no. 2
Non equilibrium fluctuations for a zero range process
Annales de l'I.H.P. Probabilités et statistiques, Tome 24 (1988) no. 2, pp. 237-268. 
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     title = {Non equilibrium fluctuations for a zero range process},
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     pages = {237--268},
     publisher = {Gauthier-Villars},
     volume = {24},
     number = {2},
     year = {1988},
     mrnumber = {953119},
     zbl = {0653.60099},
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     url = {http://www.numdam.org/item/AIHPB_1988__24_2_237_0/}
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Ferrari, P. A.; Presutti, E.; Vares, M. E. Non equilibrium fluctuations for a zero range process. Annales de l'I.H.P. Probabilités et statistiques, Tome 24 (1988) no. 2, pp. 237-268. http://www.numdam.org/item/AIHPB_1988__24_2_237_0/

[1] E. Andjel, Invariant Measures for the Zero Range Process, Ann. Prob., Vol. 10, 1982. | MR | Zbl

[2] R. Arratia, The Motion of a Tagged Particles in the Simple Symmetric Exclusion System on Z, Ann. Prob., Vol. 11, 1983, p. 362. | MR | Zbl

[3] C. Boldrighini, Y. Dobrushin and M. Sukhov, One Dimensional Hard Rod Caricature of Hydrodynamics, J. Stat. Phys., Vol. 31, 1983, p. 577. | MR

[4] A. De Masi, P. Ferrari, N. Ianiro and E. Presutti, Small Deviations from Local Equilibrium for a Process which Exhibits Hydrodynamical Behavior II, J. Stat. Phys., Vol. 29, 1982, p. 81. | MR

[5] A. De Masi, N. Ianiro and E. Presutti, Small Deviations from Local Equilibrium for a Process which Exhibits Hydrodynamical Behavior I. J. Stat. Phys., Vol. 29, 1982, p. 57. | MR

[6] A. De Masi, N. Ianiro, E. Presutti and A. Pellegrinotti, A Survey of the Hydrodynamical Behavior of Many Particle Systems, Vol. II, Studies in Stat. Mechanics, J. L. LEBOWITZ and E. W. MONTROLL Ed, North Holland, 1984. | Zbl

[7] A. De Masi, E. Presutti, H. Spohn and D. Wick, Asymptotic Equivalence of Fluctuation Fields for Reversible Exclusion Processes with Speed Change, Ann. Prob., Vol. 14, 1986, p. 409-423. | MR | Zbl

[8] A. Galves, C. Kipnis, C. Marchioro et E. Presutti, Non Equilibrium Measures which Exhibit a Temperature Gradient: Study of a Model. Comm. Math. Phys., Vol. 81, 1982, p. 127. | MR | Zbl

[9] P. Ferrari, E. Presutti et M.E. Vares, Local Equilibrium for a One Dimensional Zero Range Process, In press on "Stochastic processes and their applications". | Zbl

[10] P. Ferrari, E. Presutti, E. Scacciatelli and M.E. Vares, The Symmetric Simple Exclusion Process. I Probability Estimates, Preprint, 1986.

[11] R. Holley and D.W. Stroock, Generalized Ornstein Uhlenbeck Processes and Infinite Branching Brownian Motions, Kyoto Univ. R.I.M.S.A., Vol. 14, 1978, p. 741. | MR | Zbl

[12] R. Holley and D.W. Stroock, Central Limit Phenomena for Various Interacting Systems, Ann. Math., Vol. 110, 1979, p. 333. | MR | Zbl

[13] R. Holley and D.W. Stroock, Rescaling Short Range Interacting Stochastic Processes in Higher Dimensions, Colloquia Mathematica Societatis Jamos Bolyai, Vol. 27, 1979. | Zbl

[14] J. Jacob, J. Memin and M. Metivier, On Tightness and Stopping Times, Stoch. Processes and their Appl., Vol. 14, 1983, p. 109. | MR | Zbl

[15] T. Liggett, The Stochastic Evolution of Infinite Systems of Interacting Particle Systems, Lect. Notes in Math., No. 598, 1976, Springer-Verlag. | MR | Zbl

[16] T. Liggett, Interacting Particle Systems, Springer-Verlag, 1985. | MR | Zbl

[17] M. Metivier, Une condition suffisante de compacité faible pour une suite de processus. Cas des semimartingales, École Polytechnique, 1980.

[18] M. Metivier, Sufficient Conditions for Tightness and Weak Convergence of a Sequence of Processes, Preprint Univ. of Minesota.

[19] I. Mitoma, Tigthness of Probabilities on C ([0, 1], S') and D([0,1], S'), Ann. Prob., Vol. 11, 1983, p. 989. | MR | Zbl

[20] U. Petrov, Sum of Independent Random Variables, Springer-Verlag, 1975. | Zbl

[21] E. Presutti and H. Spohn, Hydrodynamics of the Voter Model, Ann. Prob., Vol. 11, 1983, p. 867. | MR | Zbl

[22] R. Rebolledo, Sur l'existence de solutions à certains problèmes de semimartingales, C.R. Acad. Sci. Paris, T. 290, 1980, p. 843. | MR | Zbl

[23] H. Rost, Hydrodynamic gekopelter diffusionen: fluktuationen in Gleichgewicht, Lect. Notes in Math., No. 1031, Springer. | Zbl

[24] H. Rost, Diffusion de sphères dures en R : comportement macroscopique et équilibre local, Sem. de Prob. XVIII; Lec. Notes in Math., No. 1059, 1984, p. 127, Springer-Verlag. | Numdam | MR | Zbl

[25] H. Spohn, Equilibrium Fluctuations for Interacting Brownian Particles, Preprint, 1984. | MR

[26] D.W. Stroock and S. Varadhan, Multidimensional Diffusion Processes, Springer-Verlag, 1980. | MR | Zbl

[27] A. De Masi, P. Ferrari and J.L. Lebowitz, Rigorous Derivation of Reaction Diffusion Equations with Fluctuations, Phys. Rev. Letters, Vol. 55, No. 19, 1985, p. 1947. | MR

[28] A. De Masi, P. Ferrari and J.L. Lebowitz, Reaction-Diffusion Equations for Interacting Particle Systems, J. Stat. Phys., Vol. 44, 1986, p. 589. | MR | Zbl