Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The forest associated with the record process on a L\'evy tree   We perform a pruning procedure on a L\'evy tree and instead of throwing away
the removed sub-tree, we regraft it on a given branch (not related to the
L\'evy tree). We prove that the tree constructed by regrafting is distributed
as the original L\'evy tree, generalizing a result where only Aldous's tree is
considered. As a consequence, we obtain that the quantity which represents in
some sense the number of cuts needed to isolate the root of the tree, is
distributed as the height of a leaf picked at random in the L\'evy tree.

4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas