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Cyclic decomposition of finite stochastic systems

โœ Scribed by Kai Hwang

Publisher
Elsevier Science
Year
1974
Tongue
English
Weight
487 KB
Volume
9
Category
Article
ISSN
0022-0000

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โœฆ Synopsis

Existence conditions and techniques for partitioning the states of finite stochastic systems into cyclic classes are given in this paper. For the special class of preserved finite stochastic systems, such cyclic partitions are shown to be evaluated, explicitly, in terms of those cyclic partitions associated with the finite Markov chains embedded in the system. Generalizations and applications of above results to the periodic decomposition of stochastic sequential machines are investigated.

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## Projective limits of finite decomposition systems By U. FEISTE of Greifswald (Eingegangen am 8.12.1975) Summary. Special finite topological decomposition systems were used to get compactifications of topological spaces in [6]. I n this paper the notion of finite decomposition systems is applied