Equilibrium stochastic dynamics of Poisson cluster ensembles

• Published in: Condensed Matter Physics
• Date: 2008
• Main Authors: Bogachev, L., Daletskii, A.
• Format: Article
• Language: English
• Published: Інститут фізики конденсованих систем НАН України 2008
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/119140
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Equilibrium stochastic dynamics of Poisson cluster ensembles / L. Bogachev, A. Daletskii // Condensed Matter Physics. — 2008. — Т. 11, № 2(54). — С. 261-273. — Бібліогр.: 18 назв. — англ.

The distribution μ of a Poisson cluster process in Χ=R^d (with n-point clusters) is studied via the projection of an auxiliary Poisson measure in the space of configurations in Χ^n, with the intensity measure being the convolution of the background intensity (of cluster centres) with the probability...