Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Linear response formula for piecewise expanding unimodal maps   The average R(t) of a smooth function with respect to the SRB measure of a
smooth one-parameter family f_t of piecewise expanding interval maps is not
always Lipschitz. We prove that if f_t is tangent to the topological class of
f_0, then R(t) is differentiable at zero, and the derivative coincides with the
resummation previously proposed by the first named author of the (a priori
divergent) series given by Ruelle's conjecture.

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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: hep-lat
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
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The categories of this paper are: acc-phys
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The categories of this paper are: nlin
26
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: chao-dyn
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The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
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The categories of this paper are: cs
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The categories of this paper are: nucl-ex
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The categories of this paper are: chem-ph