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RESEARCH PRODUCT

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

Reinhard HöpfnerEva Löcherbach

subject

Statistics and ProbabilityPure mathematicsProbability theoryErgodicityMathematical analysisQuantitative Biology::Populations and EvolutionInvariant measureStatistics Probability and UncertaintyInvariant (mathematics)Ergodic processResolventMathematics

description

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.

yearjournalcountryeditionlanguage
2005-11-01Annales de l'Institut Henri Poincare (B) Probability and Statistics
https://doi.org/10.1016/j.anihpb.2004.09.001