Geodesic
Support of diffusion on a cluster Poisson space
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 11 (2014), pp. 327-333

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We prove that in a space of cluster Poisson configurations on $\mathbb R^d$, under certain conditions, the set of configurations with multiple points has zero $C_{1,2}$ Sobolev capacity. Hence stationary diffusions on this space are supported by the subset of configurations without multiple points.
Mots-clés : cluster Poisson configurations, diffusion.
Keywords: capacity 
@article{SEMR_2014_11_a33,
     author = {O. V. Pugachev},
     title = {Support of diffusion on a cluster {Poisson} space},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {327--333},
     publisher = {mathdoc},
     volume = {11},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2014_11_a33/}
}
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O. V. Pugachev. Support of diffusion on a cluster Poisson space. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 11 (2014), pp. 327-333. http://geodesic.mathdoc.fr/item/SEMR_2014_11_a33/