Comportement hydrodynamique et entropie relative des processus de sauts, de naissances et de morts

Mustapha Mourragui

Annales de l'I.H.P. Probabilités et statistiques (1996)

  • Volume: 32, Issue: 3, page 361-385
  • ISSN: 0246-0203

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Mourragui, Mustapha. "Comportement hydrodynamique et entropie relative des processus de sauts, de naissances et de morts." Annales de l'I.H.P. Probabilités et statistiques 32.3 (1996): 361-385. <http://eudml.org/doc/77539>.

@article{Mourragui1996,
author = {Mourragui, Mustapha},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {hydrodynamic limit; relative entropy; particle systems; reaction-diffusion equations},
language = {fre},
number = {3},
pages = {361-385},
publisher = {Gauthier-Villars},
title = {Comportement hydrodynamique et entropie relative des processus de sauts, de naissances et de morts},
url = {http://eudml.org/doc/77539},
volume = {32},
year = {1996},
}

TY - JOUR
AU - Mourragui, Mustapha
TI - Comportement hydrodynamique et entropie relative des processus de sauts, de naissances et de morts
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1996
PB - Gauthier-Villars
VL - 32
IS - 3
SP - 361
EP - 385
LA - fre
KW - hydrodynamic limit; relative entropy; particle systems; reaction-diffusion equations
UR - http://eudml.org/doc/77539
ER -

References

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  1. [1] E.D. Andjel, Invariant measures for the Zero range process, Ann. Probab., Vol. 10, 1982, pp. 525-547. Zbl0492.60096MR659526
  2. [2] P. Diaconis and D. Freedman, A dozen de Finetti-style results in search of a theory, Ann. Inst. Henri. Poincaré, Vol. 23, 1987, pp. 397-423. Zbl0619.60039MR898502
  3. [3] A. De Masi and E. Presutti, Mathematical methods for hydrodynamic limits, Lecture Notes in Math., Vol. 1501, Springer Verlag, 1991. Zbl0754.60122MR1175626
  4. [4] M.Z. Guo, G. Papanicolaou and S.R.S. Varadhan, Nonlinear diffusion limit for a system with nearest neighbor interactions, Comm. Math. Phys., Vol. 118, 1988, pp. 31-59. Zbl0652.60107MR954674
  5. [5] C. Kipnis, S. Olla and S.R.S. Varadhan, Hydrodynamics and Large Deviations for Simple Exclusion Processes, Comm. Pure Appl. Math., Vol. XLII, 1989, pp. 115-137. Zbl0644.76001MR978701
  6. [6] T.M. Liggett, Interacting Particle Systems, Springer Verlag, 1985. Zbl0559.60078MR776231
  7. [7] M. Mourragui, ThèseUniversité de Rouen, 1993. 
  8. [8] M. Mourragui, Limite hydrodynamique des processus de sauts, de naissances et de morts, C. R. Acad. Sci., Vol. 316, 1993. Zbl0774.60073MR1218289
  9. [9] J. Smoller, Shock waves and reaction-diffusion equations, Springer, Berlin, 1982. Zbl0508.35002MR688146
  10. [10] H. Spohn, Large scale dynamics of interacting particles, Texts and monographs in physics, Springer Verlag, 1991. Zbl0742.76002
  11. [11] D.W. Stroock, An introduction to the theory of large deviations, Springer, Berlin, 1984. Zbl0552.60022MR755154
  12. [12] S.R.S. Varadhan, Large deviations and applications, Regional conference series in applied mathematics, Philadelphia, society for Industrial and Applied Mathematics, Vol. 48, 1984. Zbl0549.60023MR758258
  13. [13] H.-T. Yau, Relative entropy and hydrodynamics of Ginzburg-Landau Models, Letters in Mathematical Physics, Vol. 22, 1991, pp. 63-80. Zbl0725.60120MR1121850

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