Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the asymptotic behavior of the Diaconis and Freedman's chain in a
  multidimensional simplex   In this paper, we give out a setting of an Diaconis and Freedman's chain in a
multidimensional simplex and consider its asymptotic behavior. By using
techniques in random iterated functions theory and quasi-compact operators
theory, we first give out some sufficient conditions which ensure the existence
and uniqueness of an invariant probability measure. In some particular cases,
we give out explicit formulas of the invariant probability density. Moreover,
we completely classify all behaviors of this chain in dimensional two.
Eventually, some other settings of the chain are discussed.

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The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
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The categories of this paper are: alg-geom
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The categories of this paper are: atom-ph
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The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
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The categories of this paper are: econ
20
The categories of this paper are: acc-phys
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The categories of this paper are: eess
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The categories of this paper are: adap-org
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The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex