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Sur une procédure de branchement déterministe et ses dérivées aléatoires

Part of: Special processes Markov processes Classical measure theory

Published online by Cambridge University Press:  14 July 2016

Thierry Huillet  and
Andrzej Kłopotowski
Thierry Huillet*
Affiliation:
LIMHP-CNRS, Villetaneuse
Andrzej Kłopotowski*
Affiliation:
Université Paris XIII, Villetaneuse
*
∗ Postal address: Université Paris-Nord, Institut Galileé, Avenue J.-B. Clément, 93430 Villetaneuse, France.
∗ Postal address: Université Paris-Nord, Institut Galileé, Avenue J.-B. Clément, 93430 Villetaneuse, France.
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Abstract

This paper is concerned with the description of both a deterministic and stochastic branching procedure. The renewal equations for the deterministic branching population are first derived which allow for asymptotic results on the ‘number' and ‘generation' processes. A probabilistic version of these processes is then studied which presents some discrepancy with the standard Harris age-dependent branching processes.

Keywords

BRANCHING PROCESSAGE-DEPENDENCEHAUSDORFF DIMENSION

MSC classification

Primary: 60J80: Branching processes (Galton-Watson, birth-and-death, etc.)
Secondary: 28A78: Hausdorff and packing measures 60K05: Renewal theory
Type
Research Papers
Information
Journal of Applied Probability , Volume 31 , Issue 2 , June 1994 , pp. 333 - 347
Copyright
Copyright © Applied Probability Trust 1994 

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