@article{AIHPB_1988__24_2_237_0, author = {Ferrari, P. A. and Presutti, E. and Vares, M. E.}, title = {Non equilibrium fluctuations for a zero range process}, journal = {Annales de l'I.H.P. Probabilit\'es et statistiques}, pages = {237--268}, publisher = {Gauthier-Villars}, volume = {24}, number = {2}, year = {1988}, mrnumber = {953119}, zbl = {0653.60099}, language = {en}, url = {http://archive.numdam.org/item/AIHPB_1988__24_2_237_0/} }
TY - JOUR AU - Ferrari, P. A. AU - Presutti, E. AU - Vares, M. E. TI - Non equilibrium fluctuations for a zero range process JO - Annales de l'I.H.P. Probabilités et statistiques PY - 1988 SP - 237 EP - 268 VL - 24 IS - 2 PB - Gauthier-Villars UR - http://archive.numdam.org/item/AIHPB_1988__24_2_237_0/ LA - en ID - AIHPB_1988__24_2_237_0 ER -
%0 Journal Article %A Ferrari, P. A. %A Presutti, E. %A Vares, M. E. %T Non equilibrium fluctuations for a zero range process %J Annales de l'I.H.P. Probabilités et statistiques %D 1988 %P 237-268 %V 24 %N 2 %I Gauthier-Villars %U http://archive.numdam.org/item/AIHPB_1988__24_2_237_0/ %G en %F AIHPB_1988__24_2_237_0
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://archive.numdam.org/item/AIHPB_1988__24_2_237_0/
[1] Invariant Measures for the Zero Range Process, Ann. Prob., Vol. 10, 1982. | MR | Zbl
,[2] The Motion of a Tagged Particles in the Simple Symmetric Exclusion System on Z, Ann. Prob., Vol. 11, 1983, p. 362. | MR | Zbl
,[3] One Dimensional Hard Rod Caricature of Hydrodynamics, J. Stat. Phys., Vol. 31, 1983, p. 577. | MR
, and ,[4] Small Deviations from Local Equilibrium for a Process which Exhibits Hydrodynamical Behavior II, J. Stat. Phys., Vol. 29, 1982, p. 81. | MR
, , and ,[5] Small Deviations from Local Equilibrium for a Process which Exhibits Hydrodynamical Behavior I. J. Stat. Phys., Vol. 29, 1982, p. 57. | MR
, and ,[6] 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
, , and ,[7] Asymptotic Equivalence of Fluctuation Fields for Reversible Exclusion Processes with Speed Change, Ann. Prob., Vol. 14, 1986, p. 409-423. | MR | Zbl
, , and ,[8] Non Equilibrium Measures which Exhibit a Temperature Gradient: Study of a Model. Comm. Math. Phys., Vol. 81, 1982, p. 127. | MR | Zbl
, , et ,[9] Local Equilibrium for a One Dimensional Zero Range Process, In press on "Stochastic processes and their applications". | Zbl
, et ,[10] The Symmetric Simple Exclusion Process. I Probability Estimates, Preprint, 1986.
, , and ,[11] Generalized Ornstein Uhlenbeck Processes and Infinite Branching Brownian Motions, Kyoto Univ. R.I.M.S.A., Vol. 14, 1978, p. 741. | MR | Zbl
and ,[12] Central Limit Phenomena for Various Interacting Systems, Ann. Math., Vol. 110, 1979, p. 333. | MR | Zbl
and ,[13] Rescaling Short Range Interacting Stochastic Processes in Higher Dimensions, Colloquia Mathematica Societatis Jamos Bolyai, Vol. 27, 1979. | Zbl
and ,[14] On Tightness and Stopping Times, Stoch. Processes and their Appl., Vol. 14, 1983, p. 109. | MR | Zbl
, and ,[15] The Stochastic Evolution of Infinite Systems of Interacting Particle Systems, Lect. Notes in Math., No. 598, 1976, Springer-Verlag. | MR | Zbl
,[16] Interacting Particle Systems, Springer-Verlag, 1985. | MR | Zbl
,[17] Une condition suffisante de compacité faible pour une suite de processus. Cas des semimartingales, École Polytechnique, 1980.
,[18] Sufficient Conditions for Tightness and Weak Convergence of a Sequence of Processes, Preprint Univ. of Minesota.
,[19] Tigthness of Probabilities on C ([0, 1], S') and D([0,1], S'), Ann. Prob., Vol. 11, 1983, p. 989. | MR | Zbl
,[20] Sum of Independent Random Variables, Springer-Verlag, 1975. | Zbl
,[21] Hydrodynamics of the Voter Model, Ann. Prob., Vol. 11, 1983, p. 867. | MR | Zbl
and ,[22] Sur l'existence de solutions à certains problèmes de semimartingales, C.R. Acad. Sci. Paris, T. 290, 1980, p. 843. | MR | Zbl
,[23] Hydrodynamic gekopelter diffusionen: fluktuationen in Gleichgewicht, Lect. Notes in Math., No. 1031, Springer. | Zbl
,[24] 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] Equilibrium Fluctuations for Interacting Brownian Particles, Preprint, 1984. | MR
,[26] Multidimensional Diffusion Processes, Springer-Verlag, 1980. | MR | Zbl
and ,[27] Rigorous Derivation of Reaction Diffusion Equations with Fluctuations, Phys. Rev. Letters, Vol. 55, No. 19, 1985, p. 1947. | MR
, and ,[28] Reaction-Diffusion Equations for Interacting Particle Systems, J. Stat. Phys., Vol. 44, 1986, p. 589. | MR | Zbl
, and ,