Absolute continuity of catalytic measure-valued branching processes

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Absolute continuity of catalytic measure-valued branching processes

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 m...

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ژورنال

عنوان ژورنال: Stochastic Processes and their Applications

سال: 2000

ISSN: 0304-4149

DOI: 10.1016/s0304-4149(00)00022-3