On long time almost sure asymptotics of renormalized branching diffusion processes
Nicolas Fournier, Bernard Roynette (2003)
Annales de l'I.H.P. Probabilités et statistiques
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Displaying similar documents to “Remarks on ergodicity and invariant occupation measure in branching diffusions with immigration”
On long time almost sure asymptotics of renormalized branching diffusion processes
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The renormalization transformation for two-type branching models
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This paper studies countable systems of linearly and hierarchically interacting diffusions taking values in the positive quadrant. These systems arise in population dynamics for two types of individuals migrating between and interacting within colonies. Their large-scale space–time behavior can be studied by means of a renormalization program. This program, which has been carried out successfully in a number of other cases (mostly one-dimensional), is based on the construction and the...