Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Note on Utility Maximization with Proportional Transaction Costs and
  Stability of Optimal Portfolios   The aim of this short note is to establish a limit theorem for the optimal
trading strategies in the setup of the utility maximization problem with
proportional transaction costs. This limit theorem resolves the open question
from [4]. The main idea of our proof is to establish a uniqueness result for
the optimal strategy. The proof of the uniqueness is heavily based on the dual
approach which was developed recently in [6,7,8].

7
The categories of this paper are: hep-th
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The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
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The categories of this paper are: funct-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-lat
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The categories of this paper are: acc-phys
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The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
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The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: eess
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The categories of this paper are: astro-ph