Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A small-time coupling between $\Lambda$-coalescents and branching
  processes   We describe a new general connection between $\Lambda$-coalescents and
genealogies of continuous-state branching processes. This connection is based
on the construction of an explicit coupling using a particle representation
inspired by the lookdown process of Donnelly and Kurtz. This coupling has the
property that the coalescent comes down from infinity if and only if the
branching process becomes extinct, thereby answering a question of Bertoin and
Le Gall. The coupling also offers new perspective on the speed of coming down
from infinity and allows us to relate power-law behavior for $N^{\Lambda}(t)$
to the classical upper and lower indices arising in the study of pathwise
properties of L\'{e}vy processes.

0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th