Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: 3D cosmic shear: numerical challenges, 3D lensing random fields
  generation and Minkowski Functionals for cosmological inference   Cosmic shear - the weak gravitational lensing effect generated by
fluctuations of the gravitational tidal fields of the large-scale structure -
is one of the most promising tools for current and future cosmological
analyses. The spherical-Bessel decomposition of the cosmic shear field ("3D
cosmic shear") is one way to maximise the amount of redshift information in a
lensing analysis and therefore provides a powerful tool to investigate in
particular the growth of cosmic structure that is crucial for dark energy
studies. However, the computation of simulated 3D cosmic shear covariance
matrices presents numerical difficulties, due to the required integrations over
highly oscillatory functions. We present and compare two numerical methods and
relative implementations to perform these integrations. We then show how to
generate 3D Gaussian random fields on the sky in spherical coordinates,
starting from the 3D cosmic shear covariances. To validate our field-generation
procedure, we calculate the Minkowski functionals associated with our random
fields, compare them with the known expectation values for the Gaussian case
and demonstrate parameter inference from Minkowski functionals from a cosmic
shear survey. This is a first step towards producing fully 3D Minkowski
functionals for a lognormal field in 3D to extract Gaussian and non-Gaussian
information from the cosmic shear field, as well as towards the use of
Minkowski functionals as a probe of cosmology beyond the commonly used
two-point statistics.

31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th