On transition semigroups of (A,Ψ)-superprocesses with immigration

• Wilhelm Stannat ^[1]
  1. [1] Bielefeld University

     Bielefeld University

     Kreisfreie Stadt Bielefeld, Alemania

     
• Localización: Annals of probability: An official journal of the Institute of Mathematical Statistics, ISSN 0091-1798, Vol. 31, Nº. 3, 2003, págs. 1377-1412
• Idioma: inglés
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• Resumen

  • We study the global properties of transition semigroups (pν,Ψ,At) of (A,Ψ)-superprocesses over compact type spaces with possibly nonzero immigration ν in various function spaces. In particular, we compare the different rates of convergence of (pν,Ψ,At) to equilibrium. Our analysis is based on an explicit formula for the Gateaux derivative of pν,Ψ,AtF.