Abstract
A construction is given for a general class of measure-valued Markov branching processes. The underlying spatial motion process is an arbitrary Borel right Markov process, and state-dependent offspring laws are allowed. It is shown that such processes are Hunt processes in the Ray weak* topology, and have continuous paths if and only if the total mass process is continuous. The entrance spaces of such processes are described explicitly.
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Research supported in part by NSF Grant DMS 87-21237.
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Fitzsimmons, P.J. Construction and regularity of measure-valued markov branching processes. Israel J. Math. 64, 337–361 (1988). https://doi.org/10.1007/BF02882426
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DOI: https://doi.org/10.1007/BF02882426