Absolute continuity of catalytic measure-valued branching processes. (Q1877533)
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scientific article; zbMATH DE number 2098350
| Language | Label | Description | Also known as |
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| English | Absolute continuity of catalytic measure-valued branching processes. |
scientific article; zbMATH DE number 2098350 |
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Absolute continuity of catalytic measure-valued branching processes. (English)
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7 September 2004
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A catalytic measure-valued branching process in \(\mathbb R^d\) with a Feller motion process \(\xi \) is studied, where the branching rate is given by a continuous additive functional of \(\xi \) and where the branching law may vary in space and time. A sufficient condition for absolute continuity of the values of the process with respect to Lebesgue measure is given. The condition is sharp for the classical cases. Conversely, a sufficient condition for singularity of the states is also provided.
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interacting particle systems
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super-Brownian motion
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absolute continuity
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