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

被引：1

作者：

Höpfner, R

Löcherbach, E

机构：

[1] Univ Paris 12, UFR Sci & Technol, F-94010 Creteil, France

[2] Johannes Gutenberg Univ Mainz, Fachbereich Math & Informat 17, D-55099 Mainz, Germany

来源：

ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES | 2005年 / 41卷 / 06期

关键词：

diffusing particles; branching; immigration; spatial subcriticality; invariant occupation measure; invariant occupation density; resolvants; stochastic flows;

D O I：

10.1016/j.anihpb.2004.09.001

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

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. (c) 2005 Elsevier SAS. All rights reserved.

引用

页码：1025 / 1047

页数：23

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