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On Two Dimensional Markov Processes with Branching Property

1969
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Transactions of the American Mathematical Society
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Introduction. A continuous state branching Markov process (C.B.P.) was introduced by Jirina [8] and recently Lamperti [10] determined all such processes on the half line. (A quite similar result was obtained independently by the author.) This class of Markov processes contains as a special case the diffusion processes (which we shall call Feller's diffusions) studied by Feller [2] . The main objective of the present paper is to extend Lamperti's result to multi-dimensional case. For simplicity

doi:10.2307/1994726
fatcat:ftqo3djy35ewph745hee4jhiqe