Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Notion of Entropy for Stochastic Processes   A notion of dynamical entropy for discrete-time stochastic processes with
values in arbitrary measurable spaces is introduced. It turns out that the
entropy of the stochastic process defined by iterations of a measure-preserving
transformation coincides with (ordinary) entropy of the transformation. More
generally, it is shown that the entropy of any stationary process coincides
with (ordinary) entropy of shift transformation on the path-space associated to
the process. Various basic properties of this notion are considered. A
variational inequality for topological entropy of arbitrary subsets of infinite
product spaces is given.

21
The categories of this paper are: adap-org
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The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
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The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
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The categories of this paper are: comp-gas
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The categories of this paper are: econ
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The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
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The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph