Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Growth-fragmentation processes in Brownian motion indexed by the
  Brownian tree   We consider the model of Brownian motion indexed by the Brownian tree. For
every $r\geq 0$ and every connected component of the set of points where
Brownian motion is greater than $r$, we define the boundary size of this
component, and we then show that the collection of these boundary sizes evolves
when $r$ varies like a well-identified growth-fragmentation process. We then
prove that the same growth-fragmentation process appears when slicing a
Brownian disk at height $r$ and considering the perimeters of the resulting
connected components.

37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc