  • Volume: 19, Issue: 1, page 71-85
  • ISSN: 0246-0203

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De Masi, A., and Presutti, E.. "Probability estimates for symmetric simple exclusion random walks." Annales de l'I.H.P. Probabilités et statistiques 19.1 (1983): 71-85. <http://eudml.org/doc/77200>.

@article{DeMasi1983,
author = {De Masi, A., Presutti, E.},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {interacting by simple exclusion; coupling},
language = {eng},
number = {1},
pages = {71-85},
publisher = {Gauthier-Villars},
title = {Probability estimates for symmetric simple exclusion random walks},
url = {http://eudml.org/doc/77200},
volume = {19},
year = {1983},
}

TY - JOUR
AU - De Masi, A.
AU - Presutti, E.
TI - Probability estimates for symmetric simple exclusion random walks
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1983
PB - Gauthier-Villars
VL - 19
IS - 1
SP - 71
EP - 85
LA - eng
KW - interacting by simple exclusion; coupling
UR - http://eudml.org/doc/77200
ER -

References

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  1. [1] F. Bertein, A. Galves, Comportement asymptotique de deux marches aléatoires sur Z qui interagissent par exclusion. C. R. Acad. Sc. Paris A, t. 285, 1977, p. 681-683. Zbl0373.60091MR464438
  2. [2] P. Billingsley, Convergence of probability measures. Wiley and Sons, 1968. Zbl0172.21201MR233396
  3. [3] L. Breiman, Probability, Addison, Wesley, 1968. Zbl0174.48801MR229267
  4. [4] A. Galves, P. Ferrari, E. Presutti, Closeness between a simple exclusion process and a systems of independent random walks. Applications. Nota interna n° 12/81dell'Istituto Matematico, Università dell'Aquila. 
  5. [5] A. Galves, C. Kipnis, C. Marchioro, E. Presutti, Non equilibrium measures which exhibit a temperature gradient : study of a model. In press on Commun. Math. Phys. Zbl0465.60089MR630334
  6. [6] T. Liggett, The stochastic evolution of infinite systems of interacting particles. Lectures Notes in Mathematics, t. 598, 1976, p. 188-248, Springer-Verlag. Zbl0363.60109MR458647
  7. [7] Yu.V. Prohorov, Yu.A. Rozanov, Probability theory, Addison, Wesley, 1968. 
  8. [8] R. Rebolledo, La méthode des martingales appliquées à la convergence en loi des processus. Mémoires de la Société Mathématique de France (in press). Zbl0425.60036
  9. [9] F. Spitzer, Principles of random walk. Springer Verlag, 1976. Zbl0359.60003MR388547
  10. [10] A. de Masi, N. Ianiro, E. Presutti, Small deviations from local equilibrium for a process which exhibits hydrodynamical behavior. I. To appear in J. Stat. Phys. A. De Masi, P. Ferrari, N. Ianiro, E. Presutti, Small deviations from local equilibrium for a process which exhibits hydrodynamical behavior. II. To appear in J. Stat. Phys. MR676929

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