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Ergodic theorems for coupled random walks and other systems with locally interacting components. (English) Zbl 0444.60096

60K35 Interacting random processes; statistical mechanics type models; percolation theory
Full Text: DOI
[1] Griffeath, D.: Annihilating and coalescing random walks on Z d. Z. Wahrscheinlichkeitstheorie verw. Gebiete 46, 55-65 (1978) · Zbl 0384.60077 · doi:10.1007/BF00535688
[2] Holley, R., Liggett, T.M.: Generalized Potlatch and smoothing processes. Z. Wahrscheinlichkeitstheorie verw. Gebiete 55, 165-196 (1981) · Zbl 0441.60096 · doi:10.1007/BF00535158
[3] Liggett, T.M.: A characterization of the invariant measures for an infinite particle system with interactions. Trans. Amer. Math. Soc. 179, 433-453 (1973) · Zbl 0268.60090 · doi:10.1090/S0002-9947-1973-0326867-1
[4] Liggett, T.M.: An infinite particle system with zero range interactions. Ann. Probability 1, 240-253 (1973) · Zbl 0264.60083 · doi:10.1214/aop/1176996977
[5] Spitzer, F.: Infinite systems with locally interacting components. [Ann. Probabilty; to appear in 1981] · Zbl 0462.60096
[6] Hsiao, C.T.: Stochastic processes with Gaussian interaction of components. To appear in Z. Wahrscheinlichkeitstheorie verw. Gebiete 1981]
[7] Roussignol, M.: Un processus de saut sur IR a une infinité de particules. Ann. Inst. H. Poincaré, 16, 101-108 (1980 · Zbl 0443.60098
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