Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Notes on Markov embedding   The representation problem of finite-dimensional Markov matrices in Markov
semigroups is revisited, with emphasis on concrete criteria for matrix
subclasses of theoretical or practical relevance, such as equal-input,
circulant, symmetric or doubly stochastic matrices. Here, we pay special
attention to various algebraic properties of the embedding problem, and discuss
the connection with the centraliser of a Markov matrix.

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The categories of this paper are: gr-qc
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The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
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The categories of this paper are: chem-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: econ
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The categories of this paper are: nucl-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: q-fin
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The categories of this paper are: adap-org
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The categories of this paper are: funct-an
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-lat
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The categories of this paper are: physics