Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Equivalence of Markov's Symbolic Sequences to Two-Sided Chains   A new object of the probability theory, two-sided chain of events (symbols),
is introduced. A theory of multi-steps Markov chains with long-range memory,
proposed earlier in Phys. Rev. E 68, 06117 (2003), is developed and used to
establish the correspondence between these chains and two-sided ones. The
Markov chain is proved to be statistically equivalent to the definite two-sided
one and vice versa. The results obtained for the binary chains are generalized
to the chains taking on the arbitrary number of states.

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The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
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The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-ex
2
The categories of this paper are: math
11
The categories of this paper are: hep-lat
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The categories of this paper are: q-alg
14
The categories of this paper are: math-ph