Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Anomalous dynamics and the choice of Poincar\'e recurrence-set   We investigate the dependence of Poincar\'e recurrence-times statistics on
the choice of recurrence-set, by sampling the dynamics of two- and
four-dimensional Hamiltonian maps. We derive a method that allows us to
visualize the direct relation between the shape of a recurrence-set and the
values of its return probability distribution in arbitrary phase-space
dimensions. Such procedure, which is shown to be quite effective in the
detection of tiny regions of regular motion, allows to explain it why similar
recurrence-sets have very different distributions and how to modify them in
order to enhance their return probabilities. Applied on data, this permits to
understand the co-existence of extremely long, transient power-like decays
whose anomalous exponent depends on the chosen recurrence-set.

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The categories of this paper are: math
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-th
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The categories of this paper are: q-bio
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: q-fin
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The categories of this paper are: econ
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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: cond-mat
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The categories of this paper are: patt-sol
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The categories of this paper are: bayes-an