Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: M\"obius transformations and electronic transport properties of large
  disorderless networks   We show that the key transport states, insulating and conducting, of large
regular networks of scatterers can be described generically by negative and
zero Lyapunov exponents, respectively, of M\"obius maps that relate the
scattering matrix of systems with successive sizes. The conductive phase is
represented by weakly chaotic attractors that have been linked with anomalous
transport and ergodicity breaking. Our conclusions, verified for serial as well
as parallel stub and ring structures, reveal that mesoscopic behavior results
from a drastic reduction of degrees of freedom.

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The categories of this paper are: dg-ga
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The categories of this paper are: cmp-lg
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: alg-geom
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The categories of this paper are: econ
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The categories of this paper are: hep-lat
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The categories of this paper are: plasm-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: solv-int
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: atom-ph
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The categories of this paper are: q-fin