Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Extinction time of logistic branching processes in a Brownian
  environment   In this paper, we study the extinction time of logistic branching processes
which are perturbed by an independent random environment driven by a Brownian
motion. Our arguments use a Lamperti-type representation which is interesting
on its own right and provides a one to one correspondence between the latter
family of processes and the family of Feller diffusions which are perturbed by
an independent spectrally positive L\'evy process. When the independent random
perturbation (of the Feller diffusion) is driven by a subordinator then the
logistic branching processes in a Brownian environment converges to a specified
distribution; otherwise, it becomes extinct a.s. In the latter scenario, and
following a similar approach to Lambert (Lambert, Ann. Appl. Probab., 2005), we
provide the expectation and the Laplace transform of the absorption time, as a
functional of the solution to a Ricatti differential equation. In particular,
the latter characterises the law of the process coming down from infinity.

1
The categories of this paper are: cs
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an