期刊名称：Latin American Journal of Probability and Mathematical Statistics
电子版ISSN：1980-0436
出版年度：2018
卷号：XV
期号：2
页码：1293-1309
DOI：10.30757/ALEA.v15-48
出版社：Instituto Nacional De Matemática Pura E Aplicada
摘要：We consider the Brownian tree introduced by Aldous and the associatedQ-process which consists in an infinite spine on which are grafted independentBrownian trees. We present a reversal procedure on these trees that consists inlooking at the tree downward from its top: the branching points becoming leavesand leaves becoming branching points. We prove that the distribution of this treeis invariant under this reversal procedure, which provides a better understandingof previous results from Bi and Delmas (2016).
关键词：Stationary branching processes; Real trees; Genealogical trees;
