Absolute continuity of catalytic measurevalued measurevalued measurevalued branching processes

@inproceedings{Klenke2000AbsoluteCO,
  title={Absolute continuity of catalytic measurevalued measurevalued measurevalued branching processes},
  author={Achim Klenke},
  year={2000}
}
  • Achim Klenke
  • Published 2000
Classical super-Brownian motion (SBM) is known to take values in the space of absolutely continuous measures only if d=1. For d¿2 its values are almost surely singular with respect to Lebesgue measure. This result has been generalized to more general motion laws and branching laws (yielding di erent critical dimensions) and also to catalytic SBM. In this paper we study the case of a catalytic measure-valued branching process in R with a Feller process as motion process, where the branching rate… CONTINUE READING