Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Variable-Length Coding of Two-Sided Asymptotically Mean Stationary
  Measures   We collect several observations that concern variable-length coding of
two-sided infinite sequences in a probabilistic setting. Attention is paid to
images and preimages of asymptotically mean stationary measures defined on
subsets of these sequences. We point out sufficient conditions under which the
variable-length coding and its inverse preserve asymptotic mean stationarity.
Moreover, conditions for preservation of shift-invariant $\sigma$-fields and
the finite-energy property are discussed and the block entropies for stationary
means of coded processes are related in some cases. Subsequently, we apply
certain of these results to construct a stationary nonergodic process with a
desired linguistic interpretation.

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The categories of this paper are: astro-ph
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The categories of this paper are: solv-int
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The categories of this paper are: math-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-lat
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The categories of this paper are: q-fin
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-th
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The categories of this paper are: econ
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The categories of this paper are: atom-ph
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The categories of this paper are: funct-an
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The categories of this paper are: cond-mat
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The categories of this paper are: cs
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The categories of this paper are: patt-sol
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-th