Residence times of branching diffusion processes - CEA - Commissariat à l’énergie atomique et aux énergies alternatives Accéder directement au contenu
Article Dans Une Revue Physical Review E Année : 2016

Residence times of branching diffusion processes

Résumé

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.
Fichier principal
Vignette du fichier
dumonteil2016.pdf (385.23 Ko) Télécharger le fichier
Origine : Fichiers éditeurs autorisés sur une archive ouverte

Dates et versions

cea-02388908 , version 1 (04-10-2022)

Identifiants

Citer

Eric Dumonteil, Alain Mazzolo. Residence times of branching diffusion processes. Physical Review E , 2016, 94, pp.012131. ⟨10.1103/PhysRevE.94.012131⟩. ⟨cea-02388908⟩
53 Consultations
54 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More