Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exit times for an increasing L\'evy tree-valued process   We give an explicit construction of the increasing tree-valued process
introduced by Abraham and Delmas using a random point process of trees and a
grafting procedure. This random point process will be used in companion papers
to study record processes on L\'evy trees. We use the Poissonian structure of
the jumps of the increasing tree-valued process to describe its behavior at the
first time the tree grows higher than a given height. We also give the joint
distribution of this exit time and the ascension time which corresponds to the
first infinite jump of the tree-valued process.

27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th