Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A new smooth-$k$ space filter approach to calculate halo abundances   We propose a new filter, a smooth-$k$ space filter, to use in the
Press-Schechter approach to model the dark matter halo mass function which
overcomes shortcomings of other filters. We test this against the mass function
measured in N-body simulations. We find that the commonly used sharp-$k$ filter
fails to reproduce the behaviour of the halo mass function at low masses
measured from simulations of models with a sharp truncation in the linear power
spectrum. We show that the predictions with our new filter agree with the
simulation results over a wider range of halo masses for both damped and
undamped power spectra than is the case with the sharp-$k$ and real-space
top-hat filters.

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The categories of this paper are: quant-ph
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The categories of this paper are: hep-lat
2
The categories of this paper are: math
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
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The categories of this paper are: solv-int
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The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn