1. Reversal property of the Brownian tree.
- Author
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Abraham, Romain and Delmas, Jean-François
- Subjects
- *
BROWNIAN motion , *INFINITY (Mathematics) , *BRANCHING processes , *INVARIANTS (Mathematics) , *MATHEMATICS - Abstract
We consider the Brownian tree introduced by Aldous and the associated Q-process which consists in an infinite spine on which are grafted independent Brownian trees. We present a reversal procedure on these trees that consists in looking at the tree downward from its top: the branching points becoming leaves and leaves becoming branching points. We prove that the distribution of this tree is invariant under this reversal procedure, which provides a better understanding of previous results from Bi and Delmas (2016). [ABSTRACT FROM AUTHOR]
- Published
- 2018
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