Abstract
In this chapter, we study a class of stochastic flows by means of stochastic equations and measure-valued processes. They are reformulations of the tree-valued processes of Abraham and Delmas (2012) and Aldous and Pitman (1998) and generalize naturally the flows studied by Bertoin and Le Gall (2000, 2006). We define such a flow by a path-valued growing process, which is actually a family of correlated CBI-processes parameterized by an interval.
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Li, Z. (2022). Path-Valued Processes and Stochastic Flows. In: Measure-Valued Branching Markov Processes. Probability Theory and Stochastic Modelling, vol 103. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-66910-5_11
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DOI: https://doi.org/10.1007/978-3-662-66910-5_11
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-66909-9
Online ISBN: 978-3-662-66910-5
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