Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gravitational Lensing Statistics by Galaxy Clusters with Smoothness
  Parameter Depending on z   Using the Eikonal approximation we study the effect of the smoothness
parameter in the Dyer-Roeder equation. We calculate the optical depth for dark
halos with NFW profile, for the abundance the Press-Schechter formalism is
used. We focus our analysis on the cross section for multiple images (three).
Different cosmologies are compared.

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The categories of this paper are: bayes-an
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The categories of this paper are: supr-con
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The categories of this paper are: ao-sci
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The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
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The categories of this paper are: q-fin
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-ex
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The categories of this paper are: adap-org
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The categories of this paper are: hep-lat
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The categories of this paper are: comp-gas
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The categories of this paper are: atom-ph
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The categories of this paper are: math-ph
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The categories of this paper are: plasm-ph