Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Complex Version of G-Expectation and its Application to Conformal
  Martingale   This paper is concerned with the connection between G-Brownian Motion and
analytic functions. We introduce the complex version of sublinear expectation,
and then do the stochastic analysis in this framework. Furthermore, the
conformal G-Brownian Motion is introduced together with a representation, and
the corresponding conformal invariance is shown.

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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-ex
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The categories of this paper are: cond-mat
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The categories of this paper are: physics
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The categories of this paper are: chem-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: stat
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The categories of this paper are: comp-gas
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The categories of this paper are: nlin
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The categories of this paper are: q-fin
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The categories of this paper are: q-alg
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The categories of this paper are: solv-int
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The categories of this paper are: math-ph
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The categories of this paper are: adap-org
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The categories of this paper are: mtrl-th
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The categories of this paper are: chao-dyn