Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Genus Statistics of the Large-Scale Structure with Non-Gaussian Density
  Fields   As a statistical measure to quantify the topological structure of the
large-scale structure in the universe, the genus number is calculated for a
number of non-Gaussian distributions in which the density field is
characterized by a nontrivial function of some Gaussian-distributed random
numbers. As a specific example, the formulae for the lognormal and the
chi-square distributions are derived and compared with the results of $N$-body
simulations together with the previously known formulae for the Gaussian
distribution and second-order perturbation theory. It is shown that the
lognormal formula fits most of the simulation data the best.

11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
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The categories of this paper are: dg-ga
19
The categories of this paper are: eess
3
The categories of this paper are: physics