Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Decay of correlations in one-dimensional dynamics   We consider multimodal C^3 interval maps f satisfying a summability condition
on the derivatives D_n along the critical orbits which implies the existence of
an absolutely continuous f -invariant probability measure mu. If f is
non-renormalizable, mu is mixing and we show that the speed of mixing (decay of
correlations) is strongly related to the rate of growth of the sequence D_n as
n tends to infinity . We also give sufficient conditions for mu to satisfy the
Central Limit Theorem. This applies for example to the quadratic Fibonacci map
which is shown to have subexponential decay of correlations.

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The categories of this paper are: stat
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The categories of this paper are: ao-sci
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The categories of this paper are: atom-ph
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The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
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The categories of this paper are: supr-con
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The categories of this paper are: mtrl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: q-fin
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The categories of this paper are: physics
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The categories of this paper are: hep-ph
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The categories of this paper are: econ
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The categories of this paper are: hep-ex