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Pruning L'evy trees via an admissible family of branching mechanisms
HE Hui
School of Mathematical Sciences, Beijing Normal University, Beijing 100875
*Correspondence author
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Funding: ***SRFDP （No.20110003120003）
Opened online: 8 April 2014
Accepted by: none
Citation: HE Hui.Pruning L'evy trees via an admissible family of branching mechanisms[OL]. [ 8 April 2014] http://en.paper.edu.cn/en_releasepaper/content/4591607
 
 
By studying an admissible family of branching mechanisms introduced in Li (2014), a pruning procedure on L'evy trees is obtained. Then a decreasing L'evy-CRT-valued process ${T_t}$ by pruning L'evy trees and an analogous process ${T^*_t}$ are constructed by pruning a critical L'evy tree conditioned to be infinite. Under a regular condition on the admissible family of branching mechanisms, it is shown that the law of ${T_t}$ at the ascension time can be represented by ${T^*_t}$. The results generalize those studied in Abraham and Delmas (2012).
Keywords:Probability and Mathematical Statistics;admissible family of branching mechanisms; Branching processes; L'evy trees; pruning
 
 
 

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