Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Extended Weak Convergence and Utility Maximization with Proportional
  Transaction Costs   In this paper we study utility maximization with proportional transaction
costs. Assuming extended weak convergence of the underlying processes we prove
the convergence of the corresponding utility maximization problems. Moreover,
we establish a limit theorem for the optimal trading strategies. The proofs are
based on the extended weak convergence theory developed in [1] and the
Meyer--Zheng topology introduced in [24].

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The categories of this paper are: plasm-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: physics
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The categories of this paper are: bayes-an
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The categories of this paper are: atom-ph
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The categories of this paper are: q-alg
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The categories of this paper are: adap-org
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The categories of this paper are: patt-sol
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The categories of this paper are: chao-dyn
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The categories of this paper are: ao-sci
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The categories of this paper are: astro-ph
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The categories of this paper are: dg-ga
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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: nlin
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The categories of this paper are: solv-int