On long time almost sure asymptotics of renormalized branching diffusion processes. (Q1413100)
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scientific article; zbMATH DE number 2003843
| Language | Label | Description | Also known as |
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| English | On long time almost sure asymptotics of renormalized branching diffusion processes. |
scientific article; zbMATH DE number 2003843 |
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On long time almost sure asymptotics of renormalized branching diffusion processes. (English)
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16 November 2003
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Consider a supercritical branching diffusion on a compact manifold with diffusion generator \(Lf= (1/2)[\Delta f-\nabla u\cdot\nabla f]\), constant branching density, and binary, locally space-dependent branching. How are the offspring probabilities to be chosen to yield a given Lebesgue density of the eigenfunctional of the moment semigroup corresponding to the largest eigenvalue? The authors supply explicit expressions.
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Branching diffusion processes
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Long time behaviour
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0.7698401808738708
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