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出版American Mathematical Soc., 1991
主題Mathematics / GeneralMathematics / History & PhilosophyMathematics / Probability & Statistics / GeneralMathematics / Probability & Statistics / Stochastic Processes
ISBN08218250899780821825082
URLhttp://books.google.com.hk/books?id=cG_UCQAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋The historical process is constructed to be a superprocess associated with a general motion process and branching mechanism, which is enriched so as to contain information on genealogy. In other words, it is a Markov process taking values in the space of measures on the set of possible histories. Using the canonical representation for the infinitely divisible random measures which describe the process at fixed times, the authors obtain analytical and probabilistic representations for the associated Palm measures. They employ these representations to obtain results on the modulus of continuity and equilibirium structure for a class of superprocesses in Rd and to establish that super-Brownian motion in dimensions d 53 has constant density with respect to the appropriate Hausdorff measure.