Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lambda-lookdown model with selection   The goal of this paper is to study the lookdown model with selection in the
case of a population containing two types of individuals, with a reproduction
model which is dual to the $\Lambda$-coalescent. In particular we formulate the
infinite population "$\Lambda$-lookdown model with selection". When the measure
$\Lambda$ gives no mass to 0, we show that the proportion of one of the two
types converges, as the population size $N$ tends to infinity, towards the
solution of a stochastic differential equation driven by a Poisson point
process. We show that one of the two types fixates in finite time if and only
if the $\Lambda$-coalescent comes down from infinity. We give precise
asymptotic results in the case of the Bolthausen-Sznitman coalescent. We also
consider the general case of a combination of the Kingman and the
$\Lambda$-lookdown model.

25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con