Abstract
In this chapter, we give the construction of several classes of superprocesses by transformations. In particular, we extend the state space of the superprocess to some σ-finite measures. Other classes we shall construct include multitype superprocesses, age-structured superprocesses, conditioned superprocesses and time-inhomogeneous superprocesses. The constructions give not only the existence but also the regularity of those superprocesses. The setting of Borel right processes we have chosen is particularly suitable for the applications of those transformations.
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© 2011 Springer-Verlag Berlin Heidelberg
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Li, Z. (2011). Constructions by Transformations. In: Measure-Valued Branching Markov Processes. Probability and Its Applications. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-15004-3_6
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DOI: https://doi.org/10.1007/978-3-642-15004-3_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-15003-6
Online ISBN: 978-3-642-15004-3
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