Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Intermittency via Self-Similarity -- An Analytic Example   Turbulence is known to show intermittency. That is, statistical properties
vary with the length scale in a way not accounted for by statistical similarity
where dimensionless ratios of moments are constant. Intermittency occurs even
in the inertial range of isotropic turbulence, where physical intuition calls
for a self-similar scale dependence. Perceived as a lack of overall scaling
invariance, inertial range intermittency has become known as anomalous scaling.
We present an analytic example demonstrating how anomalous scaling and
self-similarity in the form of global scaling invariance can coexist within the
same statistics. Whether we observe anomalous scaling or self-similarity
depends on which variables we consider. Our example illustrates consequences of
a symmetry, but is not meant as an intermittency model.

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The categories of this paper are: econ
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The categories of this paper are: hep-th
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The categories of this paper are: atom-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: patt-sol
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The categories of this paper are: cond-mat
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The categories of this paper are: nucl-ex
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The categories of this paper are: nlin
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
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The categories of this paper are: mtrl-th
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The categories of this paper are: adap-org