Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometric rough paths on infinite dimensional spaces   Similar to ordinary differential equations, rough paths and rough
differential equations can be formulated in a Banach space setting. For
$\alpha\in (1/3,1/2)$, we give criteria for when we can approximate Banach
space-valued weakly geometric $\alpha$-rough paths by signatures of curves of
bounded variation, given some tuning of the H\"older parameter. We show that
these criteria are satisfied for weakly geometric rough paths on Hilbert
spaces. As an application, we obtain Wong-Zakai type result for function space
valued martingales using the notion of (unbounded) rough drivers.

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The categories of this paper are: chem-ph
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The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
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The categories of this paper are: dg-ga
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-lat
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The categories of this paper are: solv-int
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The categories of this paper are: ao-sci
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The categories of this paper are: bayes-an
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The categories of this paper are: math-ph
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The categories of this paper are: eess
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The categories of this paper are: astro-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: nlin
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The categories of this paper are: physics
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The categories of this paper are: quant-ph