Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Glass-like Universe: Real-space correlation properties of standard
  cosmological models   After reviewing the basic relevant properties of stationary stochastic
processes (SSP), defining basic terms and quantities, we discuss the properties
of the so-called Harrison-Zeldovich like spectra. These correlations, usually
characterized exclusively in k-space (i.e. in terms of power spectra P(k)), are
a fundamental feature of all current standard cosmological models. Examining
them in real space we note their characteristics to be a {\it negative} power
law tail \xi(r) \sim - r^{-4} and a {\it sub-poissonian} normalised variance in
spheres \sigma^2(R) \sim R^{-4} \ln R. We note in particular that this latter
behaviour is at the limit of the most rapid decay (\sim R^{-4}) of this
quantity possible for any stochastic distribution (continuous or discrete).
This very particular characteristic is usually obscured in cosmology by the use
of Gaussian spheres. In a simple classification of all SSP into three
categories, we highlight with the name ``super-homogeneous'' the properties of
the class to which models like this, with P(0)=0, belong. In statistical
physics language they are well described as glass-like. They do not have either
``scale-invariant'' features, in the sense of critical phenomena, nor fractal
properties. We illustrate their properties with some simple examples, in
particular that of a ``shuffled'' lattice.

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The categories of this paper are: gr-qc
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The categories of this paper are: q-bio
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The categories of this paper are: nlin
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The categories of this paper are: bayes-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: q-alg
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The categories of this paper are: comp-gas
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The categories of this paper are: quant-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-th
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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: physics
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The categories of this paper are: stat
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The categories of this paper are: chem-ph