Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Martingale representations in progressive enlargement by multivariate
  point processes   We show that all local martingales with respect to the initially enlarged
natural filtration of a vector of multivariate point processes can be weakly
represented up to the minimum among the explosion times of the components. We
also prove that a strong representation holds if any multivariate point process
of the vector has almost surely infinite explosion time and discrete mark's
space. Then we provide a condition under which the components of the
multidimensional local martingale driving the strong representation are
pairwise orthogonal.

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The categories of this paper are: cs
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The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
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The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: chem-ph
16
The categories of this paper are: stat
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The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
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The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph