Path-valued processes associated with tree-valued processes – Zenghu Li
Zenghu Li
Beijing Normal University
http://math0.bnu.edu.cn/~lizh/engpage.htm
Date(s) : 14/11/2014 iCal
14h00 - 15h00
A family of continuous-state branching processes is constructed as the solution flow of a jump-type stochastic equation system driven by time-space noises. The family can be regarded as an inhomogeneous increasing path-valued branching Markov process. Two nonlocal branching immigration super processes can be defined from the flow. We identify explicitly the branching mechanisms of those processes. The models give different formulations of the tree-valued Markov processes of Aldous and Pitman (1998) and Abraham and Delmas (2012).
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