Residence times of branching diffusion processes

被引：6
|
作者：
Dumonteil, E. [1 ]
Mazzolo, A. [2 ]
机构：
[1] IRSN, Nucl Safety Div, 31 Ave Div Leclerc, F-92260 Fontenay Aux Roses, France
[2] Univ Paris Saclay, CEA, Den Serv Etud Reacteurs & Math Appl SERMA, F-91191 Gif Sur Yvette, France
来源：
PHYSICAL REVIEW E | 2016年 / 94卷 / 01期
关键词：
D O I：
10.1103/PhysRevE.94.012131
中图分类号：
O35 [流体力学]; O53 [等离子体物理学];
学科分类号：
070204 ; 080103 ; 080704 ;
摘要：
The residence time of a branching Brownian process is the amount of time that the mother particle and all its descendants spend inside a domain. Using the Feynman-Kac formalism, we derive the residence-time equation as well as the equations for its moments for a branching diffusion process with an arbitrary number of descendants. This general approach is illustrated with simple examples in free space and in confined geometries where explicit formulas for the moments are obtained within the long time limit. In particular, we study in detail the influence of the branching mechanism on those moments. The present approach can also be applied to investigate other additive functionals of branching Brownian process.
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页数：8
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