Remarks on ergodicity and invariant occupation measure in branching diffusions with immigration

Reinhard Höpfner; Eva Löcherbach

doi:10.1016/j.anihpb.2004.09.001

Remarks on ergodicity and invariant occupation measure in branching diffusions with immigration

Reinhard Höpfner
, Eva Löcherbach

Johannes Gutenberg University
Université de PARIS XII

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

2 Citations (Scopus)

Résumé

We give a necessary and sufficient condition for ergodicity with finite invariant occupation measure for branching diffusions with immigration. We do not assume uniformly subcritial reproduction means. We discuss the structure of the invariant occupation measure and of its density.

langue originale	Anglais
Pages (de - à)	1025-1047
Nombre de pages	23
journal	Annales de l'institut Henri Poincare (B) Probability and Statistics
Volume	41
Numéro de publication	6
Les DOIs	https://doi.org/10.1016/j.anihpb.2004.09.001
état	Publié - 1 nov. 2005
Modification externe	Oui

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10.1016/j.anihpb.2004.09.001

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title = "Remarks on ergodicity and invariant occupation measure in branching diffusions with immigration",

abstract = "We give a necessary and sufficient condition for ergodicity with finite invariant occupation measure for branching diffusions with immigration. We do not assume uniformly subcritial reproduction means. We discuss the structure of the invariant occupation measure and of its density.",

keywords = "Branching, Diffusing particles, Immigration, Invariant occupation density, Invariant occupation measure, Resolvants, Spatial subcriticality, Stochastic flows",

author = "Reinhard H{\"o}pfner and Eva L{\"o}cherbach",

year = "2005",

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doi = "10.1016/j.anihpb.2004.09.001",

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T1 - Remarks on ergodicity and invariant occupation measure in branching diffusions with immigration

AU - Höpfner, Reinhard

AU - Löcherbach, Eva

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N2 - We give a necessary and sufficient condition for ergodicity with finite invariant occupation measure for branching diffusions with immigration. We do not assume uniformly subcritial reproduction means. We discuss the structure of the invariant occupation measure and of its density.

AB - We give a necessary and sufficient condition for ergodicity with finite invariant occupation measure for branching diffusions with immigration. We do not assume uniformly subcritial reproduction means. We discuss the structure of the invariant occupation measure and of its density.

KW - Branching

KW - Diffusing particles

KW - Immigration

KW - Invariant occupation density

KW - Invariant occupation measure

KW - Resolvants

KW - Spatial subcriticality

KW - Stochastic flows

UR - https://www.scopus.com/pages/publications/26844527073

U2 - 10.1016/j.anihpb.2004.09.001

DO - 10.1016/j.anihpb.2004.09.001

M3 - Article

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SN - 0246-0203

VL - 41

SP - 1025

EP - 1047

JO - Annales de l'institut Henri Poincare (B) Probability and Statistics

JF - Annales de l'institut Henri Poincare (B) Probability and Statistics

IS - 6

ER -

Remarks on ergodicity and invariant occupation measure in branching diffusions with immigration

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