Comportement hydrodynamique et entropie relative des processus de sauts, de naissances et de morts
Annales de l'I.H.P. Probabilités et statistiques, Volume 32 (1996) no. 3, pp. 361-385.
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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, Volume 32 (1996) no. 3, pp. 361-385. http://archive.numdam.org/item/AIHPB_1996__32_3_361_0/

[1] E.D. Andjel, Invariant measures for the Zero range process, Ann. Probab., Vol. 10, 1982, pp. 525-547. | MR | Zbl

[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. | Numdam | MR | Zbl

[3] A. De Masi and E. Presutti, Mathematical methods for hydrodynamic limits, Lecture Notes in Math., Vol. 1501, Springer Verlag, 1991. | MR | Zbl

[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. | MR | Zbl

[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. | MR | Zbl

[6] T.M. Liggett, Interacting Particle Systems, Springer Verlag, 1985. | MR | Zbl

[7] M. Mourragui, Thèse Université de Rouen, 1993.

[8] M. Mourragui, Limite hydrodynamique des processus de sauts, de naissances et de morts, C. R. Acad. Sci., Vol. 316, 1993. | MR | Zbl

[9] J. Smoller, Shock waves and reaction-diffusion equations, Springer, Berlin, 1982. | MR | Zbl

[10] H. Spohn, Large scale dynamics of interacting particles, Texts and monographs in physics, Springer Verlag, 1991. | Zbl

[11] D.W. Stroock, An introduction to the theory of large deviations, Springer, Berlin, 1984. | MR | Zbl

[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. | MR | Zbl

[13] H.-T. Yau, Relative entropy and hydrodynamics of Ginzburg-Landau Models, Letters in Mathematical Physics, Vol. 22, 1991, pp. 63-80. | MR | Zbl