Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spectral Decomposition of the Tent Map with Varying Height   The generalized spectral decomposition of the Frobenius-Perron operator of
the tent map with varying height is determined at the band-splitting points.
The decomposition includes both decay onto the attracting set and the approach
to the asymptotically periodic state on the attractor. Explicit compact
expressions for the polynomial eigenstates are obtained using algebraic
techniques.

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The categories of this paper are: alg-geom
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The categories of this paper are: solv-int
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The categories of this paper are: bayes-an
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The categories of this paper are: gr-qc
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The categories of this paper are: physics
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The categories of this paper are: funct-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: math
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The categories of this paper are: eess
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The categories of this paper are: ao-sci
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The categories of this paper are: q-alg
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The categories of this paper are: hep-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: econ
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The categories of this paper are: cs