Geodesic
Ergodic properties of random fields and figures with embedded point processes
Teoriâ veroâtnostej i ee primeneniâ, Tome 27 (1982) no. 3, pp. 502-513

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We obtain some connections between the ergodic behaviour of probability measures with respect to $n$-parameter translation groups and the corresponding behaviour of translations of this measures at random points. More generally, we connect the ergodic properties of probability measures and their Palm measures with the homogeneous kernels. 
@article{TVP_1982_27_3_a7,
     author = {M. Z\"ahle},
     title = {Ergodic properties of random fields and figures with embedded point processes},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {502--513},
     publisher = {mathdoc},
     volume = {27},
     number = {3},
     year = {1982},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1982_27_3_a7/}
}
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M. Zähle. Ergodic properties of random fields and figures with embedded point processes. Teoriâ veroâtnostej i ee primeneniâ, Tome 27 (1982) no. 3, pp. 502-513. http://geodesic.mathdoc.fr/item/TVP_1982_27_3_a7/