Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Deterministic Criteria for the Absence and Existence of Arbitrage in
  Multi-Dimensional Diffusion Markets   We derive deterministic criteria for the existence and non-existence of
equivalent (local) martingale measures for financial markets driven by
multi-dimensional time-inhomogeneous diffusions. Our conditions can be used to
construct financial markets in which the \emph{no unbounded profit with bounded
risk} condition holds, while the classical \emph{no free lunch with vanishing
risk} condition fails.

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The categories of this paper are: math-ph
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The categories of this paper are: q-alg
3
The categories of this paper are: physics
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The categories of this paper are: solv-int
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-th
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The categories of this paper are: mtrl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: econ
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The categories of this paper are: hep-lat
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The categories of this paper are: nlin
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The categories of this paper are: acc-phys
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-th