Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exit-Times and {\Large $\epsilon$}-Entropy for Dynamical Systems,
  Stochastic Processes, and Turbulence   We present a comprehensive investigation of $\epsilon$-entropy,
$h(\epsilon)$, in dynamical systems, stochastic processes and turbulence.
Particular emphasis is devoted on a recently proposed approach to the
calculation of the $\epsilon$-entropy based on the exit-time statistics. The
advantages of this method are demonstrated in examples of deterministic
diffusive maps, intermittent maps, stochastic self-affine and multi-affine
signals and experimental turbulent data. Concerning turbulence, the
multifractal formalism applied to the exit time statistics allows us to predict
that $h(\epsilon)\sim \epsilon^{-3}$ for velocity time measurement. This power
law is independent of the presence of intermittency and has been confirmed by
the experimental data analysis. Moreover, we show that the $\epsilon$-entropy
density of a 3-dimensional velocity field is affected by the correlations
induced by the sweeping of large scales.

15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
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The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
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The categories of this paper are: adap-org
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The categories of this paper are: quant-ph