Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Decoupling via Scale-based Approximations of Limited Efficacy   We consider the decoupling theory of a broad class of $C^5$ surfaces
$\mathbb{M} \subset \mathbb{R}^3$ lacking planar points. In particular, our
approach also applies to surfaces which are not graphed by mixed homogeneous
polynomials. The study of $\mathbb{M}$ furnishes opportunity to recast
iterative linear decoupling in a more general form. Here, Taylor-based analysis
is combined with efforts to build a library of canonical surfaces
(non-cylindrical in general) by which $\mathbb{M}$ may be approximated for
decoupling purposes. The work presented may be generalized to the consideration
of other surfaces not addressed.

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The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
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The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
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The categories of this paper are: nucl-th
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
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The categories of this paper are: astro-ph