Geodesic
Weighted Occupation Time for Branching Particle Systems and a Representation for the Supercritical Superprocess
Canadian mathematical bulletin, Tome 37 (1994) no. 2, pp. 187-196

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DOI

We obtain a representation for the supercritical Dawson-Watanabe superprocessin terms of a subcritical superprocess with immigration, where the immigration at a given time is governed by the state of an underlying branching particle system. The proof requires a new result on the laws of weighted occupation times for branching particle systems.
DOI : 10.4153/CMB-1994-028-3
Mots-clés : 60G57, 60J80, 60J25, measure valued branching, branching particle system, Dawson-Watanabe superprocess, occupation time, Feynman-Kac formula, immigration 
Evans, Steven N. Weighted Occupation Time for Branching Particle Systems and a Representation for the Supercritical Superprocess. Canadian mathematical bulletin, Tome 37 (1994) no. 2, pp. 187-196. doi: 10.4153/CMB-1994-028-3
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     author = {Evans, Steven N.},
     title = {Weighted {Occupation} {Time} for {Branching} {Particle} {Systems} and a {Representation} for the {Supercritical} {Superprocess}},
     journal = {Canadian mathematical bulletin},
     pages = {187--196},
     year = {1994},
     volume = {37},
     number = {2},
     doi = {10.4153/CMB-1994-028-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1994-028-3/}
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