Grandes déviations spatiales pour un système gradient stochastique infini-dimensionnel

Sylvie Roelly; Hans Zessin

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1996)

  • Volume: 23, Issue: 2, page 193-209
  • ISSN: 0391-173X

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Roelly, Sylvie, and Zessin, Hans. "Grandes déviations spatiales pour un système gradient stochastique infini-dimensionnel." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 23.2 (1996): 193-209. <http://eudml.org/doc/84229>.

@article{Roelly1996,
author = {Roelly, Sylvie, Zessin, Hans},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {large deviations; stochastic gradient system; Gibbs measure},
language = {fre},
number = {2},
pages = {193-209},
publisher = {Scuola normale superiore},
title = {Grandes déviations spatiales pour un système gradient stochastique infini-dimensionnel},
url = {http://eudml.org/doc/84229},
volume = {23},
year = {1996},
}

TY - JOUR
AU - Roelly, Sylvie
AU - Zessin, Hans
TI - Grandes déviations spatiales pour un système gradient stochastique infini-dimensionnel
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1996
PB - Scuola normale superiore
VL - 23
IS - 2
SP - 193
EP - 209
LA - fre
KW - large deviations; stochastic gradient system; Gibbs measure
UR - http://eudml.org/doc/84229
ER -

References

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  1. [CRZ] P. Cattiaux - S. Roelly - H. Zessin, Une approche gibsienne des diffusions browniennes infini-dimensionelles, Probab. Theory Related Fields104 (1996), 147-179. Zbl0838.60068MR1373374
  2. [Co] F. Comets, Grandes déviations pour des champs de Gibbs sur Zd, C. R. Acad. Sci. ParisSér. 1 (Math) 303 (1986), 511-514. Zbl0606.60035MR865873
  3. [Da] P. Dai Pra, Large deviations and stationnary measures for interacting particle systems, Preprint 1992. MR1237166
  4. [De] J.D. Deuschel, Non linear smoothing of infinite dimensional diffusion processes, Stochastics19 (1986), 237-261. Zbl0608.60044MR872463
  5. [FO] H. Föllmer - S. Orey, Large deviations for the empirical field of a Gibbs measure, Ann. Probab.16 (1988), 961-977. Zbl0648.60028MR942749
  6. [G] H.O. Georgii, Gibbs measures and phase transitions, Studies in Math. 9, de Gruyter, BerlinNew York, 1988. Zbl0657.60122MR956646
  7. [01] S. Olla, Large deviations for Gibbs random fields, Probab. Theory Related Fields77 (1988), 343-357. Zbl0621.60031MR931502
  8. [RZ] S. Roelly - H. Zessin, The equivalence of equilibrium principles in Statistical Mechanics and some applications to large particle systems, Exposition Math.11 (1993), 385-405. Zbl0783.60107MR1249162
  9. [SS] T. Shiga - A. Shimizu, Infinite dimensional stochastic differential equations and their applications, J. Math. Kyoto Univ.20 (1980), 395-416. Zbl0462.60061MR591802

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