Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Recurrence Time Statistics for Finite Size Intervals   We investigate the statistics of recurrences to finite size intervals for
chaotic dynamical systems. We find that the typical distribution presents an
exponential decay for almost all recurrence times except for a few short times
affected by a kind of memory effect. We interpret this effect as being related
to the unstable periodic orbits inside the interval. Although it is restricted
to a few short times it changes the whole distribution of recurrences. We show
that for systems with strong mixing properties the exponential decay converges
to the Poissonian statistics when the width of the interval goes to zero.
However, we alert that special attention to the size of the interval is
required in order to guarantee that the short time memory effect is negligible
when one is interested in numerically or experimentally calculated Poincar{\'e}
recurrence time statistics.

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The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
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The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
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The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
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The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex