Geodesic
Ergodicity of Particle Systems
Teoretičeskaâ i matematičeskaâ fizika, Tome 131 (2002) no. 3, pp. 419-431
Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We study shift ergodicity, mixing, and related problems for invariant measures of interacting particle systems. The models we consider here include ferromagnetic stochastic Ising models, voter models, contact processes, exclusion processes, three-opinion noisy biased voter models, multi-opinion voter models, etc. Our results answer some questions for these models. One of the main techniques involved is a duality argument. 
@article{TMF_2002_131_3_a4,
     author = {Jinwen Chen},
     title = {Ergodicity of {Particle} {Systems}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {419--431},
     year = {2002},
     volume = {131},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2002_131_3_a4/}
}
TY  - JOUR
AU  - Jinwen Chen
TI  - Ergodicity of Particle Systems
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2002
SP  - 419
EP  - 431
VL  - 131
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_2002_131_3_a4/
LA  - ru
ID  - TMF_2002_131_3_a4
ER  - 
%0 Journal Article
%A Jinwen Chen
%T Ergodicity of Particle Systems
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2002
%P 419-431
%V 131
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_2002_131_3_a4/
%G ru
%F TMF_2002_131_3_a4
Jinwen Chen. Ergodicity of Particle Systems. Teoretičeskaâ i matematičeskaâ fizika, Tome 131 (2002) no. 3, pp. 419-431. http://geodesic.mathdoc.fr/item/TMF_2002_131_3_a4/

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

[2] E. D. Andjel, Trans. Am. Math. Soc., 318 (1990), 601–614 | DOI | MR | Zbl

[3] J. D. Deuschel, D. W. Stroock, Large Deviations, Academic Press, Boston, MA, 1989 | MR | Zbl

[4] S. R. S. Varadhan, Large Deviations and Applications, SIAM, Philadelphia, 1984 | MR

[5] D. Revuz, Markov Chains, North-Holland, Amsterdam, 1984 | MR | Zbl

[6] M. Katori, J. Phys. A, 27 (1994), 3191–3211 | DOI | MR | Zbl

[7] F. J. López, G. Sanz, Markov Process. Related Fields, 6:3 (2000), 305–328 | MR | Zbl