An overview on large deviations of the empirical measure of interacting particle systems

C. Landim

Annales de l'I.H.P. Physique théorique (1991)

  • Volume: 55, Issue: 2, page 615-635
  • ISSN: 0246-0211

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Landim, C.. "An overview on large deviations of the empirical measure of interacting particle systems." Annales de l'I.H.P. Physique théorique 55.2 (1991): 615-635. <http://eudml.org/doc/76544>.

@article{Landim1991,
author = {Landim, C.},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {large deviations; empirical measure; interacting particle systems; Glauber dynamic},
language = {eng},
number = {2},
pages = {615-635},
publisher = {Gauthier-Villars},
title = {An overview on large deviations of the empirical measure of interacting particle systems},
url = {http://eudml.org/doc/76544},
volume = {55},
year = {1991},
}

TY - JOUR
AU - Landim, C.
TI - An overview on large deviations of the empirical measure of interacting particle systems
JO - Annales de l'I.H.P. Physique théorique
PY - 1991
PB - Gauthier-Villars
VL - 55
IS - 2
SP - 615
EP - 635
LA - eng
KW - large deviations; empirical measure; interacting particle systems; Glauber dynamic
UR - http://eudml.org/doc/76544
ER -

References

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  2. [DV1] M.D. Donsker and S.R.S. Varadhan, Asymptotic Evaluation of Certain Markov Process Expectations for Large Time I, Comm. Pure Appl. Math., Vol. 28, 1975, pp. 1-49. Zbl0323.60069MR386024
  3. [DV2] M.D. Donsker and S.R.S. Varadhan, Asymptotic Evaluation of Certain Markov Process Expectations for Large Time II, Comm. Pure Appl. Math., Vol. 28, 1975, pp. 279-303. Zbl0348.60031
  4. [DV3] M.D. Donsker and S.R.S. Varadhan, Asymptotic Evaluation of Certain Markov Process Expectations for Large Time III, Comm. Pure Appl. Math., Vol. 29, 1976, pp. 389-463. Zbl0348.60032MR428471
  5. [GPV] M.Z. Guo, G.C. Papanicolau and S.R.S. Varadhan, Non Linear Diffusion Limit for a System with Nearest Neighbor Interactions, Comm. Math. Phys., Vol. 118, 1988, pp. 31-59. Zbl0652.60107MR954674
  6. [J] G. Jona-Lasinio, Stochastic Reaction Diffusion Equations and Interacting Particle Systems, These proceedings. Zbl0741.60110
  7. [JLV] G. Jona-Lasinio, C. Landim and M.E. Vares, in preparation. 
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  9. [K] T.G. Kurtz, Approximation of Population Processes, CBMS-NSF Regional Conference, Ser. Appl. Math., Vol. 36, 1981. Zbl0465.60078MR610982
  10. [L] C. Landim, Occupation Time Large Deviations of the Symmetric Simple Exclusion Process, preprint, 1990. MR1143419
  11. [O] K. Oelschläger, A Law of Large Numbers for Moderately Interacting Diffusion Processes, Z. Wahrsch. Gebiete, Vol. 69, 1985, pp. 279-322. Zbl0549.60071MR779460
  12. [S] Sion, On General Minimax Theorems, Pac. J. Math., Vol. 8, 1958, pp. 171-176. Zbl0163.38203MR97026
  13. [V] S.R.S. Varadhan, Large Deviations and Applications, CBMS-NSF Regional Conference, Ser. Appl. Math., Vol. 46, 1984. Zbl0549.60023MR758258

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