On extremal measures for conservative particle systems
Annales de l'I.H.P. Probabilités et statistiques, Volume 37 (2001) no. 2, pp. 139-154.
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     author = {Sethuraman, Sunder},
     title = {On extremal measures for conservative particle systems},
     journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
     pages = {139--154},
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     volume = {37},
     number = {2},
     year = {2001},
     zbl = {0981.60098},
     mrnumber = {1819121},
     language = {en},
     url = {http://www.numdam.org/item/AIHPB_2001__37_2_139_0/}
}
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Sethuraman, Sunder. On extremal measures for conservative particle systems. Annales de l'I.H.P. Probabilités et statistiques, Volume 37 (2001) no. 2, pp. 139-154. http://www.numdam.org/item/AIHPB_2001__37_2_139_0/

[1] S Albeverio, Y.G Kondratiev, M Rockner, Ergodicity of L2-semigroups and extremality of Gibbs states, J. Funct. Anal. 144 (1997) 394-423. | MR | Zbl

[2] D Aldous, J Pitman, On the zero-one law for exchangeable events, Ann. Probab. 7 (1979) 704-723. | MR | Zbl

[3] E.D Andjel, Invariant measures for the zero range process, Ann. Probab. 10 (1982) 525-547. | MR | Zbl

[4] E Andjel, C Cocozza-Thivent, M Roussignol, Quelqes complements sur le processus des misanthropes et le processus “zero-range”, Ann. Inst. Henri Poincare 21 (4) (1985) 363-382. | Numdam

[5] C Cocozza-Thivent, Processus des misanthropes, Z. Wahr. Verw. Gebiete 70 (1985) 509-523. | MR | Zbl

[6] S Ethier, T Kurtz, Markov Processes: Characterization and Convergence, Wiley, New York, 1986. | MR | Zbl

[7] H.O Georgii, Canonical Gibbs Measures, Lecture Notes in Mathematics, 760, Springer-Verlag, Berlin, 1979. | MR | Zbl

[8] M.Z Guo, G Papanicolaou, Self-diffusion of interacting brownian particles, in: Prob. Methods in Math. Phys., Taniguchi Symp. Katata/Kyoto, Academic Press, 1985, pp. 113-151. | MR | Zbl

[9] T.M Liggett, Random invariant measures for Markov chains, and independent particle systems, Z. Wahr. Verw. Gebiete 45 (1978) 297-313. | MR | Zbl

[10] T.M Liggett, Interacting Particle Systems, Springer-Verlag, New York, 1985. | MR | Zbl

[11] J Mineka, A criterion for tail events for sums of independent random variables, Z. Wahr. Verw. Gebiete 25 (1973) 163-170. | MR | Zbl

[12] V.V Petrov, Sums of Independent Random Variables, Springer-Verlag, New York, 1975. | MR | Zbl

[13] M Rosenblatt, Transition probability operators, in: Proc. Fifth Berkeley Symp. Math. Statist. Prob., Vol. 2, 1967, pp. 473-483. | MR | Zbl

[14] M Rosenblatt, Markov Processes. Structure and Asymptotic Behavior, Springer-Verlag, New York, 1971. | MR | Zbl

[15] E Saada, A limit theorem for the position of a tagged particle in a simple exclusion process, Ann. Probab. 15 (1) (1987) 375-381. | MR | Zbl

[16] E Saada, Processus de zero-range avec particule marquee, Ann. Inst. Henri Poincare 26 (1) (1990) 5-17. | Numdam | MR | Zbl

[17] S Sethuraman, L Xu, A central limit theorem for reversible exclusion and zero-range particle systems, Ann. Probab. 24 (4) (1996) 1842-1870. | MR | Zbl

[18] H Spohn, Large Scale Dynamics of Interacting Particles, Springer-Verlag, Berlin, 1991. | Zbl

[19] E Waymire, Zero range interaction at Bose-Einstein speeds under a positive recurrent single particle law, Ann. Probab. 8 (1980) 441-450. | MR | Zbl