Grandes déviations pour un système hydrodynamique asymétrique de particules indépendantes

C. Kipnis; C. Léonard

Annales de l'I.H.P. Probabilités et statistiques (1995)

  • Volume: 31, Issue: 1, page 223-248
  • ISSN: 0246-0203

How to cite

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Kipnis, C., and Léonard, C.. "Grandes déviations pour un système hydrodynamique asymétrique de particules indépendantes." Annales de l'I.H.P. Probabilités et statistiques 31.1 (1995): 223-248. <http://eudml.org/doc/77503>.

@article{Kipnis1995,
author = {Kipnis, C., Léonard, C.},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {random walks; random measures; large deviation principles; hydrodynamical limit; measure-valued process; Skorokhod space; convex analysis},
language = {fre},
number = {1},
pages = {223-248},
publisher = {Gauthier-Villars},
title = {Grandes déviations pour un système hydrodynamique asymétrique de particules indépendantes},
url = {http://eudml.org/doc/77503},
volume = {31},
year = {1995},
}

TY - JOUR
AU - Kipnis, C.
AU - Léonard, C.
TI - Grandes déviations pour un système hydrodynamique asymétrique de particules indépendantes
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1995
PB - Gauthier-Villars
VL - 31
IS - 1
SP - 223
EP - 248
LA - fre
KW - random walks; random measures; large deviation principles; hydrodynamical limit; measure-valued process; Skorokhod space; convex analysis
UR - http://eudml.org/doc/77503
ER -

References

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  1. [DoV] M.D. Donsker and S.R.S. Varadhan, Large Deviations from a Hydrodynamical Scaling Limit, Comm. Pure Appl. Math., Vol. 42, 1989, p. 247-270. Zbl0780.60027MR982350
  2. [DZe] A. Dembo and O. Zeitouni, Large Deviations Techniques and Applications, 1993, Jones and Bartlett Publishers. Zbl0793.60030MR1202429
  3. [EkT] I. Ekeland and R. Temam, Convex analysis and variational problems, 1976, North-Holland, Amsterdam. Zbl0322.90046MR463994
  4. [Jak] A. Jakubowski, On the Skorokhod topology, Ann. Inst. Henri Poincaré, Vol. B22, 1986, p. 263-285. Zbl0609.60005MR871083
  5. [JLV] G. Jona-Lasinio, C. Landim and M.E. Vares, Large deviations for a reaction diffusion model, Prob. Th. Rel. Fields, Vol. 97, 1993, p. 339-361. Zbl0792.60096MR1245249
  6. [KiO] C. Kipnis and S. Olla, Large deviations from the hydrodynamical limit for a system of independent Brownian particles, Stochastics and Stoch. Rep., Vol. 33, 1990, p. 17-25. Zbl0734.60099MR1079929
  7. [KLé] C. Kipnis et C. Léonard, Grandes déviations pour un système hydrodynamique asymétrique de particules indépendantes. Version détaillée, Prépublications de l'Université d'Orsay, 1994. 
  8. [KOV] C. Kipnis, S. Olla and S.R.S. Varadhan, Hydrodynamics and Large Deviation for Simple Exclusion Process, Comm. Pure and Appl. Math., Vol. 42, 1989, p. 115-137. Zbl0644.76001MR978701
  9. [KRu] M.A. Krasnosel'skii and Ya.B. Rutickii, Convexfunctions and Orlicz spaces, 1961, P. Noordhoff Ltd. 
  10. [Lé1] C. Léonard, Large deviations for particle systems associated with spatially homogeneous Boltzmann type equations, to appear in Prob. Th. Rel. Fields. Zbl0839.60031
  11. [Lé2] C. Léonard, Large deviations for small random perturbations with jumps, 1994, en préparation. 
  12. [Nev] J. Neveu, Martingales à temps discret, 1972, Masson. MR402914

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