Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ruled strips with asymptotically diverging twisting   We consider the Dirichlet Laplacian in a two-dimensional strip composed of
segments translated along a straight line with respect to a rotation angle with
velocity diverging at infinity. We show that this model exhibits a "raise of
dimension" at infinity leading to an essential spectrum determined by an
asymptotic three-dimensional tube of annular cross-section. If the
cross-section of the asymptotic tube is a disk, we also prove the existence of
discrete eigenvalues below the essential spectrum.

12
The categories of this paper are: nucl-th
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The categories of this paper are: nlin
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The categories of this paper are: adap-org
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The categories of this paper are: eess
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The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-lat
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The categories of this paper are: cond-mat
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The categories of this paper are: chem-ph
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The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
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The categories of this paper are: stat
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The categories of this paper are: dg-ga
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The categories of this paper are: quant-ph