Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A class of globally solvable Markovian quadratic BSDE systems and
  applications   We establish existence and uniqueness for a wide class of Markovian systems
of backward stochastic differential equations (BSDE) with quadratic
nonlinearities. This class is characterized by an abstract structural
assumption on the generator, an a-priori local-boundedness property, and a
locally-H\"older-continuous terminal condition. We present easily verifiable
sufficient conditions for these assumptions and treat several applications,
including stochastic equilibria in incomplete financial markets, stochastic
differential games, and martingales on Riemannian manifolds.

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The categories of this paper are: physics
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The categories of this paper are: astro-ph
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The categories of this paper are: q-bio
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The categories of this paper are: patt-sol
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The categories of this paper are: econ
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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int
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The categories of this paper are: q-alg
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The categories of this paper are: funct-an
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The categories of this paper are: q-fin
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: chao-dyn
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The categories of this paper are: quant-ph
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The categories of this paper are: cmp-lg