@article{AIHPB_2001__37_2_139_0, 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}, publisher = {Elsevier}, volume = {37}, number = {2}, year = {2001}, mrnumber = {1819121}, zbl = {0981.60098}, language = {en}, url = {http://www.numdam.org/item/AIHPB_2001__37_2_139_0/} }
TY - JOUR AU - Sethuraman, Sunder TI - On extremal measures for conservative particle systems JO - Annales de l'I.H.P. Probabilités et statistiques PY - 2001 SP - 139 EP - 154 VL - 37 IS - 2 PB - Elsevier UR - http://www.numdam.org/item/AIHPB_2001__37_2_139_0/ LA - en ID - AIHPB_2001__37_2_139_0 ER -
Sethuraman, Sunder. On extremal measures for conservative particle systems. Annales de l'I.H.P. Probabilités et statistiques, Tome 37 (2001) no. 2, pp. 139-154. http://www.numdam.org/item/AIHPB_2001__37_2_139_0/
[1] Ergodicity of L2-semigroups and extremality of Gibbs states, J. Funct. Anal. 144 (1997) 394-423. | MR | Zbl
, , ,[2] On the zero-one law for exchangeable events, Ann. Probab. 7 (1979) 704-723. | MR | Zbl
, ,[3] Invariant measures for the zero range process, Ann. Probab. 10 (1982) 525-547. | MR | Zbl
,[4] Quelqes complements sur le processus des misanthropes et le processus “zero-range”, Ann. Inst. Henri Poincare 21 (4) (1985) 363-382. | Numdam
, , ,[5] Processus des misanthropes, Z. Wahr. Verw. Gebiete 70 (1985) 509-523. | MR | Zbl
,[6] Markov Processes: Characterization and Convergence, Wiley, New York, 1986. | MR | Zbl
, ,[7] Canonical Gibbs Measures, Lecture Notes in Mathematics, 760, Springer-Verlag, Berlin, 1979. | MR | Zbl
,[8] 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] Random invariant measures for Markov chains, and independent particle systems, Z. Wahr. Verw. Gebiete 45 (1978) 297-313. | MR | Zbl
,[10] Interacting Particle Systems, Springer-Verlag, New York, 1985. | MR | Zbl
,[11] A criterion for tail events for sums of independent random variables, Z. Wahr. Verw. Gebiete 25 (1973) 163-170. | MR | Zbl
,[12] Sums of Independent Random Variables, Springer-Verlag, New York, 1975. | MR | Zbl
,[13] Transition probability operators, in: Proc. Fifth Berkeley Symp. Math. Statist. Prob., Vol. 2, 1967, pp. 473-483. | MR | Zbl
,[14] Markov Processes. Structure and Asymptotic Behavior, Springer-Verlag, New York, 1971. | MR | Zbl
,[15] 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] Processus de zero-range avec particule marquee, Ann. Inst. Henri Poincare 26 (1) (1990) 5-17. | Numdam | MR | Zbl
,[17] A central limit theorem for reversible exclusion and zero-range particle systems, Ann. Probab. 24 (4) (1996) 1842-1870. | MR | Zbl
, ,[18] Large Scale Dynamics of Interacting Particles, Springer-Verlag, Berlin, 1991. | Zbl
,[19] Zero range interaction at Bose-Einstein speeds under a positive recurrent single particle law, Ann. Probab. 8 (1980) 441-450. | MR | Zbl
,