Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: G-expectations in infinite dimensional spaces and related PDEs   In this paper, we extend the G-expectation theory to infinite dimensions.
Such notions as a covariation set of G-normal distributed random variables,
viscosity solution, a stochastic integral driven by G-Brownian motion are
introduced and described in the given infinite dimensional case. We also give a
probabilistic representation of the unique viscosity solution to the fully
nonlinear parabolic PDE with unbounded first order term in Hilbert space in
terms of G-expectation theory.

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The categories of this paper are: dg-ga
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The categories of this paper are: hep-lat
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The categories of this paper are: adap-org
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
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The categories of this paper are: solv-int
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The categories of this paper are: cs
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The categories of this paper are: quant-ph
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The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
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The categories of this paper are: funct-an