Renewal equations and moments of branching processes
β Scribed by B. A. Sevast'yanov
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 1968
- Tongue
- English
- Weight
- 407 KB
- Volume
- 3
- Category
- Article
- ISSN
- 0001-4346
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π SIMILAR VOLUMES
We study a class of integrable and discontinuous measure-valued branching processes. They are constructed as limits of renormalized spatial branching processes, the underlying branching distribution belonging to the domain of attraction of a stable law. These processes, computed on a test function A
Using the formalism of random trees, we construct a process solution of the spacehomogeneous Boltzmann equation. We deduce a simulation method having relationships with both the Nanbu's method and with Bird's method. The efficiency is clear for the Kac's caricature and some scalar Boltzmann cases be