Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Theory of Intermittency Renormalization of Gaussian Multiplicative
  Chaos Measures   A theory of intermittency differentiation is developed for a general class of
Gaussian Multiplicative Chaos measures including the measure of Bacry and Muzy
on the interval and circle as special cases. An exact, non-local functional
equation is derived for the derivative of a general functional of the total
mass of the measure with respect to intermittency. The formal solution is given
in the form of an intermittency expansion and proved to be a renormalized
expansion in the centered moments of the total mass of the measure. The full
intermittency expansion of the Mellin transform of the total mass is computed
in terms of the corresponding expansion of log-moments. The theory is shown to
extend to the dependence structure of the measure. For application, the
intermittency expansion of the Bacry-Muzy measure on the circle is computed
exactly, and the Morris integral probability distribution is shown to reproduce
the moments of the total mass and the intermittency expansion, resulting in the
conjecture that it is the distribution of the total mass. It is conjectured in
general that the intermittency expansion captures the distribution of the total
mass uniquely.

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The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
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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: hep-lat
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-th
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The categories of this paper are: nucl-th